{"as_of":"2026-08-11T16:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c5e692ea64fcc157c9f9b14fb154837cfec30042838e28bc3be6b8defd02d935","coverage":[{"denominator":55,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":55,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T00:49:50.577047Z","state":"measured"},{"denominator":55,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":55,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2412.19313/citation-record","integrity":"/paper/2412.19313/integrity","json":"/paper/2412.19313/citation-record.json","paper":"/paper/2412.19313"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"hep-th/0503149","last_updated":"2005-05-25T00:04:17Z","snapshot_observed_at":"2026-07-07T04:53:34.992809Z","submitted_at":"2005-03-19T03:29:38Z","title":"Dimer models and toric diagrams","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0503149","snapshot_observed_at":"2026-08-11T00:49:50.355249Z","title":"Hanany, K","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.355249Z"},"links":{"cited_paper":"/paper/hep-th/0503149","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:a1b14a30ee7441060c450bffafa8c536ce3b5e873dfe9f60cf8c7a05ef139003","observation_id":"19439653-936a-4fcc-9a27-a815caf2ee9f","resolution":{"observed_at":"2026-08-11T00:49:50.355249Z","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":"th/0504110","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.222025Z","title":"Franco, A","venue":null,"work_id":"9f7376f7-68ab-49cd-9aeb-2e073036c052","year":2006},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.360200Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:3aafe43236849abc68bfd5032a3933f08f9bcafc82c941f8f58e88e681ed460d","observation_id":"2a06a9dd-3d18-4d17-bbce-dca323bed551","resolution":{"observed_at":"2026-08-11T00:49:51.227618Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0505211","last_updated":"2005-12-12T19:22:03Z","snapshot_observed_at":"2026-08-10T08:25:28.606129Z","submitted_at":"2005-05-24T19:49:24Z","title":"Gauge Theories from Toric Geometry and Brane Tilings","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0505211","snapshot_observed_at":"2026-08-11T00:49:50.364178Z","title":"Franco, A","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.364178Z"},"links":{"cited_paper":"/paper/hep-th/0505211","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:9d971abcca3d420e17b27cae3422bf4ea4d1cbf3d1e7a65694f584816422d524","observation_id":"defc59cc-877b-4c60-8f35-2cc59ac6fc35","resolution":{"observed_at":"2026-08-11T00:49:50.364178Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0003085","last_updated":"2000-05-13T03:24:17Z","snapshot_observed_at":"2026-07-07T04:36:04.504918Z","submitted_at":"2000-03-13T00:28:03Z","title":"D-Brane Gauge Theories from Toric Singularities and Toric Duality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0003085","snapshot_observed_at":"2026-08-11T00:49:50.368410Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.368410Z"},"links":{"cited_paper":"/paper/hep-th/0003085","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:0784c3c45451540b6aecf4abac85b7ce8750a632f2531efec0761bb218781061","observation_id":"d1b6b728-cab9-47d8-806e-029812620495","resolution":{"observed_at":"2026-08-11T00:49:50.368410Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0511287","last_updated":"2005-11-29T02:04:57Z","snapshot_observed_at":"2026-07-07T04:55:57.635537Z","submitted_at":"2005-11-29T02:04:57Z","title":"Dimer Models from Mirror Symmetry and Quivering Amoebae","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0511287","snapshot_observed_at":"2026-08-11T00:49:50.372584Z","title":"Feng, Y .-H","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.372584Z"},"links":{"cited_paper":"/paper/hep-th/0511287","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:99e9722d4e57e9adb7bc6664d61bd41bf529d00542de4ace2f1f74a6e110cdf4","observation_id":"ca5cda46-a426-4899-b22f-9a909273fea2","resolution":{"observed_at":"2026-08-11T00:49:50.372584Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1206.2386","last_updated":"2012-06-11T21:35:28Z","snapshot_observed_at":"2026-08-03T15:05:14.400797Z","submitted_at":"2012-06-11T21:35:28Z","title":"Brane Tilings and Specular Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1206.2386","snapshot_observed_at":"2026-08-11T00:49:50.377097Z","title":"Hanany, R.-K","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.377097Z"},"links":{"cited_paper":"/paper/1206.2386","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:10d817302b2cd9ed14d6dfe6f07986eca4a507771e487f344479ca4ccc14cfa1","observation_id":"e59c46f9-9772-46a6-b402-447d5e2b42ba","resolution":{"observed_at":"2026-08-11T00:49:50.377097Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.04450","last_updated":"2021-09-10T15:12:55Z","snapshot_observed_at":"2026-07-06T05:33:29.284015Z","submitted_at":"2017-03-13T15:38:48Z","title":"Cyclic contractions of dimer algebras always exist","version":3},"cited_work":{"arxiv_id":"1703.04450","doi":null,"metadata_source":"pith","pith_arxiv_id":"1703.04450","snapshot_observed_at":"2026-08-11T00:49:51.081388Z","title":"Cyclic contractions of dimer algebras always exist","venue":"math.RA","work_id":"d61b2dda-760a-495e-bffa-b330b90002ce","year":2017},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.381939Z"},"links":{"cited_paper":"/paper/1703.04450","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:8505c10925011d339d6a2bccc2045e3d744ac2ddc752d861d51ab394ccf427d7","observation_id":"d2ddae90-6dde-4ba9-93b7-6cf015eb337f","resolution":{"observed_at":"2026-08-11T00:49:51.086050Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.01270","last_updated":"2017-11-03T18:00:01Z","snapshot_observed_at":"2026-08-03T00:32:32.658249Z","submitted_at":"2017-11-03T18:00:01Z","title":"Higher Cluster Categories and QFT Dualities","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.01270","snapshot_observed_at":"2026-08-11T00:49:50.386379Z","title":"Franco, G","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.386379Z"},"links":{"cited_paper":"/paper/1711.01270","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:c7712d0431bc46099031abcc1c3cd694b07220b3da23e1f274daa1d4f4fae880","observation_id":"dbbb7c21-69d5-4d8a-8eda-d0d6277ad7a9","resolution":{"observed_at":"2026-08-11T00:49:50.386379Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1611.09398","last_updated":"2016-11-28T21:48:02Z","snapshot_observed_at":"2026-08-01T07:39:36.883188Z","submitted_at":"2016-11-28T21:48:02Z","title":"Calabi-Yau Varieties: from Quiver Representations to Dessins d'Enfants","version":1},"cited_work":{"arxiv_id":"1611.09398","doi":null,"metadata_source":"pith","pith_arxiv_id":"1611.09398","snapshot_observed_at":"2026-08-11T00:49:51.051469Z","title":"Calabi-Yau Varieties: from Quiver Representations to Dessins d'Enfants","venue":"math.AG","work_id":"5fffa9ad-28cb-48a5-9831-ce65804c5a72","year":2016},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.390371Z"},"links":{"cited_paper":"/paper/1611.09398","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:df3a9e141ffafdf89c4b10ce08ae090c15517dc11aa94e968fd4ca11efff332d","observation_id":"1225bc0f-566a-43c1-9baf-c3e0839cfe56","resolution":{"observed_at":"2026-08-11T00:49:51.056781Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.445094Z","title":null,"venue":null,"work_id":"aa336497-ba6c-48a4-8c27-971d2cddb528","year":2007},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.394764Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:ec81ab1f24c8ede5613133ac3ad44127236a72570bc51dacd7ba50fffb9e6197","observation_id":"47a0a915-db74-48c5-8512-4ede59154fa6","resolution":{"observed_at":"2026-08-11T00:49:51.448738Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0803.4474","last_updated":"2008-04-10T13:13:36Z","snapshot_observed_at":"2026-07-06T01:36:37.358989Z","submitted_at":"2008-03-31T16:34:54Z","title":"Brane Tilings and Their Applications","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0803.4474","snapshot_observed_at":"2026-08-11T00:49:50.398541Z","title":"Yamazaki, Brane Tilings and Their Applications, Fortsch","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.398541Z"},"links":{"cited_paper":"/paper/0803.4474","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:b3644bf1a08e7174275f6d7ab2b9d3117f225466a9b9ef3f0c9264dad84f5ced","observation_id":"3feecddd-d608-4d46-abe2-463926e44764","resolution":{"observed_at":"2026-08-11T00:49:50.398541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9807080","last_updated":"1998-07-22T18:53:08Z","snapshot_observed_at":"2026-07-07T05:17:14.961280Z","submitted_at":"1998-07-10T18:47:03Z","title":"Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9807080","snapshot_observed_at":"2026-08-11T00:49:50.403064Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.403064Z"},"links":{"cited_paper":"/paper/hep-th/9807080","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:e49e0bb0d9fc9ff748b3b5f77a82a052ab3b808cee3d9639dbe650c7b6a71fad","observation_id":"3549f179-4344-4420-84ce-e77408e8450d","resolution":{"observed_at":"2026-08-11T00:49:50.403064Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0411264","last_updated":"2005-03-20T19:01:38Z","snapshot_observed_at":"2026-08-06T02:51:06.377110Z","submitted_at":"2004-11-29T19:58:44Z","title":"An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0411264","snapshot_observed_at":"2026-08-11T00:49:50.407467Z","title":"Benvenuti, S","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.407467Z"},"links":{"cited_paper":"/paper/hep-th/0411264","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:3b7e1ddcde75f25fd560a512d8d803dd84b32f249247ea1491da0cd5f50f3f62","observation_id":"6cf81b42-1e74-4375-b1a7-b51fdb755541","resolution":{"observed_at":"2026-08-11T00:49:50.407467Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0909.2868","last_updated":"2009-09-16T19:08:08Z","snapshot_observed_at":"2026-08-01T03:53:21.743473Z","submitted_at":"2009-09-16T19:08:08Z","title":"On the Classification of Brane Tilings","version":1},"cited_work":{"arxiv_id":"0909.2868","doi":null,"metadata_source":"pith","pith_arxiv_id":"0909.2868","snapshot_observed_at":"2026-08-11T00:49:50.989677Z","title":"On the Classification of Brane Tilings","venue":"hep-th","work_id":"506a1bf3-d2d5-463b-87a3-deb60d9fb2b9","year":2009},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.411503Z"},"links":{"cited_paper":"/paper/0909.2868","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:63c99463541929f4e7b75f630a8fb217c2d13aded6547336bb89283c9995f414","observation_id":"525d03af-d510-47a3-bae2-fe54ab2a5639","resolution":{"observed_at":"2026-08-11T00:49:50.993595Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1201.2614","last_updated":"2012-02-06T20:32:14Z","snapshot_observed_at":"2026-08-05T22:30:54.588896Z","submitted_at":"2012-01-12T16:52:22Z","title":"Brane Tilings and Reflexive Polygons","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1201.2614","snapshot_observed_at":"2026-08-11T00:49:50.415306Z","title":"Hanany, R.-K","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.415306Z"},"links":{"cited_paper":"/paper/1201.2614","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:05894f41854f6f67132f8b0976c06b79261ca6c8267d221bbcc8095d5473d0fe","observation_id":"3340e3ad-07b8-482e-b237-669373c9242c","resolution":{"observed_at":"2026-08-11T00:49:50.415306Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.433841Z","title":"Franco, Y .-H","venue":null,"work_id":"bde4ea1f-ee40-4644-af67-cd07c1d6e77d","year":2017},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.419408Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:8c0ab8017ee3fd0b4278e771efc08b87eaf212b21f55052d3c1a2ce072788850","observation_id":"56668828-071c-402d-bc0d-4b593c5b6718","resolution":{"observed_at":"2026-08-11T00:49:51.437564Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.422160Z","title":null,"venue":null,"work_id":"636c1219-dbec-4233-9ecb-2f5bef0dd2d6","year":2020},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.423236Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:c76bd5f0a6d19c556a667717cdb10bfc10e2a1d5b01f5ee80e34c1f353e907e4","observation_id":"4d9956ce-dac5-40b7-8827-f2cd46d2816e","resolution":{"observed_at":"2026-08-11T00:49:51.425764Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1012.2351","last_updated":"2011-03-25T10:32:25Z","snapshot_observed_at":"2026-07-06T02:20:30.771336Z","submitted_at":"2010-12-10T19:09:44Z","title":"Toric CFTs, Permutation Triples, and Belyi Pairs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1012.2351","snapshot_observed_at":"2026-08-11T00:49:50.426950Z","title":"Jejjala, S","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.426950Z"},"links":{"cited_paper":"/paper/1012.2351","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:91af981986037a3e5f7dd7a300810c89a0d89e8fd38e9797a7c2cd436a241e1d","observation_id":"17daa71e-37e0-47ee-9bf4-306e2bb89880","resolution":{"observed_at":"2026-08-11T00:49:50.426950Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1104.5490","last_updated":"2011-04-28T19:58:22Z","snapshot_observed_at":"2026-07-06T02:26:59.195372Z","submitted_at":"2011-04-28T19:58:22Z","title":"The Beta Ansatz: A Tale of Two Complex Structures","version":1},"cited_work":{"arxiv_id":"1104.5490","doi":null,"metadata_source":"pith","pith_arxiv_id":"1104.5490","snapshot_observed_at":"2026-08-11T00:49:50.951465Z","title":"The Beta Ansatz: A Tale of Two Complex Structures","venue":"hep-th","work_id":"7956c2e5-5bc1-4ff0-83f7-027c56fdd092","year":2011},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.430867Z"},"links":{"cited_paper":"/paper/1104.5490","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:93aa71b7dce91ef332c7183ad3a04cb43c9d596505d78081a5cf26d4c0871d0c","observation_id":"391f2886-4599-4523-9e76-edc0f19446b4","resolution":{"observed_at":"2026-08-11T00:49:50.955690Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1107.4101","last_updated":"2011-07-20T20:03:37Z","snapshot_observed_at":"2026-07-06T02:31:11.594124Z","submitted_at":"2011-07-20T20:03:37Z","title":"Invariants of Toric Seiberg Duality","version":1},"cited_work":{"arxiv_id":"1107.4101","doi":null,"metadata_source":"pith","pith_arxiv_id":"1107.4101","snapshot_observed_at":"2026-08-11T00:49:50.935326Z","title":"Invariants of Toric Seiberg Duality","venue":"hep-th","work_id":"9b38e9da-f5af-4c15-a87d-51ea47d2e4d1","year":2011},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.434693Z"},"links":{"cited_paper":"/paper/1107.4101","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:92e68b17380b5d9f27677217cef507019cf3f7efe59fc30edb01b7e8b65d5000","observation_id":"9996225a-bf43-4b52-a68a-26366521384e","resolution":{"observed_at":"2026-08-11T00:49:50.939555Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1204.1065","last_updated":"2012-06-05T09:40:14Z","snapshot_observed_at":"2026-08-02T17:35:49.835949Z","submitted_at":"2012-04-04T20:04:09Z","title":"Brane Geometry and Dimer Models","version":2},"cited_work":{"arxiv_id":"1204.1065","doi":null,"metadata_source":"pith","pith_arxiv_id":"1204.1065","snapshot_observed_at":"2026-08-11T00:49:50.917545Z","title":"Brane Geometry and Dimer Models","venue":"hep-th","work_id":"f123a7fc-8b42-4a6d-89a7-5917dbe03f53","year":2012},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.438508Z"},"links":{"cited_paper":"/paper/1204.1065","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:3552e063c962f87e7fabd5a65b1cc14ef971a9e7df61f4d079f7872df8da345c","observation_id":"064cdce8-dc3c-4ed5-9b3c-ae17def7eb36","resolution":{"observed_at":"2026-08-11T00:49:50.921981Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1512.09013","last_updated":"2015-12-30T17:00:17Z","snapshot_observed_at":"2026-07-06T04:41:26.340400Z","submitted_at":"2015-12-30T17:00:17Z","title":"Consistency and Derangements in Brane Tilings","version":1},"cited_work":{"arxiv_id":"1512.09013","doi":null,"metadata_source":"pith","pith_arxiv_id":"1512.09013","snapshot_observed_at":"2026-08-11T00:49:50.901236Z","title":"Consistency and Derangements in Brane Tilings","venue":"hep-th","work_id":"81b2a1e0-bc20-402a-8630-3f7fac66b17b","year":2015},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.442236Z"},"links":{"cited_paper":"/paper/1512.09013","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:ef7d813fec05ab6226d85228105971a154025daf86503b3b14a9fdd9352d2882","observation_id":"43e74cad-8437-45bf-981e-8ca2a5c926b6","resolution":{"observed_at":"2026-08-11T00:49:50.905480Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:50.446040Z","title":"He, Deep-Learning the Landscape, Phys","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.446040Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:30262bee193a124a3db9848cbfaa03f069cf777dcc455d5bcbe0ca137517ed3b","observation_id":"f3319338-bd82-46c9-b5ed-0d023711f791","resolution":{"observed_at":"2026-08-11T00:49:50.446040Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.03346","last_updated":"2017-06-11T12:21:29Z","snapshot_observed_at":"2026-08-11T14:56:51.139248Z","submitted_at":"2017-06-11T12:21:29Z","title":"Machine Learning of Calabi-Yau Volumes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.03346","snapshot_observed_at":"2026-08-11T00:49:50.450065Z","title":"Krefl, R.-K","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.450065Z"},"links":{"cited_paper":"/paper/1706.03346","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:fd4f1242d43a89582197c10c027eec1bb972e3734f6e47aebd58b894f2cf4741","observation_id":"e7bb0544-18e0-41c5-8148-b830b32e05ef","resolution":{"observed_at":"2026-08-11T00:49:50.450065Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.403812Z","title":"Aggarwal, Y .-H","venue":null,"work_id":"f1553f4f-3fe0-4644-aac5-1a04de7cdbc9","year":2024},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.454041Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:2be91c481b78c75572d33926619710949b3de56180de3e3a279034443a70ea4f","observation_id":"77d6df2f-5330-4e97-862f-d73cffd26332","resolution":{"observed_at":"2026-08-11T00:49:51.407601Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1707.00655","last_updated":"2017-07-03T17:10:55Z","snapshot_observed_at":"2026-08-03T20:01:26.067478Z","submitted_at":"2017-07-03T17:10:55Z","title":"Machine Learning in the String Landscape","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.00655","snapshot_observed_at":"2026-08-11T00:49:50.458355Z","title":"Carifio, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.458355Z"},"links":{"cited_paper":"/paper/1707.00655","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:b5c91d7aaa67c2a3984676500e7c4fb3db27f94546587d0e359b45d2bc0b4630","observation_id":"d96b68ef-3196-4aab-b010-a699b83d6959","resolution":{"observed_at":"2026-08-11T00:49:50.458355Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.07024","last_updated":"2017-08-10T13:28:37Z","snapshot_observed_at":"2026-08-11T06:47:25.487773Z","submitted_at":"2017-06-21T17:35:16Z","title":"Evolving neural networks with genetic algorithms to study the String Landscape","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.07024","snapshot_observed_at":"2026-08-11T00:49:50.462311Z","title":"Ruehle, Evolving neural networks with genetic algorithms to study the String Landscape, JHEP 08 (2017) 038","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.462311Z"},"links":{"cited_paper":"/paper/1706.07024","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:74d85b67ddc920c668b8a29795a10ff4cce8dc85cc7df79a2fe34f43a9e62a97","observation_id":"9ece8b42-2eb5-4483-b465-280c8ff92564","resolution":{"observed_at":"2026-08-11T00:49:50.462311Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.390844Z","title":"He, The Calabi–Yau Landscape: From Geometry, to Physics, to Machine Learning, Lecture Notes in Mathematics, 2021","venue":null,"work_id":"d9811152-b2f5-439d-88ca-8567b3c11e74","year":2021},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.466328Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:edd6e2164e4f60d3cc607704dfd8553dfdac4a02a476c5f76fe7e1901e509c0d","observation_id":"9403cab3-ae02-4784-85f8-7bca13215990","resolution":{"observed_at":"2026-08-11T00:49:51.395753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:50.470258Z","title":"Ruehle, Data science applications to string theory, Phys","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.470258Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:652c1db9768d2affb02350d446040e02b59f5b323ff302f61ff4931701973475","observation_id":"004c3ab2-5ec5-4ed6-933f-a4513aa31c46","resolution":{"observed_at":"2026-08-11T00:49:50.470258Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.369892Z","title":"Gukov, J","venue":null,"work_id":"97feb9ac-f1d9-4ff3-9949-25d1266c97eb","year":2024},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.474394Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:aa644c6efc25ff263ea4539016abab048d61ea249b43d2788622f7fb80f97b48","observation_id":"d3cc30bc-ee57-4924-b0df-92347aa8fbbd","resolution":{"observed_at":"2026-08-11T00:49:51.374794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.19973","last_updated":"2024-05-30T11:57:00Z","snapshot_observed_at":"2026-07-06T18:22:40.048076Z","submitted_at":"2024-05-30T11:57:00Z","title":"A Triumvirate of AI Driven Theoretical Discovery","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.19973","snapshot_observed_at":"2026-08-11T00:49:50.478916Z","title":"He, AI-driven research in pure mathematics and theoretical physics, Nature Rev","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.478916Z"},"links":{"cited_paper":"/paper/2405.19973","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:a6992094340d3fb95d69e583d6e710d5fc860cefabd52a72cea39e785acda03e","observation_id":"45d94091-1ebe-405a-b3e0-086adb80cc57","resolution":{"observed_at":"2026-08-11T00:49:50.478916Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.05218","last_updated":"2021-03-03T13:48:03Z","snapshot_observed_at":"2026-07-06T09:11:34.079144Z","submitted_at":"2020-04-10T20:17:02Z","title":"Machine-Learning Dessins d'Enfants: Explorations via Modular and Seiberg-Witten Curves","version":4},"cited_work":{"arxiv_id":"2004.05218","doi":null,"metadata_source":"pith","pith_arxiv_id":"2004.05218","snapshot_observed_at":"2026-08-11T00:49:50.844196Z","title":"Machine-Learning Dessins d'Enfants: Explorations via Modular and Seiberg-Witten Curves","venue":"hep-th","work_id":"2864dea1-a88d-4887-8e1d-5fed10353e6b","year":2020},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.483104Z"},"links":{"cited_paper":"/paper/2004.05218","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:57eb4b6fcf07c3e58b398d7526f165d7902d7c88cfd46a86d9b17000a0a4ba5d","observation_id":"7c1ba950-825b-4639-ba3b-f191df232c15","resolution":{"observed_at":"2026-08-11T00:49:50.848711Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.10783","last_updated":"2020-06-18T18:01:19Z","snapshot_observed_at":"2026-08-10T14:48:51.465871Z","submitted_at":"2020-06-18T18:01:19Z","title":"Quiver Mutations, Seiberg Duality and Machine Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.10783","snapshot_observed_at":"2026-08-11T00:49:50.487442Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.487442Z"},"links":{"cited_paper":"/paper/2006.10783","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:b20a990fd4d8039e1b114ff69060d6457e04b882d00f10d2fd0640bcd30cdaca","observation_id":"e325c265-3c09-46ac-b2c0-e3684a738aff","resolution":{"observed_at":"2026-08-11T00:49:50.487442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2106.03695","last_updated":"2022-09-16T08:43:30Z","snapshot_observed_at":"2026-07-06T11:16:46.852207Z","submitted_at":"2021-06-07T15:07:41Z","title":"Neurons on Amoebae","version":2},"cited_work":{"arxiv_id":"2106.03695","doi":null,"metadata_source":"pith","pith_arxiv_id":"2106.03695","snapshot_observed_at":"2026-08-11T00:49:50.818865Z","title":"Neurons on Amoebae","venue":"math.AG","work_id":"b6b5b0ef-08bb-4a4b-be1b-6d405307cc73","year":2021},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.491903Z"},"links":{"cited_paper":"/paper/2106.03695","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:a3fc58f3e0928dae70fd7a0ce82086c2ad40c024d3a7b90bb5425018e55c96ed","observation_id":"6fb000af-04ff-4a2b-a30b-6971ba8ccf23","resolution":{"observed_at":"2026-08-11T00:49:50.823066Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2202.05845","last_updated":"2022-09-20T09:04:25Z","snapshot_observed_at":"2026-07-06T12:36:55.701927Z","submitted_at":"2022-02-11T19:00:00Z","title":"Brain Webs for Brane Webs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.05845","snapshot_observed_at":"2026-08-11T00:49:50.495834Z","title":"Arias-Tamargo, Y .-H","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.495834Z"},"links":{"cited_paper":"/paper/2202.05845","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:b3a2f6d3359a7a8745f89235c4a4091626b84ba75928de8d0a81b06d2c3f2fbc","observation_id":"c0944234-5e8d-41e2-a6da-6ea2db84bdac","resolution":{"observed_at":"2026-08-11T00:49:50.495834Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.357067Z","title":"Chen, Y .-H","venue":null,"work_id":"a6e99ec8-7ca0-4737-869a-48a852e86c75","year":2023},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.500190Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:137ee88e5057a7a698b4a8800527e41e53c79d36b800cd08e69902fce238d185","observation_id":"45d390cd-cfef-4110-8dd0-0944e0a49073","resolution":{"observed_at":"2026-08-11T00:49:51.361294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:50.504148Z","title":"Cheung, P.-P","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.504148Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:a4582920caaebd9dd9acbe17ed045a839bf8086ceb226f0ee68a92fba2dcfbd5","observation_id":"fe25a100-dd2f-4098-ade7-26f1d06d7fdb","resolution":{"observed_at":"2026-08-11T00:49:50.504148Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13847","last_updated":"2024-02-23T11:16:10Z","snapshot_observed_at":"2026-07-06T12:52:37.848163Z","submitted_at":"2022-03-25T18:25:37Z","title":"Cluster Algebras: Network Science and Machine Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.13847","snapshot_observed_at":"2026-08-11T00:49:50.508363Z","title":"Dechant, Y .-H","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.508363Z"},"links":{"cited_paper":"/paper/2203.13847","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:c99523ec94163acee1eddbb583cf4f1224fdf5616261e6596689f894bc3675a1","observation_id":"e0e66a26-41c8-482f-970d-8871f4bc9076","resolution":{"observed_at":"2026-08-11T00:49:50.508363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.05702","last_updated":"2023-09-11T18:00:01Z","snapshot_observed_at":"2026-08-09T14:10:01.662613Z","submitted_at":"2023-09-11T18:00:01Z","title":"Unsupervised Machine Learning Techniques for Exploring Tropical Coamoeba, Brane Tilings and Seiberg Duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.05702","snapshot_observed_at":"2026-08-11T00:49:50.512337Z","title":"Seong, Unsupervised machine learning techniques for explor- ing tropical coamoeba, brane tilings and Seiberg duality, Phys","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.512337Z"},"links":{"cited_paper":"/paper/2309.05702","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:fb816f59e5a1d0c260e6c0bfaf75427cd98e47239317919f434ff4b417252c7f","observation_id":"a1cfb44f-7b0f-42a1-b7d4-eb595aceb07b","resolution":{"observed_at":"2026-08-11T00:49:50.512337Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.07467","last_updated":"2025-08-01T20:07:16Z","snapshot_observed_at":"2026-08-10T04:23:22.262923Z","submitted_at":"2024-11-12T01:09:41Z","title":"Machines and Mathematical Mutations: Using GNNs to Characterize Quiver Mutation Classes","version":3},"cited_work":{"arxiv_id":"2411.07467","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.07467","snapshot_observed_at":"2026-08-11T00:49:50.695160Z","title":"Machines and Mathematical Mutations: Using GNNs to Characterize Quiver Mutation Classes","venue":"cs.LG","work_id":"08bfa56d-aaef-40ca-b6d2-f901abd5f568","year":2024},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.516289Z"},"links":{"cited_paper":"/paper/2411.07467","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:c011eb3e6e76652c08fef3145a370f8adef481328fd92f694fdb90fc126dcc7e","observation_id":"ada94100-340d-4584-a4cc-3c32c5f0f2f3","resolution":{"observed_at":"2026-08-11T00:49:50.700443Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.04209","last_updated":"2025-09-07T02:17:28Z","snapshot_observed_at":"2026-07-06T19:46:24.121362Z","submitted_at":"2024-11-06T19:08:30Z","title":"Machine Learning Mutation-Acyclicity of Quivers","version":2},"cited_work":{"arxiv_id":"2411.04209","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.04209","snapshot_observed_at":"2026-08-11T00:49:50.676763Z","title":"Machine Learning Mutation-Acyclicity of Quivers","venue":"math.CO","work_id":"a67aea6c-ad1d-49c7-b5b8-18fb26c9646a","year":2024},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.520188Z"},"links":{"cited_paper":"/paper/2411.04209","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:02a9c5feef31d2c6d9640cedb756d47cdead783980c9744378fe9fc24f965c87","observation_id":"cf2de89b-9ae2-41b7-8e21-9bc4b8b7c970","resolution":{"observed_at":"2026-08-11T00:49:50.681938Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.16033","last_updated":"2025-04-15T14:26:43Z","snapshot_observed_at":"2026-08-09T07:15:01.413445Z","submitted_at":"2024-11-25T01:42:12Z","title":"Generative AI for Brane Configurations and Coamoeba","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.16033","snapshot_observed_at":"2026-08-11T00:49:50.524207Z","title":"Seong, Generative AI for Brane Configurations, Tropical Coamoeba and 4d N =1 Quiver Gauge Theories (11 2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.524207Z"},"links":{"cited_paper":"/paper/2411.16033","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:6dff25d91b5457c4082fe758a16b54ef71c0f8552f519129b2a08286c933dccc","observation_id":"529feb89-c1ba-436c-ba5c-c339d601ccee","resolution":{"observed_at":"2026-08-11T00:49:50.524207Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.09993","last_updated":"2024-05-16T11:26:20Z","snapshot_observed_at":"2026-07-06T18:15:11.806744Z","submitted_at":"2024-05-16T11:26:20Z","title":"Learning BPS Spectra and the Gap Conjecture","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.09993","snapshot_observed_at":"2026-08-11T00:49:50.528342Z","title":"Gukov, R.-K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.528342Z"},"links":{"cited_paper":"/paper/2405.09993","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:5c5b027172266d2899dbab65ff88e166c07fb9dda01c9a462613fba2bb71e3a9","observation_id":"f3eaa3d1-14aa-4859-99c5-d85e3dd1dd0f","resolution":{"observed_at":"2026-08-11T00:49:50.528342Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0304128","last_updated":"2003-07-23T21:00:13Z","snapshot_observed_at":"2026-07-07T04:46:49.004180Z","submitted_at":"2003-04-15T02:16:13Z","title":"The Exact Superconformal R-Symmetry Maximizes a","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0304128","snapshot_observed_at":"2026-08-11T00:49:50.532148Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.532148Z"},"links":{"cited_paper":"/paper/hep-th/0304128","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:aa78d1775913aa080753d1b14f8b3b2ad78360a8a7f9d5d85038f59d3358115f","observation_id":"38fc89da-293a-4b32-a79f-3e6eaa114f03","resolution":{"observed_at":"2026-08-11T00:49:50.532148Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.346020Z","title":"Bianchi, M","venue":null,"work_id":"8f118cd2-9745-467b-aaea-193119fbd9f6","year":2008},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.536476Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:b765bb3237053724de149579c231ef405ba7c40a7107d1b525469a12c237ee5f","observation_id":"eb84fdd9-10a7-4d37-8ced-e803a1dcc381","resolution":{"observed_at":"2026-08-11T00:49:51.350028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.333489Z","title":"Kirkpatrick, C","venue":null,"work_id":"a6df34de-d0c3-49af-8446-1bd7c2119e8f","year":1983},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.540761Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:a8f39d89c12705a28d5d262c82e7e538246ad4c0aaaa5bc2990efb72cdd9c253","observation_id":"d2d9890d-0a1f-4208-beb5-7d95a8131efc","resolution":{"observed_at":"2026-08-11T00:49:51.338103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.320204Z","title":"Metropolis, A","venue":null,"work_id":"1215294c-45a3-4943-a2e1-0edce26e9e89","year":1953},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.544563Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:e3da08e8f6787fae5f56888e6fae2ed2df9165dd8f1b49b368ee557df79a7370","observation_id":"30692228-b841-4dd9-a3e3-d1e9a7399e87","resolution":{"observed_at":"2026-08-11T00:49:51.324294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.307195Z","title":null,"venue":null,"work_id":"62d2f1a7-7600-4b4c-962e-8ac2caebd010","year":2020},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.548482Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:78bfd12a1c26f03990b99d0bdd88cfea62d2a93a8e64c00fbb69955b85709610","observation_id":"aa165d23-53c8-4699-bf94-ad194d4859d8","resolution":{"observed_at":"2026-08-11T00:49:51.311567Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevlett.95.071101","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:50.605813Z","title":"Cveti ˇc, H","venue":null,"work_id":"3dbe35be-7f31-454d-a233-79e62bb6f257","year":2005},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.552450Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:6c1bf41b214fd5d2bc97cdc1e23c82d315f487a5c94f2e4adbae9b7492a5a45d","observation_id":"b3c6b793-8973-4194-867d-aa512cb13a83","resolution":{"observed_at":"2026-08-11T00:49:50.611610Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0608050","last_updated":"2006-08-21T09:44:00Z","snapshot_observed_at":"2026-07-07T04:58:15.637969Z","submitted_at":"2006-08-07T20:01:51Z","title":"Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0608050","snapshot_observed_at":"2026-08-11T00:49:50.556747Z","title":"Benvenuti, B","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.556747Z"},"links":{"cited_paper":"/paper/hep-th/0608050","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:fad57357fee38b4c549ca45614cd96416bcf7d2988a0558d2bb67d85318e503c","observation_id":"6ae19f5b-7a9b-489d-9056-bebe9ddd9996","resolution":{"observed_at":"2026-08-11T00:49:50.556747Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.03462","last_updated":"2017-04-11T18:00:02Z","snapshot_observed_at":"2026-08-06T02:51:41.859327Z","submitted_at":"2017-04-11T18:00:02Z","title":"Calabi-Yau Volumes and Reflexive Polytopes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.03462","snapshot_observed_at":"2026-08-11T00:49:50.560745Z","title":"He, R.-K","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.560745Z"},"links":{"cited_paper":"/paper/1704.03462","citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:8a9a34110806137f974ff31ea4df2c1dd5d3f7c56ec28ce2e9f0a909b0a8adba","observation_id":"5b0875c6-0b95-4a61-b66f-623bd3c977cf","resolution":{"observed_at":"2026-08-11T00:49:50.560745Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.294132Z","title":"Note that CσB = CσW = 2, and that there are no one-cycles or two-cycles, so that PT-3 Eq","venue":null,"work_id":"87cffb1a-a8cb-4a4c-b428-230166fb3680","year":null},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.565001Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:0cf4d24ebc2907e594ba471aa7b9f4e73dce7096de3546435373cc11c758c3ad","observation_id":"63f9a444-df23-4f72-8225-4561d2967908","resolution":{"observed_at":"2026-08-11T00:49:51.298663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.278788Z","title":null,"venue":null,"work_id":"186c9291-7382-4df0-bab7-e9b8db6b1a7f","year":null},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.568939Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:842be47e620a87f6c83738bbbf3996d4f5b431b2ac86caa936fe4d5c6839719d","observation_id":"f9cf624d-b76b-4be7-8e9e-09b96aeb7153","resolution":{"observed_at":"2026-08-11T00:49:51.285233Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.264528Z","title":null,"venue":null,"work_id":"f81b73b5-e8c9-435b-a1f1-140f96d596cc","year":null},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.573232Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:8b4fc0a391445bc7723385de7bdb06a2fea85dddea7a12eca6a3e6fed7fc86bb","observation_id":"52536cec-b56a-47db-865e-c80b6ec71da5","resolution":{"observed_at":"2026-08-11T00:49:51.269623Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:49:51.251602Z","title":null,"venue":null,"work_id":"cc6aa291-036d-4a92-b16d-eb830b97ba1f","year":null},"citing_paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T00:49:50.577047Z"},"links":{"citing_paper":"/paper/2412.19313"},"observation_digest":"sha256:2ff7ca53008526afdd1435ad32b4149ece30f8dece9f78c2c2b369a3842cfaec","observation_id":"d70898e0-ce00-4430-b2b5-3a274f40912e","resolution":{"observed_at":"2026-08-11T00:49:51.255841Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.19313","last_updated":"2025-03-01T15:15:08Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-11T11:46:16.587789Z","submitted_at":"2024-12-26T18:25:40Z","title":"Metaheuristic Generation of Brane Tilings"},"reference_resolution":{"displayed":55,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":13,"verified_fuzzy":9},"total_outbound_references":55},"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 11 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2412.19313."}