{"as_of":"2026-08-20T12:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c2de14b9f5db0ff6b1a91543189a3f678ee0df116222a0c34410a7b353881ea4","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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":"2026-08-07T14:22:36.156948Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T14:22:36.570583Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2008.10170","last_updated":"2020-08-24T03:10:54Z","snapshot_observed_at":"2026-08-19T18:14:06.468419Z","submitted_at":"2020-08-24T03:10:54Z","title":"Geometrically Interpreting Higher Cup Products, and Application to Combinatorial Pin Structures","version":1},"cited_work":{"arxiv_id":"2008.10170","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.10170","snapshot_observed_at":"2026-08-07T14:22:36.570583Z","title":"Geometrically Interpreting Higher Cup Products, and Application to Combinatorial Pin Structures","venue":"hep-th","work_id":"cedb90c0-a577-43b2-9f0c-9f5618161986","year":2020},"citing_paper":{"arxiv_id":"2505.19412","last_updated":"2025-09-01T07:11:43Z","snapshot_observed_at":"2026-08-19T07:21:38.528912Z","submitted_at":"2025-05-26T02:04:31Z","title":"2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T14:22:36.156948Z"},"links":{"cited_paper":"/paper/2008.10170","citing_paper":"/paper/2505.19412"},"observation_digest":"sha256:a718f0212c0732a16d79ec2b7808a56350fbf0087a6e7236e9c0018f2c64608b","observation_id":"87d960f9-4e4c-4e97-977b-b25b92a7c485","resolution":{"observed_at":"2026-08-07T14:22:36.576258Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.10170","last_updated":"2020-08-24T03:10:54Z","snapshot_observed_at":"2026-08-19T18:14:06.468419Z","submitted_at":"2020-08-24T03:10:54Z","title":"Geometrically Interpreting Higher Cup Products, and Application to Combinatorial Pin Structures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.10170","snapshot_observed_at":"2026-08-01T06:57:49.361535Z","title":"Geometrically Interpreting Higher Cup Products, and Application to Combinatorial Pin Structures,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.21728","last_updated":"2026-07-23T18:24:51Z","snapshot_observed_at":"2026-08-15T01:24:07.490361Z","submitted_at":"2026-07-23T18:24:51Z","title":"Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-01T06:57:49.361535Z"},"links":{"cited_paper":"/paper/2008.10170","citing_paper":"/paper/2607.21728"},"observation_digest":"sha256:a5f52d5ae560887e2b738a9689dd1af3e3445ad62bbb2dc7715d25fba678c0b8","observation_id":"0fe3f775-d5db-46a5-a333-25385a46e13c","resolution":{"observed_at":"2026-08-01T06:57:49.361535Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2008.10170/citation-record","integrity":"/paper/2008.10170/integrity","json":"/paper/2008.10170/citation-record.json","paper":"/paper/2008.10170"},"outbound":[],"paper":{"arxiv_id":"2008.10170","last_updated":"2020-08-24T03:10:54Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-19T18:14:06.468419Z","submitted_at":"2020-08-24T03:10:54Z","title":"Geometrically Interpreting Higher Cup Products, and Application to Combinatorial Pin Structures"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2008.10170."}