{"as_of":"2026-08-12T04:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:67dc72418e8906cba2cc55b31f87788970ef3503ce95981b35237062a3856392","coverage":[{"denominator":99,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":99,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T13:32:07.936318Z","state":"measured"},{"denominator":101,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":101,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T20:34:12.286427Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2510.00123","snapshot_observed_at":"2026-08-03T20:34:12.286427Z","title":"Jokela, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.19592","last_updated":"2026-05-23T11:52:18Z","snapshot_observed_at":"2026-08-06T09:55:21.623369Z","submitted_at":"2025-11-24T19:00:00Z","title":"On decoding the string from interfaces in 2d conformal field theories","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T20:34:12.286427Z"},"links":{"cited_paper":"/paper/2510.00123","citing_paper":"/paper/2511.19592"},"observation_digest":"sha256:e2ccc2ba54c9b92602029a65f98ac10628c3b04bbec49181c57af339ca28bdbb","observation_id":"20fb55b4-909e-485c-9ee4-38fd403e9687","resolution":{"observed_at":"2026-08-03T20:34:12.286427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2510.00123","snapshot_observed_at":"2026-08-01T08:04:07.416948Z","title":"Entanglement C-functions of defects and interfaces inN= 4 supersymmetric Yang-Mills theory,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21270","last_updated":"2026-07-23T12:44:10Z","snapshot_observed_at":"2026-08-09T16:29:16.216100Z","submitted_at":"2026-07-23T12:44:10Z","title":"Defect entanglement entropy for superconformal RG Interfaces","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T08:04:07.416948Z"},"links":{"cited_paper":"/paper/2510.00123","citing_paper":"/paper/2607.21270"},"observation_digest":"sha256:d9500db3e376d8927e1bcd973e1e64d9092dd719678ce577c3897f776b4d5596","observation_id":"465b2318-bbda-45d9-bc44-35e9cdc1d91b","resolution":{"observed_at":"2026-08-01T08:04:07.416948Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2510.00123/citation-record","integrity":"/paper/2510.00123/integrity","json":"/paper/2510.00123/citation-record.json","paper":"/paper/2510.00123"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T13:31:57.476384Z","title":"Zamolodchikov,Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory,JETP Lett.43(1986) 730","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:57.476384Z"},"links":{"citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:ef60b5df0d8a31e922ca006ef3ebad6d1d14e7c71642185ce0ca2312228cd268","observation_id":"344fffcc-43c4-4ae0-89da-af14e8c78a20","resolution":{"observed_at":"2026-08-04T13:31:57.476384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1103.1181","last_updated":"2011-04-05T19:25:21Z","snapshot_observed_at":"2026-07-06T02:24:28.325777Z","submitted_at":"2011-03-07T00:56:03Z","title":"Towards the F-Theorem: N=2 Field Theories on the Three-Sphere","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1103.1181","snapshot_observed_at":"2026-08-04T13:31:57.519331Z","title":"Jafferis, I.R","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:57.519331Z"},"links":{"cited_paper":"/paper/1103.1181","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:2cd5b358ac57ab11cf29c93814cdbad3598f877a022976a5aa31741c52555e42","observation_id":"615ad151-784e-4a19-b3fb-1fdd2bae4dc0","resolution":{"observed_at":"2026-08-04T13:31:57.519331Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1011.5819","last_updated":"2011-02-20T15:57:14Z","snapshot_observed_at":"2026-07-06T02:19:47.919022Z","submitted_at":"2010-11-26T15:18:53Z","title":"Holographic c-theorems in arbitrary dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1011.5819","snapshot_observed_at":"2026-08-04T13:31:57.575691Z","title":"Myers and A","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:57.575691Z"},"links":{"cited_paper":"/paper/1011.5819","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:7cf695bd61bd39c7f7c00e9758f30f359fad1373baa36c2b4d80b2d9d703e9ab","observation_id":"f8764776-5b6b-4044-872e-fcd7652fbc2b","resolution":{"observed_at":"2026-08-04T13:31:57.575691Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1202.5650","last_updated":"2012-05-14T17:03:19Z","snapshot_observed_at":"2026-07-31T00:30:59.017964Z","submitted_at":"2012-02-25T14:10:15Z","title":"On the RG running of the entanglement entropy of a circle","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.5650","snapshot_observed_at":"2026-08-04T13:31:57.648888Z","title":"Casini and M","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:57.648888Z"},"links":{"cited_paper":"/paper/1202.5650","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:a5a514fd2914bd8f49c7630f075b4fd96b0f7cdaf4ab5852f9e8f63762e66da1","observation_id":"2e6b46f8-d2a9-463f-ae71-698d5206cc19","resolution":{"observed_at":"2026-08-04T13:31:57.648888Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T13:31:57.716534Z","title":"Cardy,Is There a c Theorem in Four-Dimensions?,Phys","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:57.716534Z"},"links":{"citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:8c87632fede23ed6d598c974b8f09335f9ab03bcb6e3acba80dbf18d6969b067","observation_id":"e8ac3966-1dee-4322-8e49-bf01470be37f","resolution":{"observed_at":"2026-08-04T13:31:57.716534Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T13:31:57.772920Z","title":"Osborn,Derivation of a Four-dimensionalcTheorem,Phys","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:57.772920Z"},"links":{"citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:2d9cc6e6dd36f7c961740567921d75e7ec891e65547e2241b30611376bc309ef","observation_id":"6fa1589f-3d65-43cd-9b76-5f4a6b6f817d","resolution":{"observed_at":"2026-08-04T13:31:57.772920Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T13:31:57.823749Z","title":"Jack and H","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:57.823749Z"},"links":{"citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:d34b02bde90c6c23852eccb5eb6e4382a223072007c1f4913b444f1c270a7c8c","observation_id":"70c065db-e95a-4acb-add2-62ca1c8dd369","resolution":{"observed_at":"2026-08-04T13:31:57.823749Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1107.3987","last_updated":"2011-08-22T11:43:01Z","snapshot_observed_at":"2026-08-04T13:46:29.984984Z","submitted_at":"2011-07-20T14:10:51Z","title":"On Renormalization Group Flows in Four Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1107.3987","snapshot_observed_at":"2026-08-04T13:31:57.892556Z","title":"Komargodski and A","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:57.892556Z"},"links":{"cited_paper":"/paper/1107.3987","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:aac792f0f3818026c2a8d80e963da8251e03a3740c765ceda27f54ca6a504d05","observation_id":"9daf341e-4177-4a78-b887-e05a59340ff5","resolution":{"observed_at":"2026-08-04T13:31:57.892556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1211.1392","last_updated":"2013-02-21T03:48:40Z","snapshot_observed_at":"2026-08-09T01:04:40.100900Z","submitted_at":"2012-11-06T21:00:20Z","title":"Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1211.1392","snapshot_observed_at":"2026-08-04T13:31:57.963733Z","title":"Grover,Entanglement Monotonicity and the Stability of Gauge Theories in Three Spacetime Dimensions,Phys","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:57.963733Z"},"links":{"cited_paper":"/paper/1211.1392","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:dbf5aec0f072da3aeff7abf610f0cd30fb63708031e396864b86caba2af01ab4","observation_id":"6ddba4f7-c9f2-467e-9796-4f5d650deff9","resolution":{"observed_at":"2026-08-04T13:31:57.963733Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9302047","last_updated":"1993-02-12T19:08:00Z","snapshot_observed_at":"2026-07-07T05:02:33.937337Z","submitted_at":"1993-02-12T19:08:00Z","title":"Geometric Classification of Conformal Anomalies in Arbitrary Dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9302047","snapshot_observed_at":"2026-08-04T13:31:58.037407Z","title":"Deser and A","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.037407Z"},"links":{"cited_paper":"/paper/hep-th/9302047","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:4bd47c14889930b3c4108f0566b09ae4d835c1f3aab4da9c4f15b8a334745fed","observation_id":"7dd14df7-c100-43a3-a99d-489d3a5ce885","resolution":{"observed_at":"2026-08-04T13:31:58.037407Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1102.0440","last_updated":"2011-02-27T12:16:05Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2011-02-02T14:32:08Z","title":"Towards a derivation of holographic entanglement entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1102.0440","snapshot_observed_at":"2026-08-04T13:31:58.116885Z","title":"Casini, M","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.116885Z"},"links":{"cited_paper":"/paper/1102.0440","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:e897f1148bac14639dd0339e19de8acd0f35626e0e5907b5cd678313d8c41159","observation_id":"14a768b0-16b6-4644-bf0c-8722d915d10c","resolution":{"observed_at":"2026-08-04T13:31:58.116885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1409.1937","last_updated":"2015-05-05T17:31:38Z","snapshot_observed_at":"2026-07-06T03:53:39.821908Z","submitted_at":"2014-09-05T20:16:31Z","title":"Interpolating between $a$ and $F$","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.1937","snapshot_observed_at":"2026-08-04T13:31:58.193492Z","title":"Giombi and I.R","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.193492Z"},"links":{"cited_paper":"/paper/1409.1937","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:da50a2ea16549d53ac28b6e6f5c5b10c31adf4d3d1362f74cb61a5bf5495daa9","observation_id":"e9096353-c007-470b-8375-f7561f0dac05","resolution":{"observed_at":"2026-08-04T13:31:58.193492Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0312197","last_updated":"2004-08-06T11:03:42Z","snapshot_observed_at":"2026-08-11T08:12:52.672015Z","submitted_at":"2003-12-16T21:59:29Z","title":"On the Boundary Entropy of One-dimensional Quantum Systems at Low Temperature","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0312197","snapshot_observed_at":"2026-08-04T13:31:58.247262Z","title":"Friedan and A","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.247262Z"},"links":{"cited_paper":"/paper/hep-th/0312197","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:f22bd5dfde8df9a0ff338a5b0c11a84e68e851b0bcf15e3e51e2ff8e944d657d","observation_id":"1eae068b-8ab4-45a0-83ae-7b3ebeb65b3c","resolution":{"observed_at":"2026-08-04T13:31:58.247262Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.01117","last_updated":"2022-01-11T15:59:38Z","snapshot_observed_at":"2026-08-10T10:53:46.896220Z","submitted_at":"2021-08-02T18:25:25Z","title":"Renormalization Group Flows on Line Defects","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.01117","snapshot_observed_at":"2026-08-04T13:31:58.289010Z","title":"Cuomo, Z","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.289010Z"},"links":{"cited_paper":"/paper/2108.01117","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:3fc638aad368f4dfdb2fbd9139eeae42d2d8775399faa08579c621594b57fe68","observation_id":"1a475f14-3175-424c-8570-179758a85623","resolution":{"observed_at":"2026-08-04T13:31:58.289010Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.02160","last_updated":"2015-09-17T19:07:17Z","snapshot_observed_at":"2026-07-06T04:29:05.669392Z","submitted_at":"2015-09-07T20:06:59Z","title":"A Constraint on Defect and Boundary Renormalization Group Flows","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.02160","snapshot_observed_at":"2026-08-04T13:31:58.365532Z","title":"Jensen and A","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.365532Z"},"links":{"cited_paper":"/paper/1509.02160","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:d737f9847145ebab663d3d64916e98b804458c309d8cd23206d727c33e9a07ae","observation_id":"243e4e63-ca28-49af-b6e1-d1e3b01ed295","resolution":{"observed_at":"2026-08-04T13:31:58.365532Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.12648","last_updated":"2021-01-29T15:40:12Z","snapshot_observed_at":"2026-08-09T01:04:45.985703Z","submitted_at":"2021-01-29T15:40:12Z","title":"Defect $a$-Theorem and $a$-Maximization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.12648","snapshot_observed_at":"2026-08-04T13:31:58.449226Z","title":"Wang,Defect a-theorem and a-maximization,JHEP02(2022) 061 [2101.12648]","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.449226Z"},"links":{"cited_paper":"/paper/2101.12648","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:4a648d2283db96a3dd3a3f301192e8555ebd8cdefba265058f2a45594988069e","observation_id":"505599fb-78ce-4138-bbb1-10e373e55352","resolution":{"observed_at":"2026-08-04T13:31:58.449226Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T13:31:58.480103Z","title":"Komargodski, F.K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.480103Z"},"links":{"citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:c534e754501d6e6ec11058caed0c0482471cce97c243b14adb39fbfe3c55b3ae","observation_id":"e324dc6c-8a9a-418a-a6e2-439752765f77","resolution":{"observed_at":"2026-08-04T13:31:58.480103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.16935","last_updated":"2023-05-02T00:49:43Z","snapshot_observed_at":"2026-08-09T01:04:28.676874Z","submitted_at":"2023-03-29T18:00:50Z","title":"Irreversibility, QNEC, and defects","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.16935","snapshot_observed_at":"2026-08-04T13:31:58.542127Z","title":"Casini, I","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.542127Z"},"links":{"cited_paper":"/paper/2303.16935","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:15a4131594a38279cd2669ad01d9137ae66519c7d485215ddb76dada02436ce2","observation_id":"9329c51a-26e6-4f71-a7da-6d22e3b96967","resolution":{"observed_at":"2026-08-04T13:31:58.542127Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0405111","last_updated":"2007-03-14T20:01:54Z","snapshot_observed_at":"2026-07-07T04:50:37.271059Z","submitted_at":"2004-05-12T13:36:07Z","title":"A finite entanglement entropy and the c-theorem","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0405111","snapshot_observed_at":"2026-08-04T13:31:58.663771Z","title":"Casini and M","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.663771Z"},"links":{"cited_paper":"/paper/hep-th/0405111","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:9a7437e018ca33296eaf3c35af86f6e7e0209c87f8180d33b14cef2b2cfa7658","observation_id":"7e460bee-cfcd-40f6-ae83-8195c94074b5","resolution":{"observed_at":"2026-08-04T13:31:58.663771Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.01870","last_updated":"2017-06-30T21:15:10Z","snapshot_observed_at":"2026-07-06T05:36:49.981924Z","submitted_at":"2017-04-06T14:48:10Z","title":"Markov property of the CFT vacuum and the a-theorem","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.01870","snapshot_observed_at":"2026-08-04T13:31:58.711544Z","title":"Casini, E","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.711544Z"},"links":{"cited_paper":"/paper/1704.01870","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:679e5915ff79b493a790e6c84c28ec7424643d971a19138b0d5881f4570a1cc3","observation_id":"481f6f38-ec65-4d48-885e-0de62bcc675a","resolution":{"observed_at":"2026-08-04T13:31:58.711544Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.06995","last_updated":"2018-10-26T09:12:36Z","snapshot_observed_at":"2026-08-05T04:23:30.611079Z","submitted_at":"2018-10-16T13:48:57Z","title":"Towards a $C$-theorem in defect CFT","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.06995","snapshot_observed_at":"2026-08-04T13:31:58.777024Z","title":"Kobayashi, T","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.777024Z"},"links":{"cited_paper":"/paper/1810.06995","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:80ae47bc9296d5daf79930bd488360cc84a8135cf08c6723a523b10ebdea6133","observation_id":"0cefdce4-ac1f-4fcf-8448-31d90f8af12b","resolution":{"observed_at":"2026-08-04T13:31:58.777024Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9901021","last_updated":"1999-01-06T13:12:40Z","snapshot_observed_at":"2026-07-07T05:18:50.487344Z","submitted_at":"1999-01-06T13:12:40Z","title":"Conformal Anomaly Of Submanifold Observables In AdS/CFT Correspondence","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9901021","snapshot_observed_at":"2026-08-04T13:31:58.846290Z","title":"Graham and E","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.846290Z"},"links":{"cited_paper":"/paper/hep-th/9901021","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:c9bb0ac7d9dacf3c254de3e4c5486300e6ead388195afd3963ee7ea9327cde4f","observation_id":"8b0f0b10-e116-4e77-8292-c47a0ce30613","resolution":{"observed_at":"2026-08-04T13:31:58.846290Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9905163","last_updated":"1999-05-22T20:50:01Z","snapshot_observed_at":"2026-07-07T05:19:58.550133Z","submitted_at":"1999-05-22T20:50:01Z","title":"Weyl anomaly for Wilson surfaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9905163","snapshot_observed_at":"2026-08-04T13:31:58.933056Z","title":"Henningson and K","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:58.933056Z"},"links":{"cited_paper":"/paper/hep-th/9905163","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:e2475acb0929c610bbd6591c461f7444cd2d7393c9d5fd340bbcc67776d31ba5","observation_id":"395b4f98-af95-4db9-b541-317b3245ef44","resolution":{"observed_at":"2026-08-04T13:31:58.933056Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0802.1017","last_updated":"2008-02-22T18:43:02Z","snapshot_observed_at":"2026-07-06T01:36:34.383557Z","submitted_at":"2008-02-07T16:21:19Z","title":"Entanglement Entropy, Trace Anomalies and Holography","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0802.1017","snapshot_observed_at":"2026-08-04T13:31:59.012160Z","title":"Schwimmer and S","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.012160Z"},"links":{"cited_paper":"/paper/0802.1017","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:552dc62ce0d4ae3438635f38e7e07dd4bb6177f1b7f7cb0b2de05b8bdc24ad36","observation_id":"78894047-b274-474c-9891-1c833e8db5dc","resolution":{"observed_at":"2026-08-04T13:31:59.012160Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1510.00021","last_updated":"2015-10-16T19:49:51Z","snapshot_observed_at":"2026-07-06T04:31:37.010802Z","submitted_at":"2015-09-30T20:15:01Z","title":"Universal Entanglement and Boundary Geometry in Conformal Field Theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1510.00021","snapshot_observed_at":"2026-08-04T13:31:59.128870Z","title":"Herzog, K.-W","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.128870Z"},"links":{"cited_paper":"/paper/1510.00021","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:faa660189c189b997eaf9eed2be74696fba4df57212edc478d321b92458b24b9","observation_id":"d991e3c4-4725-42d1-b97f-63f05704ed9e","resolution":{"observed_at":"2026-08-04T13:31:59.128870Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.07431","last_updated":"2017-09-21T17:49:34Z","snapshot_observed_at":"2026-08-08T19:51:08.157513Z","submitted_at":"2017-09-21T17:49:34Z","title":"Displacement Operators and Constraints on Boundary Central Charges","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.07431","snapshot_observed_at":"2026-08-04T13:31:59.208912Z","title":"Herzog, K.-W","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.208912Z"},"links":{"cited_paper":"/paper/1709.07431","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:c0db45304f48f86fddc086cadda7c65e845796443727d58c74169c62398fc348","observation_id":"bf89fea2-4cd8-405d-9d6d-e2d0a36ed813","resolution":{"observed_at":"2026-08-04T13:31:59.208912Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.07661","last_updated":"2024-12-02T06:24:35Z","snapshot_observed_at":"2026-08-10T18:11:48.059467Z","submitted_at":"2021-02-15T16:46:39Z","title":"Boundary conformal invariants and the conformal anomaly in five dimensions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.07661","snapshot_observed_at":"2026-08-04T13:31:59.267935Z","title":"Faraji Astaneh and S.N","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.267935Z"},"links":{"cited_paper":"/paper/2102.07661","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:b5c9560b947aadd06e561cf54ee0c0f81e0e51dba6a44bd4a5ec256f3a988490","observation_id":"db6209f5-de8d-4f66-bb42-3d51490f742a","resolution":{"observed_at":"2026-08-04T13:31:59.267935Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.14713","last_updated":"2023-03-18T18:37:16Z","snapshot_observed_at":"2026-07-06T12:13:13.587310Z","submitted_at":"2021-11-29T17:11:26Z","title":"Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.14713","snapshot_observed_at":"2026-08-04T13:31:59.329203Z","title":"Chalabi, C.P","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.329203Z"},"links":{"cited_paper":"/paper/2111.14713","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:3073d63f959b367780a32892bc9aa6d6f20dad8ea1b8515546c17fa76061b0f1","observation_id":"a70fce82-2fc3-47a5-887e-946436f7c29a","resolution":{"observed_at":"2026-08-04T13:31:59.329203Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.08745","last_updated":"2019-07-11T19:56:21Z","snapshot_observed_at":"2026-08-09T11:02:03.401690Z","submitted_at":"2018-12-20T18:26:45Z","title":"From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.08745","snapshot_observed_at":"2026-08-04T13:31:59.363526Z","title":"Jensen, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.363526Z"},"links":{"cited_paper":"/paper/1812.08745","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:188a55f52c7120105e57a4234ec6c1efe6330e3e553e9c8db12eff0e3e0ac9e8","observation_id":"a0e2ff31-5f64-4f7d-b684-57381b5e1546","resolution":{"observed_at":"2026-08-04T13:31:59.363526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9711200","last_updated":"1998-01-22T15:42:41Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1997-11-27T23:53:13Z","title":"The Large N Limit of Superconformal Field Theories and Supergravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9711200","snapshot_observed_at":"2026-08-04T13:31:59.390987Z","title":"Maldacena,The LargeNlimit of superconformal field theories and supergravity,Adv","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.390987Z"},"links":{"cited_paper":"/paper/hep-th/9711200","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:9cd238dfc5b317b14f125f75261cbd31fad347d455638f9c6ec04375d4dc4f14","observation_id":"1fac9933-5a3d-4f8f-b81e-dd2b7d61cfcd","resolution":{"observed_at":"2026-08-04T13:31:59.390987Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9802109","last_updated":"1998-03-27T22:25:16Z","snapshot_observed_at":"2026-07-07T05:15:59.969374Z","submitted_at":"1998-02-16T18:38:17Z","title":"Gauge Theory Correlators from Non-Critical String Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9802109","snapshot_observed_at":"2026-08-04T13:31:59.446683Z","title":"Gubser, I.R","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.446683Z"},"links":{"cited_paper":"/paper/hep-th/9802109","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:8b50037c5c8d100808fb192c65bafdeaa8a573b6ba241888d077e880ab42fb8f","observation_id":"6d403421-f44a-4567-a362-bad49a7d7366","resolution":{"observed_at":"2026-08-04T13:31:59.446683Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9802150","last_updated":"1998-04-06T20:45:58Z","snapshot_observed_at":"2026-08-02T14:27:11.943858Z","submitted_at":"1998-02-20T22:41:01Z","title":"Anti De Sitter Space And Holography","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9802150","snapshot_observed_at":"2026-08-04T13:31:59.503416Z","title":"Witten,Anti de Sitter space and holography,Adv","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.503416Z"},"links":{"cited_paper":"/paper/hep-th/9802150","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:be873a920471ae6d2a67af287faad052e986d77a3aa453f6261bf8c25715c7d8","observation_id":"7f31ccb9-f9e5-425f-ad37-98a2efe56766","resolution":{"observed_at":"2026-08-04T13:31:59.503416Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0603001","last_updated":"2006-03-07T19:21:09Z","snapshot_observed_at":"2026-07-07T04:56:49.142200Z","submitted_at":"2006-02-28T21:29:24Z","title":"Holographic Derivation of Entanglement Entropy from AdS/CFT","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0603001","snapshot_observed_at":"2026-08-04T13:31:59.614431Z","title":"Ryu and T","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.614431Z"},"links":{"cited_paper":"/paper/hep-th/0603001","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:1947f4c6b061e30658f1393b4be3c94e82448e78c0144ad62bc77a3b29da9473","observation_id":"bca8b504-fa01-4c02-9133-f3f2e5b47946","resolution":{"observed_at":"2026-08-04T13:31:59.614431Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0605073","last_updated":"2006-06-20T07:45:55Z","snapshot_observed_at":"2026-08-10T09:34:55.137969Z","submitted_at":"2006-05-06T08:49:11Z","title":"Aspects of Holographic Entanglement Entropy","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0605073","snapshot_observed_at":"2026-08-04T13:31:59.765927Z","title":"Ryu and T","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.765927Z"},"links":{"cited_paper":"/paper/hep-th/0605073","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:c0cbc3b5b0296b16572b65245aebcfd4f45d95116bd37f990f263a25c3dd702c","observation_id":"8392101e-82e4-45cf-874e-c18de76c7dac","resolution":{"observed_at":"2026-08-04T13:31:59.765927Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1304.4926","last_updated":"2013-06-13T14:48:06Z","snapshot_observed_at":"2026-07-06T03:11:25.576037Z","submitted_at":"2013-04-17T19:30:11Z","title":"Generalized gravitational entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.4926","snapshot_observed_at":"2026-08-04T13:31:59.906889Z","title":"Lewkowycz and J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T13:31:59.906889Z"},"links":{"cited_paper":"/paper/1304.4926","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:ccbfc8aee8156674e361f8e6639df11473bd528735fd65eead9d4b28dda0c372","observation_id":"374dbe35-288d-40ea-85ef-a86de44025ec","resolution":{"observed_at":"2026-08-04T13:31:59.906889Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1403.6475","last_updated":"2014-03-25T20:00:20Z","snapshot_observed_at":"2026-07-06T03:39:26.276970Z","submitted_at":"2014-03-25T20:00:20Z","title":"On Holographic Defect Entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1403.6475","snapshot_observed_at":"2026-08-04T13:32:00.031778Z","title":"Estes, K","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:00.031778Z"},"links":{"cited_paper":"/paper/1403.6475","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:a076548dbaa8e87cabc7b22ef3010766ab9662f0358c3b22c713e53bab24f9d6","observation_id":"9832ef2a-1adf-4156-b9f4-e5f5de582a7a","resolution":{"observed_at":"2026-08-04T13:32:00.031778Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.01554","last_updated":"2017-11-05T09:58:18Z","snapshot_observed_at":"2026-08-09T01:04:18.417983Z","submitted_at":"2017-11-05T09:58:18Z","title":"Entanglement of heavy quark impurities and generalized gravitational entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.01554","snapshot_observed_at":"2026-08-04T13:32:00.170251Z","title":"Kumar and D","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:00.170251Z"},"links":{"cited_paper":"/paper/1711.01554","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:c7a99ca384c70bb9a89d071c43c3c633c08c5a9785fe0512e8e4bad785033605","observation_id":"9e6df681-6af3-4ec5-9094-aff6298c0f8c","resolution":{"observed_at":"2026-08-04T13:32:00.170251Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.12375","last_updated":"2018-11-29T18:36:37Z","snapshot_observed_at":"2026-08-10T11:01:45.526481Z","submitted_at":"2018-11-29T18:36:37Z","title":"Holographic entanglement entropy from probe M-theory branes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.12375","snapshot_observed_at":"2026-08-04T13:32:00.309662Z","title":"Rodgers,Holographic entanglement entropy from probe M-theory branes,JHEP03(2019) 092 [1811.12375]","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:00.309662Z"},"links":{"cited_paper":"/paper/1811.12375","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:da8008a5c92ebf59f53698f8d1fca36d4d0f12811eb5d1d61dc0363398d5f304","observation_id":"e0d5a84a-d44a-452f-8ce6-1dc59f956df4","resolution":{"observed_at":"2026-08-04T13:32:00.309662Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.00923","last_updated":"2019-07-11T19:51:49Z","snapshot_observed_at":"2026-08-10T07:40:20.688317Z","submitted_at":"2018-12-03T17:28:12Z","title":"Wilson Surface Central Charge from Holographic Entanglement Entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.00923","snapshot_observed_at":"2026-08-04T13:32:00.433640Z","title":"Estes, D","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:00.433640Z"},"links":{"cited_paper":"/paper/1812.00923","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:da0430689587aca31519ac46c843f1e5243d95f7e9ad809f2f77becc69b652f7","observation_id":"67e61de5-ae05-4290-95eb-11b881f4baa8","resolution":{"observed_at":"2026-08-04T13:32:00.433640Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T13:32:00.557426Z","title":"Nakayama and T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:00.557426Z"},"links":{"citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:5cbc59fc24ba3475c3b30520b0fae7087c26c2d44bdf9db934a22007c985744f","observation_id":"cfa683b4-6cae-45b6-b290-ce544cb9a0cf","resolution":{"observed_at":"2026-08-04T13:32:00.557426Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0205236","last_updated":"2002-06-10T00:49:20Z","snapshot_observed_at":"2026-08-08T02:50:51.217729Z","submitted_at":"2002-05-23T00:46:53Z","title":"Adding flavor to AdS/CFT","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0205236","snapshot_observed_at":"2026-08-04T13:32:00.644874Z","title":"Karch and E","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:00.644874Z"},"links":{"cited_paper":"/paper/hep-th/0205236","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:2fd16e32d6bbac1f8bf78eede75155a3864ca39a94a857e46e5d47418c9f9f31","observation_id":"ab8e425c-9399-4735-a33f-2cf1dec5e8c2","resolution":{"observed_at":"2026-08-04T13:32:00.644874Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0512125","last_updated":"2006-03-28T00:08:29Z","snapshot_observed_at":"2026-07-07T04:56:03.278586Z","submitted_at":"2005-12-12T09:56:35Z","title":"Holographic Renormalization of Probe D-Branes in AdS/CFT","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0512125","snapshot_observed_at":"2026-08-04T13:32:00.758280Z","title":"Karch, A","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:00.758280Z"},"links":{"cited_paper":"/paper/hep-th/0512125","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:37f476bca9025fc010ea224c6eabf05fc5bf04bf58b3f8e9b89e371f84ccbf0f","observation_id":"720ccb98-c0c5-49f3-ab9a-d7f681e06acb","resolution":{"observed_at":"2026-08-04T13:32:00.758280Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1309.4523","last_updated":"2013-09-18T02:18:28Z","snapshot_observed_at":"2026-08-07T22:43:26.473884Z","submitted_at":"2013-09-18T02:18:28Z","title":"Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1309.4523","snapshot_observed_at":"2026-08-04T13:32:00.878151Z","title":"Jensen and A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:00.878151Z"},"links":{"cited_paper":"/paper/1309.4523","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:303d5caa5a704e81a451cec9eb3459454180535fdcd23746470c25fbb70b612b","observation_id":"b1754283-1d73-4eb1-acb1-324ad19a84ca","resolution":{"observed_at":"2026-08-04T13:32:00.878151Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1402.4497","last_updated":"2014-05-14T04:36:43Z","snapshot_observed_at":"2026-07-06T03:36:21.819537Z","submitted_at":"2014-02-18T21:22:46Z","title":"Generalized gravitational entropy of probe branes: flavor entanglement holographically","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1402.4497","snapshot_observed_at":"2026-08-04T13:32:01.001052Z","title":"Karch and C.F","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:01.001052Z"},"links":{"cited_paper":"/paper/1402.4497","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:b3fb39bb821aeb7c6a1edff6686be467bbf12f92d8d1859d5e153b88dbb3f1ac","observation_id":"a4802c2e-3bfe-4150-ae10-c7a273e01bd1","resolution":{"observed_at":"2026-08-04T13:32:01.001052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1307.5325","last_updated":"2013-10-21T18:43:47Z","snapshot_observed_at":"2026-08-09T01:04:21.206219Z","submitted_at":"2013-07-19T20:00:07Z","title":"Entanglement Entropy for Probe Branes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1307.5325","snapshot_observed_at":"2026-08-04T13:32:01.086756Z","title":"Chang and A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:01.086756Z"},"links":{"cited_paper":"/paper/1307.5325","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:5fefd7b4c2e429bfa7ff88ab06cc0d6c1d8339a4884c2c99ba08736f263a3d80","observation_id":"afb14a25-411b-41d4-ae17-eeedcf02c65b","resolution":{"observed_at":"2026-08-04T13:32:01.086756Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1505.07697","last_updated":"2015-06-09T12:00:31Z","snapshot_observed_at":"2026-08-10T18:11:23.878672Z","submitted_at":"2015-05-28T14:23:09Z","title":"Entanglement entropy and differential entropy for massive flavors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1505.07697","snapshot_observed_at":"2026-08-04T13:32:01.163252Z","title":"Jones and M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:01.163252Z"},"links":{"cited_paper":"/paper/1505.07697","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:804c41f0c65b933f09ce07bf7d7180958f1d7b3dcf9b94d40d9a39966120c477","observation_id":"88c330a3-26c3-49e0-8955-9a4d1b889af1","resolution":{"observed_at":"2026-08-04T13:32:01.163252Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.07905","last_updated":"2024-08-21T12:54:13Z","snapshot_observed_at":"2026-08-08T12:25:07.027992Z","submitted_at":"2024-01-15T19:00:01Z","title":"Flavors of entanglement","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.07905","snapshot_observed_at":"2026-08-04T13:32:01.277989Z","title":"Jokela, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:01.277989Z"},"links":{"cited_paper":"/paper/2401.07905","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:94ee67de3ea58f8dfb42dcad64af59d66e003744aa31f48304532131b85c2d02","observation_id":"4f4c6dc5-5711-4dcb-8460-9d0d35ae738e","resolution":{"observed_at":"2026-08-04T13:32:01.277989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0111135","last_updated":"2003-11-13T00:02:29Z","snapshot_observed_at":"2026-08-06T06:04:12.934740Z","submitted_at":"2001-11-14T22:20:34Z","title":"Holography and Defect Conformal Field Theories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0111135","snapshot_observed_at":"2026-08-04T13:32:01.433839Z","title":"DeWolfe, D.Z","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:01.433839Z"},"links":{"cited_paper":"/paper/hep-th/0111135","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:dfc3caed15ada5f07249eb42f435361659426c3669d89ad42a8178228593cc26","observation_id":"0705c7c4-5828-47a3-a1cb-fa8e14c93ce8","resolution":{"observed_at":"2026-08-04T13:32:01.433839Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0203020","last_updated":"2002-03-25T16:18:24Z","snapshot_observed_at":"2026-08-07T00:24:46.642843Z","submitted_at":"2002-03-03T14:52:41Z","title":"Four-Dimensional Superconformal Theories with Interacting Boundaries or Defects","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0203020","snapshot_observed_at":"2026-08-04T13:32:01.584235Z","title":"Erdmenger, Z","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:01.584235Z"},"links":{"cited_paper":"/paper/hep-th/0203020","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:f76489c02dedf11d61e862bd157d0ecf36a4a91d6a22c809f3a80c969e0fab65","observation_id":"63917023-4d3b-4b06-b5a9-b536b8e6100f","resolution":{"observed_at":"2026-08-04T13:32:01.584235Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0105132","last_updated":"2001-09-10T20:52:42Z","snapshot_observed_at":"2026-07-07T04:40:01.265941Z","submitted_at":"2001-05-14T18:17:44Z","title":"Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0105132","snapshot_observed_at":"2026-08-04T13:32:01.728000Z","title":"Karch and L","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:01.728000Z"},"links":{"cited_paper":"/paper/hep-th/0105132","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:45d12c59b74a3cb2cc045528efd6ae8591e54cb5d54a16c24280a56383a8533c","observation_id":"27c62b1f-219f-4b0d-9755-69c9ff52bfc0","resolution":{"observed_at":"2026-08-04T13:32:01.728000Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0204054","last_updated":"2002-07-03T20:10:17Z","snapshot_observed_at":"2026-07-07T04:43:09.329580Z","submitted_at":"2002-04-05T20:54:16Z","title":"Branes in AdS and pp-wave spacetimes","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0204054","snapshot_observed_at":"2026-08-04T13:32:01.920852Z","title":"Skenderis and M","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:01.920852Z"},"links":{"cited_paper":"/paper/hep-th/0204054","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:a6b00003da279c8f983256d0e7478876cd68bdde65bc1ee6dbd558341beef1fb","observation_id":"5e141d5c-5494-4045-b64b-0a683ed314ff","resolution":{"observed_at":"2026-08-04T13:32:01.920852Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0804.2902","last_updated":"2008-07-16T13:22:30Z","snapshot_observed_at":"2026-08-09T00:51:55.408656Z","submitted_at":"2008-04-17T21:01:27Z","title":"Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0804.2902","snapshot_observed_at":"2026-08-04T13:32:02.053257Z","title":"Gaiotto and E","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:02.053257Z"},"links":{"cited_paper":"/paper/0804.2902","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:3dd9b6c8df360253235d8465068489d5cd07c6c7478e5c0f8ac440df18d7ee19","observation_id":"974f3d0b-3953-435f-b547-8ecc492b49f6","resolution":{"observed_at":"2026-08-04T13:32:02.053257Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.12181","last_updated":"2019-09-26T15:20:38Z","snapshot_observed_at":"2026-08-10T18:11:48.520503Z","submitted_at":"2019-09-26T15:20:38Z","title":"The dilatation operator for defect conformal N=4 SYM","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.12181","snapshot_observed_at":"2026-08-04T13:32:02.218496Z","title":"Ipsen and K.E","venue":null,"work_id":null,"year":1909},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:02.218496Z"},"links":{"cited_paper":"/paper/1909.12181","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:29126adbab4701ab4056ba3cf1156bf81f3b24d81dbf6bc3c17231c0028c07f1","observation_id":"e989dad8-4fb2-4386-ad96-a5fdb6bb75e6","resolution":{"observed_at":"2026-08-04T13:32:02.218496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0609010","last_updated":"2006-09-01T16:08:30Z","snapshot_observed_at":"2026-08-05T07:15:48.166010Z","submitted_at":"2006-09-01T16:08:30Z","title":"Mesons and Higgs branch in defect theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0609010","snapshot_observed_at":"2026-08-04T13:32:02.474126Z","title":"Arean, A.V","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:02.474126Z"},"links":{"cited_paper":"/paper/hep-th/0609010","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:870928d7dfecc291f93dc29690136ddb9481d7ccc491c4d8b416dde5cb26c073","observation_id":"64c2cfa7-ef5b-4b97-9e96-91359b412a5a","resolution":{"observed_at":"2026-08-04T13:32:02.474126Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0703094","last_updated":"2007-03-27T18:57:43Z","snapshot_observed_at":"2026-08-08T00:50:10.616088Z","submitted_at":"2007-03-09T20:04:33Z","title":"Holographic flavor on the Higgs branch","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0703094","snapshot_observed_at":"2026-08-04T13:32:02.830896Z","title":"Arean, A.V","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:02.830896Z"},"links":{"cited_paper":"/paper/hep-th/0703094","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:2bdb8eb1fe2d48f526db07dc66b005d278ab87b4fe751b1cebcef2f9bae35b81","observation_id":"42106e7c-1840-4d17-9f11-8a1dd5606f5d","resolution":{"observed_at":"2026-08-04T13:32:02.830896Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1202.2070","last_updated":"2013-03-09T04:07:46Z","snapshot_observed_at":"2026-07-06T02:42:37.997589Z","submitted_at":"2012-02-09T18:22:27Z","title":"A refinement of entanglement entropy and the number of degrees of freedom","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1202.2070","snapshot_observed_at":"2026-08-04T13:32:03.052864Z","title":"Liu and M","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:03.052864Z"},"links":{"cited_paper":"/paper/1202.2070","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:190b533ff968ef60046375177717a431d29e714555265b9ab7d136610c63de90","observation_id":"89d9c470-c5ed-44bb-9466-c6efa13da46f","resolution":{"observed_at":"2026-08-04T13:32:03.052864Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1309.6935","last_updated":"2013-09-26T15:20:27Z","snapshot_observed_at":"2026-07-06T03:24:04.786183Z","submitted_at":"2013-09-26T15:20:27Z","title":"Probing renormalization group flows using entanglement entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1309.6935","snapshot_observed_at":"2026-08-04T13:32:03.270007Z","title":"Liu and M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:03.270007Z"},"links":{"cited_paper":"/paper/1309.6935","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:d06bc1a1f1270a9d571744af85fd310ef3bdb59b932c91fdaecf182f7a3671e9","observation_id":"4259c562-9335-472e-8f78-f1ce215e4ac8","resolution":{"observed_at":"2026-08-04T13:32:03.270007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.08955","last_updated":"2016-01-06T19:32:53Z","snapshot_observed_at":"2026-08-11T17:55:11.199495Z","submitted_at":"2015-11-29T01:50:53Z","title":"Entanglement entropy at holographic interfaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.08955","snapshot_observed_at":"2026-08-04T13:32:04.186921Z","title":"Gutperle and J.D","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:04.186921Z"},"links":{"cited_paper":"/paper/1511.08955","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:796bd2cd358ab607ddeafdbd371ec988c26fba9b0c50ffae6ae3d9888369b60d","observation_id":"a0b61ca5-be11-4a95-86bb-2621efcf747e","resolution":{"observed_at":"2026-08-04T13:32:04.186921Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1512.07241","last_updated":"2016-04-19T04:21:19Z","snapshot_observed_at":"2026-08-10T18:11:23.210649Z","submitted_at":"2015-12-22T20:40:32Z","title":"A note on entanglement entropy for topological interfaces in RCFTs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1512.07241","snapshot_observed_at":"2026-08-04T13:32:04.764582Z","title":"Gutperle and J.D","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:04.764582Z"},"links":{"cited_paper":"/paper/1512.07241","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:145a4c71115fa7aeccd54aefabb9896d795b33a6ae3f9bc1fd8ac279191afd50","observation_id":"d16a3b6f-b5bc-42fd-b374-4a478c9d4554","resolution":{"observed_at":"2026-08-04T13:32:04.764582Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.02165","last_updated":"2023-08-21T12:31:19Z","snapshot_observed_at":"2026-08-09T01:05:26.351371Z","submitted_at":"2021-07-05T17:49:23Z","title":"Universal relations for holographic interfaces","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.02165","snapshot_observed_at":"2026-08-04T13:32:04.840729Z","title":"Karch, Z.-X","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:04.840729Z"},"links":{"cited_paper":"/paper/2107.02165","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:1b1c050b9746060827669f3024a9213d26dbca6666fef4eabe9c1f8ef9a70b19","observation_id":"b24a8c6a-15cc-4a2e-8329-cbce119e1cad","resolution":{"observed_at":"2026-08-04T13:32:04.840729Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.09148","last_updated":"2023-04-16T22:28:31Z","snapshot_observed_at":"2026-08-10T18:11:49.126672Z","submitted_at":"2022-11-16T19:00:52Z","title":"Universal Behavior of Entanglement Entropies in Interface CFTs from General Holographic Spacetimes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.09148","snapshot_observed_at":"2026-08-04T13:32:04.922497Z","title":"Karch and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:04.922497Z"},"links":{"cited_paper":"/paper/2211.09148","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:bce5132aea7dd7df82433b41d1c72f294579df8778f6166348869da5149e9b6d","observation_id":"6a9da046-5334-40fb-9684-af56238c9190","resolution":{"observed_at":"2026-08-04T13:32:04.922497Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.05436","last_updated":"2023-12-19T01:15:10Z","snapshot_observed_at":"2026-07-30T17:07:34.442501Z","submitted_at":"2023-08-10T08:49:54Z","title":"Universality of Effective Central Charge in Interface CFTs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.05436","snapshot_observed_at":"2026-08-04T13:32:04.997623Z","title":"Karch, Y","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:04.997623Z"},"links":{"cited_paper":"/paper/2308.05436","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:b95bcad056e96acac8529a5c46c943394955d8b83ffbc8c14c47c892bb9e139d","observation_id":"2b01885e-b1df-4659-81cb-ae5cda565571","resolution":{"observed_at":"2026-08-04T13:32:04.997623Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.01515","last_updated":"2024-04-18T10:57:45Z","snapshot_observed_at":"2026-08-10T18:11:46.890109Z","submitted_at":"2024-04-01T22:42:26Z","title":"Universal Bound on Effective Central Charge and Its Saturation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.01515","snapshot_observed_at":"2026-08-04T13:32:05.069632Z","title":"Karch, Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.069632Z"},"links":{"cited_paper":"/paper/2404.01515","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:81d09a769911ec85fd7e18b36f49e059c8391603e4ba3f15982609ae763945e1","observation_id":"098f8fbd-8011-470a-aa3a-37eb556c9aad","resolution":{"observed_at":"2026-08-04T13:32:05.069632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.05381","last_updated":"2025-04-01T17:14:57Z","snapshot_observed_at":"2026-08-11T20:44:47.078947Z","submitted_at":"2024-12-06T19:15:24Z","title":"The boundary entropy function for interface conformal field theories","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.05381","snapshot_observed_at":"2026-08-04T13:32:05.166950Z","title":"Afxonidis, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.166950Z"},"links":{"cited_paper":"/paper/2412.05381","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:6971778c9829bf811602ae9f4bfe55641170b91ea2fc6825bb085cd1b9ebcc5b","observation_id":"9be6855f-db18-4216-8a0c-32a6e36bbd64","resolution":{"observed_at":"2026-08-04T13:32:05.166950Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.16749","last_updated":"2024-12-21T19:52:13Z","snapshot_observed_at":"2026-08-11T10:13:07.377843Z","submitted_at":"2024-12-21T19:52:13Z","title":"Janus and RG-interfaces in minimal 3d gauged supergravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.16749","snapshot_observed_at":"2026-08-04T13:32:05.258677Z","title":"Gutperle and C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.258677Z"},"links":{"cited_paper":"/paper/2412.16749","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:96034b5ead94b5a0ec81cd9374465eee1007ff2c0b64a87c2d2eb5b6e7cf2fe4","observation_id":"a3ccbadf-705d-4e1d-a57f-df3e163d4827","resolution":{"observed_at":"2026-08-04T13:32:05.258677Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.09171","last_updated":"2026-04-30T16:34:57Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-07-12T07:36:40Z","title":"Connecting boundary entropy and effective central charge at holographic interfaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.09171","snapshot_observed_at":"2026-08-04T13:32:05.338570Z","title":"Afxonidis, I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.338570Z"},"links":{"cited_paper":"/paper/2507.09171","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:0c3d8630c48652e9bcc12650d6cfc83dd8ee8b8885b47af5d5efb44c34a2c9cd","observation_id":"21243586-fe53-4325-9870-4a41feab03c3","resolution":{"observed_at":"2026-08-04T13:32:05.338570Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2307.08740","last_updated":"2023-12-16T15:49:47Z","snapshot_observed_at":"2026-08-11T16:22:01.749582Z","submitted_at":"2023-07-17T18:00:02Z","title":"Splitting interfaces in 4d $\\mathcal N=4$ SYM","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.08740","snapshot_observed_at":"2026-08-04T13:32:05.425937Z","title":"Uhlemann and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.425937Z"},"links":{"cited_paper":"/paper/2307.08740","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:ab89306bbd4d2382aac429da18e2c9aade6937bdff179a17da44f9b3efc47727","observation_id":"4f9a28f0-26f4-4511-aa78-a4ad3bcb1251","resolution":{"observed_at":"2026-08-04T13:32:05.425937Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.05188","last_updated":"2020-12-09T17:27:42Z","snapshot_observed_at":"2026-08-10T18:12:03.588528Z","submitted_at":"2020-12-09T17:27:42Z","title":"Holographic Entanglement Entropy of the Coulomb Branch","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.05188","snapshot_observed_at":"2026-08-04T13:32:05.510549Z","title":"Chalabi, S.P","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.510549Z"},"links":{"cited_paper":"/paper/2012.05188","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:9bbd623a2542b659760bcf9d0d90ca42f8a741a706d423d3209efd6bf89484a3","observation_id":"60c5c628-4c24-41a8-b826-b1b4775075f6","resolution":{"observed_at":"2026-08-04T13:32:05.510549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0011156","last_updated":"2001-05-14T18:36:23Z","snapshot_observed_at":"2026-07-07T04:38:21.469353Z","submitted_at":"2000-11-16T23:59:16Z","title":"Locally Localized Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0011156","snapshot_observed_at":"2026-08-04T13:32:05.585692Z","title":"Karch and L","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.585692Z"},"links":{"cited_paper":"/paper/hep-th/0011156","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:2d681f8ffbd5ed619ff5e88d9096cdeb1519d29455683264baa0b1e2f317e98f","observation_id":"647e7a5e-c2a9-4086-8b7f-891db9f6bb9f","resolution":{"observed_at":"2026-08-04T13:32:05.585692Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.1674","last_updated":"2012-08-23T09:27:59Z","snapshot_observed_at":"2026-07-06T02:47:43.315475Z","submitted_at":"2012-05-08T12:33:40Z","title":"Expectation values of chiral primary operators in holographic interface CFT","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1205.1674","snapshot_observed_at":"2026-08-04T13:32:05.652573Z","title":"Nagasaki and S","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.652573Z"},"links":{"cited_paper":"/paper/1205.1674","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:65c45f2a2546a45b37a54dfc6c68d7781227276e88bb5b3c1e61b083721c63f6","observation_id":"fee3a774-fdad-4d8f-8571-e115f98d77ef","resolution":{"observed_at":"2026-08-04T13:32:05.652573Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9708147","last_updated":"2004-03-02T15:59:54Z","snapshot_observed_at":"2026-08-01T06:53:44.253876Z","submitted_at":"1997-08-27T22:39:25Z","title":"Brane Dynamics From the Born-Infeld Action","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9708147","snapshot_observed_at":"2026-08-04T13:32:05.722691Z","title":"Callan and J.M","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.722691Z"},"links":{"cited_paper":"/paper/hep-th/9708147","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:50eb6a0b4b41ea132eccab709e2fd0126f7819c48ee0322f94f45b58f3c2fe8b","observation_id":"be29e413-8bae-48ba-9685-327f13cd3f5d","resolution":{"observed_at":"2026-08-04T13:32:05.722691Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.1175","last_updated":"2015-04-20T21:17:59Z","snapshot_observed_at":"2026-08-02T01:48:47.088960Z","submitted_at":"2014-10-05T16:48:49Z","title":"Branes And Supergroups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.1175","snapshot_observed_at":"2026-08-04T13:32:05.787557Z","title":"Mikhaylov and E","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.787557Z"},"links":{"cited_paper":"/paper/1410.1175","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:cccd11243c9c6353074eebe01e69ad2b0e5be05c43ffe11055cd58ee04d0de7a","observation_id":"5835f97b-d01b-4970-acef-1b70257f7b5b","resolution":{"observed_at":"2026-08-04T13:32:05.787557Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0604155","last_updated":"2007-07-09T09:44:33Z","snapshot_observed_at":"2026-08-03T01:45:28.951940Z","submitted_at":"2006-04-23T15:11:47Z","title":"Bubbling Defect CFT's","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0604155","snapshot_observed_at":"2026-08-04T13:32:05.804865Z","title":"Gomis and C","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.804865Z"},"links":{"cited_paper":"/paper/hep-th/0604155","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:9906c436910d7cff530b807fe2846f82e7445965af020d814a1b8c1cd0f3ed94","observation_id":"e01e0315-b7a3-4b6b-9cbc-047b1b54f14b","resolution":{"observed_at":"2026-08-04T13:32:05.804865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0705.0022","last_updated":"2007-05-21T18:26:57Z","snapshot_observed_at":"2026-08-05T18:28:04.599801Z","submitted_at":"2007-05-01T00:15:23Z","title":"Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0705.0022","snapshot_observed_at":"2026-08-04T13:32:05.870904Z","title":"D’Hoker, J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.870904Z"},"links":{"cited_paper":"/paper/0705.0022","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:9bb1fc150026533c1f22eb1af27ba66adb5a7d4aa3eb9e99965a9d66a8066092","observation_id":"55ce20e7-561a-4bbb-925e-d93b7af32317","resolution":{"observed_at":"2026-08-04T13:32:05.870904Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1901.02020","last_updated":"2019-01-20T13:05:07Z","snapshot_observed_at":"2026-08-10T17:40:49.030655Z","submitted_at":"2019-01-07T19:00:04Z","title":"Gravity dual of a multilayer system","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.02020","snapshot_observed_at":"2026-08-04T13:32:05.961876Z","title":"Jokela, J.M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:05.961876Z"},"links":{"cited_paper":"/paper/1901.02020","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:3830331a9941aa374a97ef5672756207de7263c9b053a26be139e05c9740961b","observation_id":"84fe0882-81cb-4eb5-b21f-2ad539af83a4","resolution":{"observed_at":"2026-08-04T13:32:05.961876Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9806087","last_updated":"1998-06-17T14:04:39Z","snapshot_observed_at":"2026-08-08T14:43:10.631138Z","submitted_at":"1998-06-11T21:51:07Z","title":"The Holographic Weyl anomaly","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9806087","snapshot_observed_at":"2026-08-04T13:32:06.051948Z","title":"Henningson and K","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.051948Z"},"links":{"cited_paper":"/paper/hep-th/9806087","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:bbb6ec08239cad5817a21c939a312026472bf09a27cb137eabad0c2c9f275013","observation_id":"6661e5f4-8b79-480b-ad1e-3c932e9d6ebc","resolution":{"observed_at":"2026-08-04T13:32:06.051948Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9906040","last_updated":"1999-06-09T12:26:05Z","snapshot_observed_at":"2026-07-07T05:20:04.670828Z","submitted_at":"1999-06-04T17:33:52Z","title":"AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9906040","snapshot_observed_at":"2026-08-04T13:32:06.153173Z","title":"Emparan,AdS / CFT duals of topological black holes and the entropy of zero energy states,JHEP06(1999) 036 [hep-th/9906040]","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.153173Z"},"links":{"cited_paper":"/paper/hep-th/9906040","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:fc18f8992c338da51cbbf4e72ae26a55388296a064824b87f4a3d0446fb8c127","observation_id":"10c8a053-9bfb-482b-b095-b9b345b4ebad","resolution":{"observed_at":"2026-08-04T13:32:06.153173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1607.00390","last_updated":"2016-08-10T19:22:22Z","snapshot_observed_at":"2026-08-08T03:03:33.981120Z","submitted_at":"2016-07-01T20:00:11Z","title":"The g-theorem and quantum information theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1607.00390","snapshot_observed_at":"2026-08-04T13:32:06.225649Z","title":"Casini, I","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.225649Z"},"links":{"cited_paper":"/paper/1607.00390","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:7262e5fbe4c76a04cab6efba7393816f1d994ef4983df3f334f0cac0cb411471","observation_id":"060cbf7c-974c-4182-b507-ff014e22ecc0","resolution":{"observed_at":"2026-08-04T13:32:06.225649Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.10575","last_updated":"2023-03-21T11:10:30Z","snapshot_observed_at":"2026-08-10T13:10:10.880917Z","submitted_at":"2022-12-20T19:00:01Z","title":"The entropic $g$-theorem in general spacetime dimension","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.10575","snapshot_observed_at":"2026-08-04T13:32:06.302589Z","title":"Casini, I","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.302589Z"},"links":{"cited_paper":"/paper/2212.10575","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:cf41ef62ed2f0d390ff662e7d771bec25a1f9e9b6a898bc9831ad6e5b5b7ee8d","observation_id":"2c4a5b5f-14ef-4bc8-8535-4e2d436319a3","resolution":{"observed_at":"2026-08-04T13:32:06.302589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1611.00016","last_updated":"2016-10-31T20:03:38Z","snapshot_observed_at":"2026-08-04T19:50:44.046196Z","submitted_at":"2016-10-31T20:03:38Z","title":"Relative entropy and the RG flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.00016","snapshot_observed_at":"2026-08-04T13:32:06.402701Z","title":"Casini, E","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.402701Z"},"links":{"cited_paper":"/paper/1611.00016","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:c54c350ca6c6f1b6f7c4c0fb3e4ce64e6a39352429d81e768a0b31ebbc5c1fdd","observation_id":"5f340fdf-8c46-4eab-9868-b2ead05702ec","resolution":{"observed_at":"2026-08-04T13:32:06.402701Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.08183","last_updated":"2018-12-19T19:00:05Z","snapshot_observed_at":"2026-08-04T00:25:53.540973Z","submitted_at":"2018-12-19T19:00:05Z","title":"Irreversibility in quantum field theories with boundaries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.08183","snapshot_observed_at":"2026-08-04T13:32:06.474109Z","title":"Casini, I","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.474109Z"},"links":{"cited_paper":"/paper/1812.08183","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:2501a1cde093be8502b61c05471223fd0e5e18c23c4ae89e92eb783e6ebcd04b","observation_id":"594d8857-94c2-48c0-8143-902f80cf9d2a","resolution":{"observed_at":"2026-08-04T13:32:06.474109Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0710.4348","last_updated":"2007-11-12T19:26:03Z","snapshot_observed_at":"2026-07-06T01:31:37.701334Z","submitted_at":"2007-10-24T18:56:10Z","title":"Boundary Entropy Can Increase Under Bulk RG Flow","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0710.4348","snapshot_observed_at":"2026-08-04T13:32:06.566703Z","title":"Green, M","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.566703Z"},"links":{"cited_paper":"/paper/0710.4348","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:17fc5f8387e77bd7f90a0c9375c246f541b50b407ada328880c95327fab2df52","observation_id":"e0a34acd-1394-4ecd-ac71-87c845a4afbe","resolution":{"observed_at":"2026-08-04T13:32:06.566703Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.04929","last_updated":"2020-06-04T06:32:11Z","snapshot_observed_at":"2026-08-10T18:11:26.727853Z","submitted_at":"2020-04-10T07:26:20Z","title":"Boundary entropy under ambient RG flow in the AdS/BCFT model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.04929","snapshot_observed_at":"2026-08-04T13:32:06.665863Z","title":"Sato,Boundary entropy under ambient RG flow in the AdS/BCFT model,Phys","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.665863Z"},"links":{"cited_paper":"/paper/2004.04929","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:4f2a0ccbc859a15d220f65d070a27262890ae92824bc1a16bdf71598ceaf1773","observation_id":"8379679f-6a89-4476-877c-aade988b4ea4","resolution":{"observed_at":"2026-08-04T13:32:06.665863Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.18403","last_updated":"2024-06-19T12:30:58Z","snapshot_observed_at":"2026-08-10T18:12:02.567452Z","submitted_at":"2024-04-29T03:38:56Z","title":"The defect b-theorem under bulk RG flows","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.18403","snapshot_observed_at":"2026-08-04T13:32:06.747558Z","title":"Shachar, R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.747558Z"},"links":{"cited_paper":"/paper/2404.18403","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:b5c2c23ec97009f8256958cb8ddad6e15ab62ca55c660a00415f0677846805e1","observation_id":"fe1f5318-a067-4f46-8fa7-b3ab4e1a0282","resolution":{"observed_at":"2026-08-04T13:32:06.747558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1709.08650","last_updated":"2017-09-25T18:01:34Z","snapshot_observed_at":"2026-08-06T11:45:00.147005Z","submitted_at":"2017-09-25T18:01:34Z","title":"Supersymmetric D3/D5 for massive defects on curved space","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1709.08650","snapshot_observed_at":"2026-08-04T13:32:06.837666Z","title":"Robinson and C.F","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.837666Z"},"links":{"cited_paper":"/paper/1709.08650","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:e61de0a7f97bfa5d27c2593f815e61cae8ba07c7eed4ebd7714fefea6650b046","observation_id":"ef529369-0e57-407b-92ed-d48e353532c3","resolution":{"observed_at":"2026-08-04T13:32:06.837666Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.09360","last_updated":"2022-10-12T07:24:07Z","snapshot_observed_at":"2026-08-09T01:05:12.929664Z","submitted_at":"2022-07-19T16:03:52Z","title":"$c$-Functions in Flows Across Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.09360","snapshot_observed_at":"2026-08-04T13:32:06.930931Z","title":"González Lezcano, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:06.930931Z"},"links":{"cited_paper":"/paper/2207.09360","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:fc14cf29374124b2b418b1495d4fa78485854cf41200b37e25391ba1abc70d14","observation_id":"181dc8c0-67fa-47fa-a308-2033d7aa3a28","resolution":{"observed_at":"2026-08-04T13:32:06.930931Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T13:32:07.025598Z","title":"Jokela, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.025598Z"},"links":{"citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:29a4ab547a4d2908a85d3c02afef8387fe7b667c7f2714f61b422f44ae2fc301","observation_id":"03682f97-7c11-4e87-8786-d70dc8828183","resolution":{"observed_at":"2026-08-04T13:32:07.025598Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1607.04998","last_updated":"2016-11-24T14:30:12Z","snapshot_observed_at":"2026-08-09T01:05:10.935258Z","submitted_at":"2016-07-18T10:06:41Z","title":"D3-D5 theories with unquenched flavors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1607.04998","snapshot_observed_at":"2026-08-04T13:32:07.117410Z","title":"Conde, H","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.117410Z"},"links":{"cited_paper":"/paper/1607.04998","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:93cee6c1d588347a75705248ebd10a870c4693b79cc236c6a94637e6a6fee034","observation_id":"b6e51053-8a73-44d2-8d95-5da9a97ab8ae","resolution":{"observed_at":"2026-08-04T13:32:07.117410Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1710.00548","last_updated":"2018-02-12T13:19:57Z","snapshot_observed_at":"2026-08-10T18:11:25.225940Z","submitted_at":"2017-10-02T09:23:20Z","title":"Anisotropic D3-D5 black holes with unquenched flavors","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.00548","snapshot_observed_at":"2026-08-04T13:32:07.175577Z","title":"Penín, A.V","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.175577Z"},"links":{"cited_paper":"/paper/1710.00548","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:4d49bc5c002df1e5c979b9379273c492686cf7da08b0ecf0ad25b3960ac9355f","observation_id":"0b1d0572-0ad9-44ca-b483-52e7fc856a7f","resolution":{"observed_at":"2026-08-04T13:32:07.175577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.04958","last_updated":"2022-08-09T18:00:01Z","snapshot_observed_at":"2026-08-10T18:11:24.306170Z","submitted_at":"2022-08-09T18:00:01Z","title":"Flavored anisotropic black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.04958","snapshot_observed_at":"2026-08-04T13:32:07.258604Z","title":"Garbayo, C","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.258604Z"},"links":{"cited_paper":"/paper/2208.04958","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:38db9bac421a1552bbc068f52acd7d28bbba7c5ff2fa1ed2c158df8139345461","observation_id":"1e75db26-7b04-4db8-91c2-9788ca8bebf6","resolution":{"observed_at":"2026-08-04T13:32:07.258604Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1002.1088","last_updated":"2010-02-04T21:48:07Z","snapshot_observed_at":"2026-08-02T22:19:29.747418Z","submitted_at":"2010-02-04T21:48:07Z","title":"Unquenched flavor in the gauge/gravity correspondence","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1002.1088","snapshot_observed_at":"2026-08-04T13:32:07.345828Z","title":"Núñez, A","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.345828Z"},"links":{"cited_paper":"/paper/1002.1088","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:c7d2370d99e5ad095b9b40d310e566c587a1cdfecf131e3b910dc56461e17cf2","observation_id":"e4e6d79a-78c1-484d-bc2b-759fc9e6842d","resolution":{"observed_at":"2026-08-04T13:32:07.345828Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.3608","last_updated":"2014-11-13T16:36:06Z","snapshot_observed_at":"2026-08-02T08:25:05.509561Z","submitted_at":"2014-11-13T16:36:06Z","title":"On shape dependence of holographic mutual information in AdS4","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1411.3608","snapshot_observed_at":"2026-08-04T13:32:07.434908Z","title":"Fonda, L","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.434908Z"},"links":{"cited_paper":"/paper/1411.3608","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:7670d8de425be46913274abfad67e3960d499dc3e87ec601bab4422ee7062809","observation_id":"caf1283e-4db2-44e7-b954-562d1cbffd6b","resolution":{"observed_at":"2026-08-04T13:32:07.434908Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.09582","last_updated":"2019-06-18T12:32:38Z","snapshot_observed_at":"2026-08-09T01:04:38.100796Z","submitted_at":"2019-04-21T12:00:11Z","title":"Notes on entanglement wedge cross sections","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.09582","snapshot_observed_at":"2026-08-04T13:32:07.507557Z","title":"Jokela and A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.507557Z"},"links":{"cited_paper":"/paper/1904.09582","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:24f8cddbe523114069cbd21a6ad725dc24b45876bdecf83860e92f55265d93e9","observation_id":"a9efc311-0ba6-4642-8ee2-b1b51c2e5301","resolution":{"observed_at":"2026-08-04T13:32:07.507557Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1506.06195","last_updated":"2015-06-20T02:33:54Z","snapshot_observed_at":"2026-07-06T04:21:28.661110Z","submitted_at":"2015-06-20T02:33:54Z","title":"Mutual information and the F-theorem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1506.06195","snapshot_observed_at":"2026-08-04T13:32:07.591974Z","title":"Casini, M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.591974Z"},"links":{"cited_paper":"/paper/1506.06195","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:6736c94d4d25699e8d6a7a779aaefab5f9e407e370ac185c16db924f29aeb141","observation_id":"8bf23f81-6da7-4610-b2f7-2693e3be261b","resolution":{"observed_at":"2026-08-04T13:32:07.591974Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1003.4965","last_updated":"2010-07-15T19:02:50Z","snapshot_observed_at":"2026-08-08T12:30:25.932644Z","submitted_at":"2010-03-25T18:11:30Z","title":"Quantum Hall Effect in a Holographic Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1003.4965","snapshot_observed_at":"2026-08-04T13:32:07.646210Z","title":"Bergman, N","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.646210Z"},"links":{"cited_paper":"/paper/1003.4965","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:7a8015c421e2581ea7d2c1a59059d6c7c4adbf482ab49ccd334e11130fd97ef8","observation_id":"45ff886f-51b1-495e-a32d-97462d837973","resolution":{"observed_at":"2026-08-04T13:32:07.646210Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1210.7015","last_updated":"2012-11-27T09:27:22Z","snapshot_observed_at":"2026-07-06T02:58:28.615507Z","submitted_at":"2012-10-25T22:41:40Z","title":"Chiral primary one-point functions in the D3-D7 defect conformal field theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1210.7015","snapshot_observed_at":"2026-08-04T13:32:07.730238Z","title":"Kristjansen, G.W","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.730238Z"},"links":{"cited_paper":"/paper/1210.7015","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:3cde0421267bd7d5235183ab203d208847717b06d57389e78c7bd09a020f491e","observation_id":"a1815ee4-fd16-4567-bd5f-bab0e8e186cd","resolution":{"observed_at":"2026-08-04T13:32:07.730238Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.11985","last_updated":"2025-01-21T09:02:00Z","snapshot_observed_at":"2026-08-10T17:35:55.378973Z","submitted_at":"2025-01-21T09:02:00Z","title":"String theory methods for defect CFTs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.11985","snapshot_observed_at":"2026-08-04T13:32:07.830905Z","title":"Linardopoulos,String theory methods for defect CFTs,2501.11985","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.830905Z"},"links":{"cited_paper":"/paper/2501.11985","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:bf070c6aeb50a151b9936c45bcd2a69bae95b8fbcded25a8989c62dd7ca72857","observation_id":"e776f6f0-2cd1-40d5-9096-33f89587412a","resolution":{"observed_at":"2026-08-04T13:32:07.830905Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0002230","last_updated":"2000-11-30T16:13:22Z","snapshot_observed_at":"2026-08-12T01:44:43.764489Z","submitted_at":"2000-02-28T20:37:57Z","title":"Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0002230","snapshot_observed_at":"2026-08-04T13:32:07.877976Z","title":"de Haro, S.N","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.877976Z"},"links":{"cited_paper":"/paper/hep-th/0002230","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:c99bf913a21dfac833fd95524a197e17117577dd0824599d3e5cde51ab357fcf","observation_id":"444378cf-35c2-4780-91ed-fdcee0758f47","resolution":{"observed_at":"2026-08-04T13:32:07.877976Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.08715","last_updated":"2022-03-23T15:32:48Z","snapshot_observed_at":"2026-08-09T01:05:33.044679Z","submitted_at":"2021-12-16T09:10:32Z","title":"Flavored ABJM theory on the sphere and holographic F-functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.08715","snapshot_observed_at":"2026-08-04T13:32:07.936318Z","title":"Jokela, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory","version":2},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-04T13:32:07.936318Z"},"links":{"cited_paper":"/paper/2112.08715","citing_paper":"/paper/2510.00123"},"observation_digest":"sha256:87498ee21fa14fffed89ae7a5035248e4b03f03ead9273147ce5c499a9699892","observation_id":"f0dca8a8-df25-4511-8fae-992c9f431b2e","resolution":{"observed_at":"2026-08-04T13:32:07.936318Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.00123","last_updated":"2026-05-29T13:35:26Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-08T12:25:08.021167Z","submitted_at":"2025-09-30T18:04:07Z","title":"Entanglement C-functions of defects and interfaces in $\\mathcal{N}=4$ supersymmetric Yang-Mills theory"},"reference_resolution":{"displayed":99,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":99,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":99},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 99 of 99 outbound references and 2 inbound Pith citation observations for arXiv:2510.00123."}