{"as_of":"2026-08-07T10:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a1a6ef11ada512af4d412bfe8798fb69b8d9cea1424c487db37ca00107262bae","coverage":[{"denominator":97,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":97,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T12:12:38.139800Z","state":"measured"},{"denominator":99,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":99,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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":"2026-08-03T19:50:48.210381Z","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":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.22116","snapshot_observed_at":"2026-08-03T19:50:48.210381Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.22706","last_updated":"2026-07-15T17:34:36Z","snapshot_observed_at":"2026-08-03T19:50:47.249038Z","submitted_at":"2025-11-27T18:59:34Z","title":"Nonlinear Odd Viscoelastic Effect","version":2},"reference_index":112,"source":"pdf_text","source_observed_at":"2026-08-03T19:50:48.210381Z"},"links":{"cited_paper":"/paper/2507.22116","citing_paper":"/paper/2511.22706"},"observation_digest":"sha256:6bc422c8839d953af2c258d08bcd47dcb446dc574a6c6ba8777595bdd8065c43","observation_id":"61f2526f-f2b4-4d67-aa31-baf2c6608187","resolution":{"observed_at":"2026-08-03T19:50:48.210381Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.22116","snapshot_observed_at":"2026-08-03T14:40:16.817305Z","title":"Probing tensor monopoles and gerbe invariants in three-dimensional topologi- cal matter,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.19690","last_updated":"2026-06-26T17:13:37Z","snapshot_observed_at":"2026-08-06T15:59:07.951379Z","submitted_at":"2025-12-22T18:59:24Z","title":"Orbital magnetization reveals multiband topology","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T14:40:16.817305Z"},"links":{"cited_paper":"/paper/2507.22116","citing_paper":"/paper/2512.19690"},"observation_digest":"sha256:fd3eb78a73ff947cfcf5e28bd0caa1e41cdf105ed09c5d919603f4ba87350b06","observation_id":"363ed344-430e-423d-b402-aea8becdd799","resolution":{"observed_at":"2026-08-03T14:40:16.817305Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.22116/citation-record","integrity":"/paper/2507.22116/integrity","json":"/paper/2507.22116/citation-record.json","paper":"/paper/2507.22116"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T12:12:37.705545Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.705545Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:555fba77733e09fba3240951b48c8253abef3067f189d4b34b7b6ebd63fb5968","observation_id":"f4b04580-9ac4-470b-9e58-da6ff7a9fc30","resolution":{"observed_at":"2026-08-06T12:12:37.705545Z","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":"2026-08-06T12:12:37.709875Z","title":"Magnetic monopoles,","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.709875Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:5340e9ea4ac8f7cb3eec6132d835aa0eab1c3197db644b793b2e4f134d2f96d8","observation_id":"10a05d64-61c9-4a99-9245-c9490bb4ef5f","resolution":{"observed_at":"2026-08-06T12:12:37.709875Z","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":"2026-08-06T12:12:37.714252Z","title":"Quantized Hall conductance in a two-dimensional peri- odic potential,","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.714252Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:b8d9a61a9941f9383f47eb6dd1f06c03bf6d7679bb885f55c1f40eeb98e134b9","observation_id":"0759884c-4959-4907-af29-7ad8c7c15912","resolution":{"observed_at":"2026-08-06T12:12:37.714252Z","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":"2026-08-06T12:12:37.719058Z","title":"Model for a quantum Hall effect with- out Landau levels: Condensed-matter realization of the","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.719058Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:9fbe00be02d2626c043b8581e8f5a73e501e66262305bd53c404fdbf4f4ee1cb","observation_id":"e39db412-5e10-4d28-ba2c-1c5d440fc70e","resolution":{"observed_at":"2026-08-06T12:12:37.719058Z","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":"2026-08-06T12:12:37.723789Z","title":"Generalization of Dirac’s monopole to SU(2) gauge fields,","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.723789Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:a2a5819fac2f4aeb8ff2c5791daf445a7f23ed2ea14f1e410cc3a600feffec55","observation_id":"263e4cfb-0271-4527-a57c-e13929ac8603","resolution":{"observed_at":"2026-08-06T12:12:37.723789Z","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":"2026-08-06T12:12:37.728188Z","title":"Magnetic monopoles in unified theories,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.728188Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:707b767aaaa9e1b787f9bc7c5abb0d27b3c0baa308ab20e654afa007a9debf46","observation_id":"ab465372-5755-4b92-aa92-cf235415d6c9","resolution":{"observed_at":"2026-08-06T12:12:37.728188Z","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":"2026-08-06T12:12:37.732987Z","title":"Particle spectrum in quantum field theory,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.732987Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:b341e2d6c5479a4c35b1fc72ff67476be2b741fb795e6da159be0273f17c35b8","observation_id":"c36c5cd1-6bcc-44cf-8e08-b27f75812079","resolution":{"observed_at":"2026-08-06T12:12:37.732987Z","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":"2026-08-06T12:12:37.736917Z","title":"Classical direct interstring ac- tion,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.736917Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:3162efd1badefafafd4d15cc7af6e1339dd6af444307b525784a7bed3d920e12","observation_id":"3801f4ec-0e45-4f10-b186-61797e1edd49","resolution":{"observed_at":"2026-08-06T12:12:37.736917Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0908.0333","last_updated":"2012-02-23T15:50:49Z","snapshot_observed_at":"2026-08-03T22:27:16.503007Z","submitted_at":"2009-08-03T20:14:37Z","title":"Lectures on String Theory","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0908.0333","snapshot_observed_at":"2026-08-06T12:12:37.741282Z","title":"Lectures on String Theory,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.741282Z"},"links":{"cited_paper":"/paper/0908.0333","citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:8a09297ba64cac26d88ed0135fca3af13feeeb117625dfc97c04ba1f423f61d1","observation_id":"a121683c-990e-43a7-8041-73857521f5a9","resolution":{"observed_at":"2026-08-06T12:12:37.741282Z","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":"2026-08-06T12:12:37.746105Z","title":"Fracton-elasticity dual- ity,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.746105Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:72ad8bbfa917462b6b3cbaa786f5f03adcf3557cde4f9269d518bb1c49d99f82","observation_id":"cea44cb9-74b5-499f-a135-e8ec08ac6a3e","resolution":{"observed_at":"2026-08-06T12:12:37.746105Z","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":"2026-08-06T12:12:37.750594Z","title":"Dual gauge field theory of quantum liquid crystals in two dimensions,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.750594Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:71bbfcec0a58ffc51cfe2793b79bc7b23b5d2cfa29c51607c0aa086b745ac4cc","observation_id":"584da6b1-b12e-4ba1-8fc9-a7a7e9710166","resolution":{"observed_at":"2026-08-06T12:12:37.750594Z","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":"2026-08-06T12:12:37.754529Z","title":"Massless fields with integer spin,","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.754529Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:efc9873c0041f98aafbd508f4dd67755a3b8bf6f418664bef75124f4ee9aa453","observation_id":"c73378f9-df84-4c95-a9c1-561b97b1a1d3","resolution":{"observed_at":"2026-08-06T12:12:37.754529Z","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":"2026-08-06T12:12:37.758603Z","title":"Massive higher-spin fields in the fractional quan- tum Hall effect,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.758603Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:60c586fac8c16475d80219408bd95a19eac944f7faa32693baf2dd5dd1db5ade","observation_id":"09bc04d1-398a-4ea8-837a-e1c2753269d8","resolution":{"observed_at":"2026-08-06T12:12:37.758603Z","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":"2026-08-06T12:12:37.762557Z","title":"Magnetic monopoles from antisymmet- ric tensor gauge fields,","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.762557Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:3bbfefa5fe6724d06661665c7b75cd446a138595ef968e0ecb95c5b0154591ca","observation_id":"c386e136-34ca-4c4d-b6ca-3ab944dc0b84","resolution":{"observed_at":"2026-08-06T12:12:37.762557Z","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":"2026-08-06T12:12:37.766533Z","title":"Instantons and disorder in antisymmetric tensor gauge fields,","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.766533Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:6a474bdb2b667bb2507d6892b2dc39505e34f5b947de9320cdec5ccceacd2fee","observation_id":"6d45a9b4-bdac-4a50-85ea-d3592a40cc95","resolution":{"observed_at":"2026-08-06T12:12:37.766533Z","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":"2026-08-06T12:12:37.770421Z","title":"Experimental ob- servation of tensor monopoles with a superconducting qudit,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.770421Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:b75d2bd8cf1846f2454bf847e87e2312b17ec23834cacac602c9bf08dd19b457","observation_id":"b9c2db5a-2f6b-4c9f-8cd4-148e7f4d2909","resolution":{"observed_at":"2026-08-06T12:12:37.770421Z","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":"2026-08-06T12:12:37.774082Z","title":"A synthetic monopole source of Kalb-Ramond field in diamond,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.774082Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:5ea081769db82109de3650537449e660d631a42d205b9a450670f7496973d67e","observation_id":"ca2dc4f6-042f-4a9d-806b-01d6054f9d31","resolution":{"observed_at":"2026-08-06T12:12:37.774082Z","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":"2026-08-06T12:12:37.778169Z","title":"Tensor-monopole-induced topological boundary ef- fects in four-dimensional acoustic metamaterials,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.778169Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:52fc57b15433136e5ebc585729cfda3afd294ae6f45ad6e289df71805458193c","observation_id":"84b7923f-ac61-487d-8ab8-83266630e8b6","resolution":{"observed_at":"2026-08-06T12:12:37.778169Z","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":"2026-08-06T12:12:39.580761Z","title":"p-form electrody- namics,","venue":null,"work_id":"eea618ee-b5c9-48a7-8278-0e017a1d3fdf","year":1986},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.782086Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:f65bc2b5141d41444c312fa786381893d640d41f02e77b138ecec56b89d11803","observation_id":"ff408d1d-d630-4d7f-bdf8-5db4a84b4b1c","resolution":{"observed_at":"2026-08-06T12:12:39.585583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.566474Z","title":"Topological BF theories in 3 and 4 di- mensions,","venue":null,"work_id":"4fb6fc3c-8d27-4aff-bce5-27ea6f0cc80f","year":1995},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.785673Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:e6020407567e5814e5930b6b1953e00b1cf252f6bef142b2b58640ba87d8a1fd","observation_id":"de0752f5-ced5-4f8c-bf5b-9c04cee35695","resolution":{"observed_at":"2026-08-06T12:12:39.571194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.551923Z","title":"Su- perconductors are topologically ordered,","venue":null,"work_id":"d2aeebb0-790d-4977-9d73-532f588bbacf","year":2004},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.789344Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:544f7d468cc328693123c2779ef644f369e3c134db12dc5ac0c434e74c6b49dc","observation_id":"b4a66e80-eee6-4262-8f04-5d1e649bad1a","resolution":{"observed_at":"2026-08-06T12:12:39.556894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.538092Z","title":"Topological phases for extended ob- jects: Semiclassical phase-space approach with tensorial coor- dinates,","venue":null,"work_id":"a172379f-9d84-4a2e-bf2e-0523a406cd45","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.794100Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:a23e402cc6aed3c5df575bec518c9c90caf80e4189fcd3dda404a108637f56e4","observation_id":"10cc4e47-b404-4072-9861-ea6da124e8ea","resolution":{"observed_at":"2026-08-06T12:12:39.542670Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.524015Z","title":"Dual models and the geom- etry of space-time,","venue":null,"work_id":"571c50ea-6c81-4419-9436-9136126bbf49","year":1974},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.797782Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:447317d3436106800c5684db8a3c986514e8c9ba6701935fd8b82a5c1e973dd3","observation_id":"78a99807-4cac-48c8-848b-e9a4760df79a","resolution":{"observed_at":"2026-08-06T12:12:39.528648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.508265Z","title":"Bundle gerbes,","venue":null,"work_id":"afa2254c-c1a9-454b-94ae-6b77050f9f05","year":1996},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.801318Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:656eebe346a9c10e37a4307eb90df5df9e0e551540c4d94a6484c09c59e8b043","observation_id":"a2c97557-22e9-46af-8fd0-fbbffae1f868","resolution":{"observed_at":"2026-08-06T12:12:39.513024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.493650Z","title":"Bundle gerbes applied to quantum field theory,","venue":null,"work_id":"1e7c0a41-6ad6-4aa6-bd9a-47e9d94b1f66","year":2000},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.804885Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:db24bbdbb4b69fabf82d8f02f9e532df46aba55dff2e3d7e0da03071b5a47984","observation_id":"648c69fd-1d42-4fe6-be41-d883bc1c4e00","resolution":{"observed_at":"2026-08-06T12:12:39.498418Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.479686Z","title":"Revealing ten- sor monopoles through quantum-metric measurements,","venue":null,"work_id":"c86c9ac3-19d9-4538-b91a-dccd28d07300","year":2018},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.808515Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:6def6ae7741ecd7163b9d6f382347bad2428a836da826381b36ab5ac4e3f5045","observation_id":"07304f0c-58be-428c-9f16-729f302ff27a","resolution":{"observed_at":"2026-08-06T12:12:39.484327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.465496Z","title":"Tensor Berry connections and their topological invariants,","venue":null,"work_id":"8637f072-efcf-45b5-a783-503eecd2ac01","year":2019},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.812391Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:553053ea45a7de82f235df91a6b2dd0f6df5ad90c9e90dc6739171686153f160","observation_id":"fbdb2c9a-934a-4bef-a074-917727f52c9a","resolution":{"observed_at":"2026-08-06T12:12:39.470024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.451360Z","title":"Four-dimensional semimetals with tensor monopoles: From surface states to topological responses,","venue":null,"work_id":"613d227c-8f90-4dc1-b61e-a3a60f6cc6c4","year":2020},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.816197Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:ae1b1fd92d139edde00dd49ad9bc3fbb726fab311c9e95b7061da18544d5f726","observation_id":"f83ed530-9261-48a3-a041-d186a3734b8c","resolution":{"observed_at":"2026-08-06T12:12:39.455865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.437121Z","title":"Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric,","venue":null,"work_id":"af40960c-aab2-45cc-ae3c-7664ad3ce77a","year":2021},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.820021Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:cc066a789bde9a4b30ab69a49923081642ae432786c74453b32269bcb1421a3b","observation_id":"24f47497-fbba-410d-835e-cb729302f017","resolution":{"observed_at":"2026-08-06T12:12:39.441866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.422836Z","title":"Non-Abelian tensor Berry connec- tions in multiband topological systems,","venue":null,"work_id":"d9ac416a-4ee4-406b-bcd9-cedf0afece3a","year":2021},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.824114Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:d62c6acf7a3fe13bacb5c9554839700d655680c3c4fa5fee30cdfdd5b3efa556","observation_id":"573f668b-0db6-4b9a-aeb8-f8634ea0610d","resolution":{"observed_at":"2026-08-06T12:12:39.428108Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.408404Z","title":"Higher structures in matrix product states,","venue":null,"work_id":"14f91da1-5107-48af-90d2-abd482289343","year":2024},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.827784Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:8d26257b1d09bb5534aa627125d6a2a43489caf8c55b8c38be6bfe06dacf46fe","observation_id":"31d5d1d8-db52-411f-9d81-91020246b98c","resolution":{"observed_at":"2026-08-06T12:12:39.413530Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.08109","last_updated":"2023-10-29T13:33:15Z","snapshot_observed_at":"2026-07-06T15:26:58.583640Z","submitted_at":"2023-05-14T09:07:19Z","title":"Higher Berry curvature from matrix product states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.08109","snapshot_observed_at":"2026-08-06T12:12:37.832242Z","title":"Higher Berry curvature from matrix product states,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.832242Z"},"links":{"cited_paper":"/paper/2305.08109","citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:ae6510f8e94b25ffda5139da1525cf4f302483dd25a5b96320d4c553ed24b059","observation_id":"fc72aa20-9643-4ee6-bb53-dcbf75520dc8","resolution":{"observed_at":"2026-08-06T12:12:37.832242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.05325","last_updated":"2024-05-08T18:00:20Z","snapshot_observed_at":"2026-07-06T18:11:43.528130Z","submitted_at":"2024-05-08T18:00:20Z","title":"Higher Berry Phase from Projected Entangled Pair States in (2+1) dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.05325","snapshot_observed_at":"2026-08-06T12:12:37.836971Z","title":"Higher Berry phase from projected entangled pair states in (2+1) dimensions,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.836971Z"},"links":{"cited_paper":"/paper/2405.05325","citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:ea7020452628384354243c63457e10fd3e135ed08cd93b53cd58502084887e6d","observation_id":"d8d7ec9e-69d5-43a4-a038-bed3a853d907","resolution":{"observed_at":"2026-08-06T12:12:37.836971Z","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":"2026-08-06T12:12:39.394151Z","title":"Higher Berry connection for matrix product states,","venue":null,"work_id":"209f73a6-32e5-4141-a125-d286b6d63eef","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.841491Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:0aa00605efe01942de42c2a6c61baf72897a9b1b3b7c15b8347ee4151a53ef80","observation_id":"d88c3a9e-578c-431a-b73a-ef74bc2b3b68","resolution":{"observed_at":"2026-08-06T12:12:39.398681Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.380260Z","title":"Higher Berry curvature from the wave function. i. schmidt de- composition and matrix product states,","venue":null,"work_id":"bfad05fe-6774-4625-9cce-c725de17586c","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.845590Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:80adc2bdee28bcee5ed9977dd6c62303a07b831f18856f36ad16e0f2599f9e43","observation_id":"3fe9edc8-4775-42e7-8c57-a4eb70e39387","resolution":{"observed_at":"2026-08-06T12:12:39.384890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:37.849741Z","title":"Charting the space of ground states with tensor networks,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.849741Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:756a3c076ed2067ccd41e79f6a7fec6229e12c4007eb17c69a3ab0296153bb36","observation_id":"9f1f9429-ff9a-42ab-8c4d-b22719bf27e3","resolution":{"observed_at":"2026-08-06T12:12:37.849741Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0312175","last_updated":"2003-12-09T00:05:55Z","snapshot_observed_at":"2026-08-06T11:15:21.196861Z","submitted_at":"2003-12-09T00:05:55Z","title":"Constructions with bundle gerbes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0312175","snapshot_observed_at":"2026-08-06T12:12:37.853873Z","title":"Constructions with bundle gerbes,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.853873Z"},"links":{"cited_paper":"/paper/math/0312175","citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:57aff271092df9595bcfb3af5107f28094cf8180bd9ace99fbeeead0acf52d2e","observation_id":"153c8a9f-46ec-4d83-9f54-3eb7348ce1f7","resolution":{"observed_at":"2026-08-06T12:12:37.853873Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1209.2530","last_updated":"2012-10-01T16:43:36Z","snapshot_observed_at":"2026-07-06T02:55:26.142670Z","submitted_at":"2012-09-12T09:15:48Z","title":"Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology","version":2},"cited_work":{"arxiv_id":"1209.2530","doi":null,"metadata_source":"pith","pith_arxiv_id":"1209.2530","snapshot_observed_at":"2026-08-06T12:12:38.244098Z","title":"Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology","venue":"hep-th","work_id":"614d6b21-8e39-4cf4-97cd-e7012e928a34","year":2012},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.859171Z"},"links":{"cited_paper":"/paper/1209.2530","citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:c83d6abadeb59583693a88af08686a52afe35667d309f81a9e5603a577c57267","observation_id":"c1464efb-c99e-4d08-b6c9-a1ef1bdacf51","resolution":{"observed_at":"2026-08-06T12:12:38.249877Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.365771Z","title":"Delicate topology protected by rotation sym- metry: Crystalline Hopf insulators and beyond,","venue":null,"work_id":"e9dccb09-f567-4f3e-b7e1-855d66f6399e","year":2022},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.863572Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:fe9cece982ba728341ff373357f0574f5b318988d19ca094295e4a6e4e428b62","observation_id":"1351b386-6e5e-4b3f-b375-eb1596600ce2","resolution":{"observed_at":"2026-08-06T12:12:39.370680Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.351165Z","title":"Topological surface states in three-dimensional magnetic insulators,","venue":null,"work_id":"5cbcf40d-86b2-4e22-a0d8-17767c599ae9","year":2008},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.867727Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:0952ace1fd311486e08a4ebc6eea5ea5a8276e77752763fb4c583f3a57eb57f7","observation_id":"56067f3e-3b78-4758-a590-46c1959f7c9c","resolution":{"observed_at":"2026-08-06T12:12:39.356373Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.336614Z","title":"Topological Hopf-Chern insulators and the Hopf superconductor,","venue":null,"work_id":"72654b82-a611-40cf-8d5c-65c0c7309d07","year":2016},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.872076Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:c1aac6c961b713b17883277ea05ad58263381f2881154497b42038a4d2284a41","observation_id":"4ecc48ca-1896-4315-bf9c-3fa0641e2c77","resolution":{"observed_at":"2026-08-06T12:12:39.342001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.322384Z","title":"Floquet Hopf insulators,","venue":null,"work_id":"b3c801de-d50d-4761-838f-8afccb87e9a8","year":2019},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.876905Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:5ef23643354fcf41aaedfcc83ea4548d1d1d386d9ffd7d058462a8460e4437cb","observation_id":"34540811-26e3-4954-953a-ebc984cf31f0","resolution":{"observed_at":"2026-08-06T12:12:39.326965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.307555Z","title":"Hopf characterization of two-dimensional Floquet topological insu- lators,","venue":null,"work_id":"ad38464b-0157-4396-9470-1b30cc9151e7","year":2019},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.882008Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:e470174e3aad40a2635ff065d464397449f661c9280d43de2f97769e0bdc1c05","observation_id":"cdfe9f76-35f0-477b-b78b-002e7619c271","resolution":{"observed_at":"2026-08-06T12:12:39.312379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.290321Z","title":"Real Hopf insulator,","venue":null,"work_id":"84354ac2-8bd3-4df0-a228-0314bc46bb90","year":2023},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.886989Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:8e358b34172b701229daba974e1ee368fd4f12c9a18320cd7bfac657314b1064","observation_id":"df4070a0-07e5-4042-8eb3-b1c1a63e0c91","resolution":{"observed_at":"2026-08-06T12:12:39.295780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.271995Z","title":"Non- Abelian Hopf-Euler insulators,","venue":null,"work_id":"d7051f33-6377-4b7c-ab87-6857a1fefd4e","year":2024},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.891740Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:567a30d61b4019613faa0e111bc2ffc98b14b8198798e53e79ef0bb32aec1353","observation_id":"7616b49b-9007-4c4b-b6c1-fc8d942428c4","resolution":{"observed_at":"2026-08-06T12:12:39.278885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.254643Z","title":"Topolog- ical Euler class as a dynamical observable in optical lattices,","venue":null,"work_id":"40a26157-abb6-4100-b8dc-2ea933c552a4","year":2020},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.896773Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:d68b3e69d73a252f05b62d930cef14ae8092a3cabaf99d32fb38810531a78976","observation_id":"7e038c98-2f88-4973-a45e-ed1a3e303029","resolution":{"observed_at":"2026-08-06T12:12:39.260923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.236771Z","title":"Periodic table for topological insulators and su- perconductors,","venue":null,"work_id":"9a7f8b5f-1c02-4538-8f97-caf847721cd9","year":2009},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.901344Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:22c61e9c26556489228cbbfb877283d22edd3b659dd626e8a8d721e0b02c5bd1","observation_id":"ccf24588-165a-434a-9b00-c8e763abbf04","resolution":{"observed_at":"2026-08-06T12:12:39.243409Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.219630Z","title":"Twisted equivariant matter,","venue":null,"work_id":"a460ba1c-037d-47e8-be32-466c2294a95f","year":2013},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.906818Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:fec18be143be62a8578e974b35a8b0e519c47f68331332fc68c3abe69da6c4bd","observation_id":"8b5c368e-e720-468b-8386-7bbc99f49119","resolution":{"observed_at":"2026-08-06T12:12:39.225619Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.202747Z","title":"Topological classification of crystalline insulators through band structure combinatorics,","venue":null,"work_id":"5f6862f5-f74c-4339-844a-655c2b015dd2","year":2017},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.911181Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:ded079385f1d0c5fbeee0ff60196a5bd24239880fb59b04a8a4da6822bbc06e8","observation_id":"2e2245cd-c8f5-4830-9cca-3333b631a9d0","resolution":{"observed_at":"2026-08-06T12:12:39.208686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.183748Z","title":"Ge- ometric approach to fragile topology beyond symmetry indica- tors,","venue":null,"work_id":"6e35a2e5-bd00-41aa-91e1-f234bb4d1f09","year":2020},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.915758Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:78556115b3d0c1d237d848623d9f95b59201b063094d1af1707e1c7a94e34aee","observation_id":"097c8291-923e-4294-b429-c6d70ee22d1e","resolution":{"observed_at":"2026-08-06T12:12:39.191269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.167000Z","title":"Quantized Hall conductance as a topological invariant,","venue":null,"work_id":"4c01527a-24fc-4c00-9974-394386228048","year":1985},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.921319Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:e09184e4e22630cf692fc0ff75d4cd35d3d29759282a6e16a1ec244ccff91967","observation_id":"a6cc8935-0bec-4c06-a123-7246db729adf","resolution":{"observed_at":"2026-08-06T12:12:39.172971Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.150067Z","title":"Tensor Monopoles in superconducting systems,","venue":null,"work_id":"84fbf828-f720-453e-9f89-a4e1264d64e5","year":2021},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.925948Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:4dc590c2834178d8826fced060a849fa567efee938eaf8002afc7b408d73e0a6","observation_id":"b7590242-5d54-4403-986b-e0e6eb98c11d","resolution":{"observed_at":"2026-08-06T12:12:39.155686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.133654Z","title":"PT -symmetric real Dirac fermions and semimetals,","venue":null,"work_id":"f7fa9a11-7737-47a6-96c1-4a1875e9c137","year":2017},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.930921Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:1672248a86d689d4d4005abd30f41f08be3d0a728760ea4c4d0c00b0cfeca81e","observation_id":"6ee8d884-27ec-419c-9689-2d3b54cfbc99","resolution":{"observed_at":"2026-08-06T12:12:39.139301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.08543","last_updated":"2025-06-13T04:26:29Z","snapshot_observed_at":"2026-07-06T18:29:53.755897Z","submitted_at":"2024-06-12T18:00:00Z","title":"Extra-Dimensional Axion Expectations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.08543","snapshot_observed_at":"2026-08-06T12:12:37.935173Z","title":"Extra-dimensional axion expectations,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.935173Z"},"links":{"cited_paper":"/paper/2406.08543","citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:47fd46de387d430e0f76ed2f7b58623c8b39f5a6a6608bdfe2459f1292afb2f4","observation_id":"0b0ed8a6-aee4-4f40-994b-3eda04e9c01b","resolution":{"observed_at":"2026-08-06T12:12:37.935173Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.16919","last_updated":"2025-04-23T17:45:36Z","snapshot_observed_at":"2026-07-06T21:13:45.700548Z","submitted_at":"2025-04-23T17:45:36Z","title":"Boundary Witten effect in multi-axion insulators","version":1},"cited_work":{"arxiv_id":"2504.16919","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.16919","snapshot_observed_at":"2026-08-06T12:12:38.204112Z","title":"Boundary Witten effect in multi-axion insulators","venue":"cond-mat.mes-hall","work_id":"8dff1675-534c-4ac4-bcca-4de35606606c","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.940848Z"},"links":{"cited_paper":"/paper/2504.16919","citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:f357bde10dd128a93247d2f3728f260feeee8c351317f29d0dce7b03b5175532","observation_id":"b89ea1c7-5a52-4fd2-9086-f5919b447f7b","resolution":{"observed_at":"2026-08-06T12:12:38.211724Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:37.945389Z","title":"Topological field theory of time-reversal invariant insulators,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.945389Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:89fb6c0cd9160554a2b2ea7838932013d0b3298b2ad36bf904db5a1ebe6f77d8","observation_id":"cc58c1b4-e739-48f9-b6f1-ebd2ad21b0ca","resolution":{"observed_at":"2026-08-06T12:12:37.945389Z","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":"2026-08-06T12:12:39.115254Z","title":"Band theory of spatial dis- persion in magnetoelectrics,","venue":null,"work_id":"f9212165-ce5f-4e18-b02a-0cba59f62757","year":2010},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.949802Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:ff7ad4156973b93a7126a489b433bea51a34700ea817f272da096c1530f1b207","observation_id":"e4c903f2-8d8b-49d3-a8b8-c1993d5e2f03","resolution":{"observed_at":"2026-08-06T12:12:39.122632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.097456Z","title":"Theory of orbital magnetoelectric response,","venue":null,"work_id":"3d9cfa72-76e3-469a-a8dd-2e8cba360ba7","year":2010},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.955616Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:4500546bb85a4bf55018bae97f6c6b7b4b1ba49474a93b6e54bc3461a838d90f","observation_id":"8dfe3506-8b5d-4be8-b5d2-658eab935d44","resolution":{"observed_at":"2026-08-06T12:12:39.103626Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.080383Z","title":"Topological insulators and superconductors,","venue":null,"work_id":"8ef162c2-dc64-4d8e-8366-0b0cecb05d16","year":2011},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.960678Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:6114b10eed0b499fa6c52dd62a914647b3928a7576fbb0249649b9ff310c50d2","observation_id":"3ba29570-8ced-4d70-a0d0-987d82927003","resolution":{"observed_at":"2026-08-06T12:12:39.086714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.062337Z","title":"Electromagnetic and ther- mal responses of Z topological insulators and superconductors in odd spatial dimensions,","venue":null,"work_id":"0ea99fd5-c2d0-4947-8394-fe6e97871f96","year":2013},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.966705Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:4391777e3eec59bf043cdf55ebf3abfbfd0e68e13362f8d705cf05ca402812e1","observation_id":"283488c7-2fa4-48a9-bb9e-61c5238c6907","resolution":{"observed_at":"2026-08-06T12:12:39.068754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.044623Z","title":"Theory of optical axion electrodynamics and application to the Kerr ef- fect in topological antiferromagnets,","venue":null,"work_id":"3fc9a7e1-c2eb-4053-9817-7e5af09e1445","year":2022},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.971324Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:50a85832b561ce1dfc49d656b127c3d4db74d35509215eb3d27474885754415a","observation_id":"67135337-a562-4526-85db-b11ebed12d4b","resolution":{"observed_at":"2026-08-06T12:12:39.050962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.026196Z","title":"Teleportation of Berry curvature on the surface of a Hopf insulator,","venue":null,"work_id":"6351d121-4218-49de-9487-cfdbb69bd6be","year":2021},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.976332Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:40b3280d66f01d968f2929c1aac0ce55801d9c996fad10dc3359c77f84459395","observation_id":"94dd30ef-dffc-4ed7-bc47-cf443b921134","resolution":{"observed_at":"2026-08-06T12:12:39.033287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:39.007598Z","title":"Quantized electromagnetic response of three- dimensional chiral topological insulators,","venue":null,"work_id":"bf4edabf-cc7d-4789-8f43-821ce1ff0af3","year":2015},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.981362Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:8cb4c868337495097ec7f05fe3b2317e7642cf94c2bedf8c473db61a49250007","observation_id":"72e2d939-35b4-4dc9-861d-eb32b27ea096","resolution":{"observed_at":"2026-08-06T12:12:39.015238Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.989766Z","title":"I), and the underlying tensor monopoles and gerbe struc- tures (Sec","venue":null,"work_id":"6d14704c-4a7b-498e-a8f5-e91413d82a5a","year":null},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.985491Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:d0fbf9998c9d7a559769ec1ece6849004cfa2f71b212f8173447a86635cd7280","observation_id":"494e901f-1a69-40a1-b588-fb9cb4248e24","resolution":{"observed_at":"2026-08-06T12:12:38.995974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.969023Z","title":"Fail- ure of Nielsen-Ninomiya theorem and fragile topology in two- dimensional systems with space-time inversion symmetry: Ap- plication to twisted bilayer graphene at magic angle,","venue":null,"work_id":"3cb27591-7002-4ac7-a957-2e062e82f343","year":2019},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.990096Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:67308ada1f8c3d28bc6a78bb86df5226787ffaa0de2d9fb600fb6b7fd5e4dd49","observation_id":"51e74b0e-5b95-49fa-b990-7e72c9e5b4ac","resolution":{"observed_at":"2026-08-06T12:12:38.976512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.952814Z","title":"Non-Abelian re- ciprocal braiding of Weyl points and its manifestation in ZrTe,","venue":null,"work_id":"c3af851b-893c-4afb-8a99-7c2e9137fd5a","year":2020},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:37.994439Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:10027ef4cdc4a21003598dbb718a2ff8df595f687502313c3a30171f3a0cdca1","observation_id":"42afadf7-90c9-4787-b496-c1893fc6606c","resolution":{"observed_at":"2026-08-06T12:12:38.958744Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.934160Z","title":"N-band Hopf insulator,","venue":null,"work_id":"cbb24485-65ea-4538-8aa8-2ccb8d496a44","year":2021},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.003938Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:fe204f26d574e3d9f1037d0f933343fa138566a61b8f645b3d84fbb55e9f2d01","observation_id":"b509359c-34c5-45d0-a9a8-065d1c2eee73","resolution":{"observed_at":"2026-08-06T12:12:38.941394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.915924Z","title":"Low- frequency divergence and quantum geometry of the bulk pho- tovoltaic effect in topological semimetals,","venue":null,"work_id":"3b31a028-50db-466e-998b-1f9472f77e38","year":2020},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.008353Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:8a9699144a885b59542c6f790d03248b7242ac33a8ce75f4e3f0f429979e2ce4","observation_id":"618cf190-08ee-4c43-b3cd-3774d85e6df4","resolution":{"observed_at":"2026-08-06T12:12:38.921948Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.898441Z","title":"Riemannian geometry of resonant optical re- sponses,","venue":null,"work_id":"20ae63ba-aa4b-4000-9b75-c4a3614863c3","year":2021},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.012696Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:3f12244ea60200793cb0b6d083c425fdabb5ee468727db4b2b5735cd9b111752","observation_id":"5bff5500-68c3-4f1a-960c-61b300502139","resolution":{"observed_at":"2026-08-06T12:12:38.904543Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.879866Z","title":"Quantized inte- 7 grated shift effect in multigap topological phases,","venue":null,"work_id":"92377a90-0c9c-41d6-b043-4d577d60e247","year":2024},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.017301Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:0f40752a1376454c0d03a0959e3acbdea886d1a2f736139f1f3a21804d67ad99","observation_id":"51092e35-1046-4f5f-b93d-e764692413f6","resolution":{"observed_at":"2026-08-06T12:12:38.887722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.862014Z","title":"Kinetic theory of the displacement photovoltaic effect in piezoelectric,","venue":null,"work_id":"4c0acfdb-75b9-41ef-90b7-a87b1a2a1df0","year":1982},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.021998Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:74da8768666a78ce8b990ebc96871246a02658d1d7d5c54cd694ffca0625b2fb","observation_id":"c536db2c-2fa2-45f0-a5c7-520f52a220e2","resolution":{"observed_at":"2026-08-06T12:12:38.868240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.843751Z","title":"Nonlinear optical response of semiconductors in the independent-particle approximation,","venue":null,"work_id":"32a65921-b3cf-425e-ada7-8b7d3e318010","year":1993},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.026307Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:6baea611343e069b3f75168a86456655a7b87a7c54e55d2d92b0dcf2f8c1d510","observation_id":"ff6c54c9-4e4c-4bb4-bee5-5947f00727fc","resolution":{"observed_at":"2026-08-06T12:12:38.850526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.825422Z","title":"Topological nature of nonlinear optical effects in solids,","venue":null,"work_id":"5f765375-8113-47af-9173-9bfc74b276b4","year":2016},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.030747Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:221b50cc1dabe868bbf5bb95b4ccd55ac3800cb95dfcae62ac60664670c64be8","observation_id":"084a1ba0-63f8-4b3d-9495-6788c3b01008","resolution":{"observed_at":"2026-08-06T12:12:38.832453Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.809737Z","title":"Design principles for shift current photovoltaics,","venue":null,"work_id":"2a7362f1-1dd9-4d97-b7b2-5152e84dcf33","year":2017},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.035335Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:4231b5eee40e1c23f5c7965e4c4cff5258049253b69670bcbffeda01ebebb1c3","observation_id":"f2be0fb7-d360-4290-bbb9-95be417cf252","resolution":{"observed_at":"2026-08-06T12:12:38.814770Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.794690Z","title":"Quantization of intraband and interband Berry phases in the shift current,","venue":null,"work_id":"b6298d6b-8584-44b2-9101-1944de180a84","year":2024},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.039715Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:b1a209b2f730ee8b12d887fe797a16490325793e0453948841cbb49d6810c0f2","observation_id":"25e10cd7-8b10-4472-b37e-cb1ba93e4219","resolution":{"observed_at":"2026-08-06T12:12:38.799395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.779027Z","title":"Three-dimensional PT -symmetric topo- logical phases with a Pontryagin index,","venue":null,"work_id":"8f2f0778-6696-4c78-a11b-3f8bef978d55","year":2024},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.045050Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:d51089f75c2ad1fcfaa62339b270224275611f0062d0e6d986bc046925a85500","observation_id":"0495f824-973f-436a-b02c-4eefe123ebfa","resolution":{"observed_at":"2026-08-06T12:12:38.783793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.763008Z","title":"Detecting fractional Chern insu- lators through circular dichroism,","venue":null,"work_id":"91b0f823-38ad-49ef-9227-dbc2f6dd9cf4","year":2019},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.049565Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:7c8822c011620ed2610a006146b377519e3a31ba24452c0a8e25aa6fef501988","observation_id":"a69e6663-99db-4bad-bbc3-d082bcf8e9e0","resolution":{"observed_at":"2026-08-06T12:12:38.768657Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.747408Z","title":"Quantization of Hall conductance for interacting electrons on a torus,","venue":null,"work_id":"2df15379-e9e1-411d-8c39-2f8cde07dd29","year":2015},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.054031Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:95230766326c95a7992c6f520d4b7f40ea84ad6ee0543cc746f3b7515ceebac1","observation_id":"bafecdf5-67f3-4124-94d5-dec282657d1c","resolution":{"observed_at":"2026-08-06T12:12:38.752727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.731955Z","title":"Quantization of conductance in gapped interacting sys- tems,","venue":null,"work_id":"1a83eb85-7abb-4780-a79f-3043d3c548ec","year":2018},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.058263Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:2678d8b3562dec4f18cbecb7afafb6d08115fcb0a455c89b535f16160910f249","observation_id":"ad29d513-d4cc-49b2-98ce-06791a1e665a","resolution":{"observed_at":"2026-08-06T12:12:38.737555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.714638Z","title":"Exact projected entangled pair ground states with topological Euler invariant,","venue":null,"work_id":"52c022ee-2c5a-4a05-911f-db15f1fb8ccc","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.062681Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:febecc108c482f18c72adba8df7d3332965b0e35896eae18945b58916f5bf978","observation_id":"415d5057-7c58-49c1-9ba5-3172f186c11a","resolution":{"observed_at":"2026-08-06T12:12:38.720509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.697974Z","title":"Optical manifestations and bounds of topological Euler class,","venue":null,"work_id":"ea8637c0-1eb3-483e-9561-2bf11eb4f320","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.066931Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:383e8597558e3e6688b6ae7f33d1c0376a1c825442e20c0733b615c0f1e8ac3d","observation_id":"13032503-3315-4f24-9b97-35eface6bc02","resolution":{"observed_at":"2026-08-06T12:12:38.703423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.681135Z","title":"Anomalous geometric transport signatures of topological Eu- ler class,","venue":null,"work_id":"8c8ce636-3daa-46b5-92f9-e92f640c54a1","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.071462Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:ae0b49f6654eaa6e514fcec4e883e3010681c394f6cd3133ea20647fa1b23fe1","observation_id":"cc5ac1a1-2ae5-4645-80db-4c933160eadc","resolution":{"observed_at":"2026-08-06T12:12:38.687313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.664191Z","title":"Kitaev, in AIP Conference Proceedings (AIP , 2009)","venue":null,"work_id":"6270939c-32e4-4fba-b8d4-0145f8fc05e2","year":2009},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.077111Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:65d232a7fdc6f40c7d4a8a74941a5929199f90178e915fd2134209179dcdd147","observation_id":"3411940e-562f-4462-8a89-fcb9d180f92f","resolution":{"observed_at":"2026-08-06T12:12:38.669727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.649272Z","title":"Bouhon, T","venue":null,"work_id":"f368c9ef-f26e-4805-91b0-4be9d859d644","year":2020},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.081499Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:f9060e7f55f784a3c7463db9e9add66ef54ce9b7c8ca1592fcddb15813e3ac9a","observation_id":"b793e883-27f1-4ac3-a398-fffb355b0339","resolution":{"observed_at":"2026-08-06T12:12:38.653748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.634741Z","title":null,"venue":null,"work_id":"1f5a628c-3b6d-41a9-b80c-5edb52d9760a","year":2008},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.086234Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:38d2c5e130b3dee68e9aad94bdbd29b8524ee50106641f2e14a102df09db93c2","observation_id":"e2f6dd8c-a3d6-4302-b53c-c0c49febcbb6","resolution":{"observed_at":"2026-08-06T12:12:38.639267Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.090790Z","title":"Kennedy, Phys","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.090790Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:b207cb39319262c80a4b93872de25ac804f151de60575799eaaafef3570be0c0","observation_id":"5d476f7a-e086-406f-9d05-1e48a1cb5f3a","resolution":{"observed_at":"2026-08-06T12:12:38.090790Z","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":"2026-08-06T12:12:38.611021Z","title":"Lapierre, T","venue":null,"work_id":"1547312c-d688-43a1-b15d-c23818d3646d","year":2021},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.095094Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:3072c7cb47496c851c293c166cf302e8b79fcab38ad107673c7c1be3c32ecf10","observation_id":"aebc9713-c5d0-49db-9c9d-c62d7392dfb8","resolution":{"observed_at":"2026-08-06T12:12:38.615470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.596181Z","title":null,"venue":null,"work_id":"643bb1e9-4eee-48a7-83e3-27203a2f68d7","year":2024},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.099555Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:1601ccc1aea1085ca85cc3b5e6f719d3a0d9719774ca1a341c3320d5cffa3d97","observation_id":"5afa259b-2685-461b-a2eb-17f431fdd468","resolution":{"observed_at":"2026-08-06T12:12:38.600867Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.581108Z","title":null,"venue":null,"work_id":"a4b41f93-e1fe-4a29-8169-f72083d40997","year":2019},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.103861Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:495e79acd82ec5b80edbb4d963744cf97ae5da08713797ed8bd715bddba24337","observation_id":"94b70d62-32fd-4fc7-8a16-09198fa0d66d","resolution":{"observed_at":"2026-08-06T12:12:38.586436Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.565573Z","title":"Bouhon, Q","venue":null,"work_id":"4aea27fc-c3c6-490a-b93f-65071c9b3382","year":2020},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.108906Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:6a1ce2fae148084bd29699c7335a05c5b1a08d67e02937ddc5f22002400dffb6","observation_id":"7ae27cd8-7e2e-4a95-b790-b3eb7a15bd5b","resolution":{"observed_at":"2026-08-06T12:12:38.570742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.113193Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.113193Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:628e5c82a74624a996ed2a559e7c9fb9b38f07953d003d2cf4e815792b733c60","observation_id":"00289403-726b-4b58-9d09-2722ec21380c","resolution":{"observed_at":"2026-08-06T12:12:38.113193Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.02180","last_updated":"2023-03-03T19:01:29Z","snapshot_observed_at":"2026-07-06T14:58:29.603807Z","submitted_at":"2023-03-03T19:01:29Z","title":"Quantum geometry beyond projective single bands","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.02180","snapshot_observed_at":"2026-08-06T12:12:38.117544Z","title":"Quantum geometry beyond projective single bands,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.117544Z"},"links":{"cited_paper":"/paper/2303.02180","citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:faa3970f76f1d3527fa4105404585fcfda42a5c1831cabf67f7db7d1d714bc23","observation_id":"72c00f28-b0ee-4889-a20e-c96927ba2d28","resolution":{"observed_at":"2026-08-06T12:12:38.117544Z","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":"2026-08-06T12:12:38.541128Z","title":null,"venue":null,"work_id":"f065c9fb-e670-4635-a26d-23950aa2ae07","year":2023},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.121995Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:28d5542162cee56bcae92da1d8dc8bf65fc450b24d41a56c4b9e2505b33abe33","observation_id":"f1003836-35a3-49d6-b221-ff1526124383","resolution":{"observed_at":"2026-08-06T12:12:38.546018Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.525801Z","title":null,"venue":null,"work_id":"33efc89b-ab8f-4500-8ac8-9211f080a80d","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.126720Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:d53e1c1943d7c49d8712f985a08b4629beab1f6e4e5bb6edd6b3ac759d31b3db","observation_id":"f36644c4-b241-4407-9928-1ab0354e4417","resolution":{"observed_at":"2026-08-06T12:12:38.530378Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.510370Z","title":null,"venue":null,"work_id":"06fd25fa-49ce-4cc7-a58a-70d7c19342bf","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.131097Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:b6ba18eaf7c9abbc28a34f9de3499e21c84b1d57772d49451e2435ed53a6eb7e","observation_id":"7b36bcc2-988d-4bb6-a183-88689bea0533","resolution":{"observed_at":"2026-08-06T12:12:38.515175Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.493584Z","title":null,"venue":null,"work_id":"e8e94f66-d78a-4694-b45c-8ca6fd2c06f9","year":2025},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.135462Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:0c53282064764cfc654e5c6b3c657bf2e7cbaa5b544bdab4c19b2c0bc3cdec93","observation_id":"5ddfac46-e78d-4233-9a0d-e156ed37716b","resolution":{"observed_at":"2026-08-06T12:12:38.498947Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T12:12:38.139800Z","title":"Davoyan, W","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-06T12:12:38.139800Z"},"links":{"citing_paper":"/paper/2507.22116"},"observation_digest":"sha256:9c8d9bd51c89e1a758ca282cc754b17d0f37fc277bed7f00cfa7a764ffcb5b5f","observation_id":"ae6b5ad8-a3e9-4f23-9893-fad32731120b","resolution":{"observed_at":"2026-08-06T12:12:38.139800Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.22116","last_updated":"2025-07-29T18:00:01Z","latest_version":1,"primary_category":"cond-mat.mes-hall","snapshot_observed_at":"2026-08-06T12:12:37.070809Z","submitted_at":"2025-07-29T18:00:01Z","title":"Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter"},"reference_resolution":{"displayed":97,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":35,"verified_exact":2,"verified_fuzzy":60},"total_outbound_references":97},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 97 of 97 outbound references and 2 inbound Pith citation observations for arXiv:2507.22116."}