{"as_of":"2026-08-08T04:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3fd062b758e308a7fea535715db84a49f6b81fc25c4c66f71be0a0c4d629b6e4","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:08:17.626783Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2507.17179/citation-record","integrity":"/paper/2507.17179/integrity","json":"/paper/2507.17179/citation-record.json","paper":"/paper/2507.17179"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:08:21.909679Z","title":"Kane and E","venue":null,"work_id":"3bdb90d0-00ce-411e-8521-5fb3a0fd559c","year":2005},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:14.616799Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:b9e6c72726fb8c53b554657208fe443f7d9e08ffba0cd752b2173c07484be1c8","observation_id":"a86bcc07-490f-42e8-83f3-edb774d5fe5c","resolution":{"observed_at":"2026-08-06T15:08:22.013438Z","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":"2026-08-06T15:08:14.746675Z","title":"Fu and C","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:14.746675Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:b31f3fad280a00bf6aab8d763ae9bf65497b8c0db5fa023122552dedd508e671","observation_id":"f7355211-53f8-4af6-a2a4-61f59e58390f","resolution":{"observed_at":"2026-08-06T15:08:14.746675Z","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":"2026-08-06T15:08:21.684423Z","title":"Ringel, Y","venue":null,"work_id":"cb7d3e87-203a-4842-a06e-ec6cdeea6995","year":2012},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:14.879560Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:62838f1ae0f06f8b12baa90e7243377523de8bd23370e6b04ccb02825a5b714d","observation_id":"cc9d4e5c-995c-4f1d-a242-501d81b4c11e","resolution":{"observed_at":"2026-08-06T15:08:21.784711Z","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":"2026-08-06T15:08:21.379198Z","title":"Thorngren and D","venue":null,"work_id":"3fdf3061-4610-47c9-b809-3e7142eb2e58","year":2018},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:14.976780Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:a781b7293be44aaa8ce8bc5a4ba287c4233590456fc76d2f1afbac23327618d4","observation_id":"cc093565-fb40-4f96-adfd-bfb95ddedcfa","resolution":{"observed_at":"2026-08-06T15:08:21.527928Z","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":"2026-08-06T15:08:21.153805Z","title":"Gomi and G","venue":null,"work_id":"5e2da87e-0257-4c75-9dc5-b01ef01aaf02","year":2021},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:15.096723Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:648f9a777540c1884e0188b313759613c987d9805a7232b3c2fe4544d5df3326","observation_id":"e0b85b61-f42a-45ea-b11a-4d53d4dbca5a","resolution":{"observed_at":"2026-08-06T15:08:21.261378Z","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":"2026-08-06T15:08:20.925631Z","title":"Prodan and H","venue":null,"work_id":"af03cf84-5c2a-4717-b91d-ffe7dc940a45","year":2016},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:15.176870Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:6273a4dbfd85a224df35757098b03013c1f3479c741b3ad0f0bdf54e5ac3a5c6","observation_id":"68e0e3f4-2437-41bf-aed3-afe087e77c8e","resolution":{"observed_at":"2026-08-06T15:08:21.052095Z","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":"2026-08-06T15:08:20.685465Z","title":null,"venue":null,"work_id":"e5db2bde-54f9-4c77-af0c-183ddf5eb851","year":2014},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:15.309911Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:c4b7ead2663c8bcf592f4d8d5a2d62d0f289d17594e46b9a13d32fe0271a3dda","observation_id":"1dab04c6-5436-4b9e-a982-19eec184aafa","resolution":{"observed_at":"2026-08-06T15:08:20.764057Z","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":"2026-08-06T15:08:20.452936Z","title":"Witten, Fermion path integrals and topological phases, Reviews of Modern Physics 88, 035001 (2016)","venue":null,"work_id":"f1853fbc-334b-4883-8e8f-1e777beb07ad","year":2016},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:15.431717Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:9e0d64dd0d59b95bcec1755bfc29b2f3a9c38c8c417a1e11e95528e653e566e0","observation_id":"49db0d9b-939b-4cee-84d6-c6dcacae9dd6","resolution":{"observed_at":"2026-08-06T15:08:20.555542Z","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":"2026-08-06T15:08:20.244822Z","title":null,"venue":null,"work_id":"8db43b9e-3abc-45b7-b5b6-fccd03534ba1","year":2021},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:15.575673Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:d3c54f6ecaa45b9630016a3c5510eca7d3aa1489289c7162f7effdae6a338ef4","observation_id":"e0eaf3bb-bdfe-428c-a83e-8b87c33afae7","resolution":{"observed_at":"2026-08-06T15:08:20.313620Z","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":"2026-08-06T15:08:20.039798Z","title":"Kapustin and R","venue":null,"work_id":"8565c0e9-9a6e-43ba-bfe4-cc6bc45dab90","year":2014},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:15.665121Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:0a38eff0c06205d78b412e861d098a92cb1473c34cc4f9cb388a28fafff245d0","observation_id":"90fbadd7-5b97-4e5f-83dd-ef0aa037d882","resolution":{"observed_at":"2026-08-06T15:08:20.139505Z","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":"2026-08-06T15:08:19.931967Z","title":"Cheng, M","venue":null,"work_id":"ec8ba306-378d-4729-b65a-25826d3b8858","year":2016},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:15.810931Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:0b4d2b19cd36cbb1a6673f0b9caa4c4991951b5b71cf69284ed8a6d8bebf08d4","observation_id":"e0fefb47-29fa-4f73-8c10-5644ae6e42da","resolution":{"observed_at":"2026-08-06T15:08:19.987810Z","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":"2026-08-06T15:08:19.792707Z","title":null,"venue":null,"work_id":"012a1905-d953-4a3e-b9f2-66a2116a6284","year":2013},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:15.955222Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:b3f9ff16e8ddaddfb0b85c9d0cd6fdf3a8c8248eaecd98109b4238d2c5c9db7b","observation_id":"5ca08899-aa89-442f-89dd-7f0aee4143ab","resolution":{"observed_at":"2026-08-06T15:08:19.843037Z","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":"2026-08-06T15:08:19.629967Z","title":null,"venue":null,"work_id":"6a36710f-33fc-499c-ba53-7f598c5f1a67","year":2015},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:16.133827Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:f4a08399def61b94f23ddfe68d5e34be19eafa3c2c035c446eef7dad54009324","observation_id":"c892edde-1998-4483-9a4f-34164fdc7ebe","resolution":{"observed_at":"2026-08-06T15:08:19.678660Z","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":"2026-08-06T15:08:19.424538Z","title":"Gomi and G","venue":null,"work_id":"159e57c8-9108-47f0-8640-44712f891fcd","year":2019},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:16.299512Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:0f3a5c4280aa724a43d3d2e5a3243efd6bd8d632eb083a8482fa9fcd8fff7ad7","observation_id":"0b6a6a63-5133-45d3-9b2b-8dc906cf54bc","resolution":{"observed_at":"2026-08-06T15:08:19.531616Z","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":"2026-08-06T15:08:19.236872Z","title":"McGreevy, Generalized symmetries in condensed mat- ter, Annual Review of Condensed Matter Physics 14, 57 (2023)","venue":null,"work_id":"1db3e805-26ad-4f15-807b-fea4a64e7513","year":2023},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:16.429478Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:ae0ddce898fe526db8023ec906a99e77d99ea9536e8600f60d005d607ad4d022","observation_id":"98b3a311-6f7b-4f91-a3d0-5f10fbdc8e39","resolution":{"observed_at":"2026-08-06T15:08:19.345181Z","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":"2026-08-06T15:08:19.126033Z","title":"Kitaev, Homotopy-theoretic approach to spt phases in action: Z16 classification of three-dimensional supercon- ductors, in Symmetry and Topology in Quantum Matter Workshop (2015)","venue":null,"work_id":"40eb6ab0-8907-4022-be06-a935325dbee5","year":2015},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:16.596903Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:dd4045bc8ac48cf09c4295897d7f0ebae79b582f212769041d9534d891d40602","observation_id":"41001883-7586-45cb-9ac0-8d49776109ec","resolution":{"observed_at":"2026-08-06T15:08:19.185466Z","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":"2026-08-06T15:08:18.936941Z","title":null,"venue":null,"work_id":"5c4fb192-5b10-4d1e-b729-9f5a00a193c6","year":2013},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:16.771020Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:4b526a2d92fc6a6e2389e9d812f7e02e103192175476c6f28e3637b344e06ce2","observation_id":"7139d974-d5b8-48ac-b4e0-4aa2f00347e7","resolution":{"observed_at":"2026-08-06T15:08:19.038687Z","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":"2026-08-06T15:08:18.709649Z","title":"Gaiotto and T","venue":null,"work_id":"367a9aef-126c-4515-af2f-300ad92ea0fa","year":2019},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:16.888241Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:d47b92d781fec151facb54e585a7e8fbc9e8ebddcfc9527d443f9924c5506380","observation_id":"be79a0ee-4cdb-42d0-b27c-5124d42025a9","resolution":{"observed_at":"2026-08-06T15:08:18.819080Z","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":"1810.00801","last_updated":"2023-06-22T09:51:13Z","snapshot_observed_at":"2026-07-06T07:05:24.565760Z","submitted_at":"2018-10-01T16:33:43Z","title":"Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.00801","snapshot_observed_at":"2026-08-06T15:08:17.062149Z","title":"Shiozaki, C","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:17.062149Z"},"links":{"cited_paper":"/paper/1810.00801","citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:8d8448253866c6fb4ef5bdd5defd6edbca1403800617234a17f8cdb6ae1c675a","observation_id":"6cf4b4c8-9f3e-465b-a3f0-1dd0187c603c","resolution":{"observed_at":"2026-08-06T15:08:17.062149Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.10031","last_updated":"2026-07-15T14:17:47Z","snapshot_observed_at":"2026-08-05T15:15:00.152690Z","submitted_at":"2024-10-13T22:14:38Z","title":"Weak topological phases in the presence of interactions","version":2},"cited_work":{"arxiv_id":"2410.10031","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.10031","snapshot_observed_at":"2026-08-06T15:08:17.719167Z","title":"Weak topological phases in the presence of interactions","venue":"math-ph","work_id":"dfa8f07f-c76c-40fb-b171-b850dea9f768","year":2024},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:17.203826Z"},"links":{"cited_paper":"/paper/2410.10031","citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:78a3c02271f56450bb0e9a344d8f4aecfe541837c178cccc7da1ef6f7415b728","observation_id":"e0d1d158-7dff-4fe9-af0f-a4cf5e68ac37","resolution":{"observed_at":"2026-08-06T15:08:17.852144Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":"2026-08-06T15:08:18.507963Z","title":"Hatcher, Algebraic Topology (Cambridge University Press, Cambridge, 2002)","venue":null,"work_id":"4300c415-45bc-4508-a55e-3834209b20f2","year":2002},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:17.303948Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:8b8c789c5b3ea46c12435d6f5d61fc57e94fe692e1ad4f59ec56993b13243e3e","observation_id":"b3ec8e9c-7a98-4732-ab3b-c48bb8890aad","resolution":{"observed_at":"2026-08-06T15:08:18.620015Z","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":"2026-08-06T15:08:18.319481Z","title":"Sheinbaum and O","venue":null,"work_id":"68b26d25-8ab5-49b7-96e8-e7f272ae3858","year":2025},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:17.417619Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:b245e1805a68d57e13418ee26869a0c20e18b718746395c98309371d38e2ca39","observation_id":"3c6601cc-260b-409b-bbd7-2a2b6d827b9e","resolution":{"observed_at":"2026-08-06T15:08:18.392700Z","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":"2026-08-06T15:08:18.114058Z","title":"Wang, X.-G","venue":null,"work_id":"0994aad4-6783-4946-b3bd-c551f912e6ef","year":2018},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:17.566678Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:9512b594484bf32d8a118f6a32e2455965194a35251eec3612376d2bc0b1cf2f","observation_id":"2d489477-a079-4967-b3ca-a66e08507963","resolution":{"observed_at":"2026-08-06T15:08:18.207644Z","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":"2026-08-06T15:08:17.963913Z","title":"Prakash, J","venue":null,"work_id":"5f1c046d-ebe4-42b7-b8a5-5b58a6866bee","year":2018},"citing_paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T15:08:17.626783Z"},"links":{"citing_paper":"/paper/2507.17179"},"observation_digest":"sha256:b0b298840941ad6d16eead75240f1a6931407a3a56ee5bf097c78d984252015e","observation_id":"e1b3f6f3-922d-4acc-8401-7a1a9c45b3ad","resolution":{"observed_at":"2026-08-06T15:08:18.018186Z","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"}}],"paper":{"arxiv_id":"2507.17179","last_updated":"2025-07-23T03:59:29Z","latest_version":1,"primary_category":"cond-mat.str-el","snapshot_observed_at":"2026-08-06T14:52:50.532698Z","submitted_at":"2025-07-23T03:59:29Z","title":"Weak in the boundary: How weak SPT phases spoil anomaly matching"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":16},"total_outbound_references":24},"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 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2507.17179."}