{"as_of":"2026-08-20T14:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:38f0b6f04267bac10be58ad9c0af172f705d4a1840bfddd04174e6e186988b73","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T15:38:12.897245Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T08:09:41.739450Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.04957","last_updated":"2024-11-19T23:33:35Z","snapshot_observed_at":"2026-08-16T13:20:28.707433Z","submitted_at":"2024-09-08T03:09:12Z","title":"Skein relations for punctured surfaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.04957","snapshot_observed_at":"2026-08-08T15:38:12.897245Z","title":"Skein relations for punctured surfaces","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.06410","last_updated":"2025-09-08T13:15:50Z","snapshot_observed_at":"2026-08-20T00:30:09.467571Z","submitted_at":"2025-02-10T12:49:57Z","title":"A multiplication formula for cluster characters in gentle algebras","version":4},"reference_index":2080,"source":"pdf_text","source_observed_at":"2026-08-08T15:38:12.897245Z"},"links":{"cited_paper":"/paper/2409.04957","citing_paper":"/paper/2502.06410"},"observation_digest":"sha256:80276f6124adddeea3ff9ce9ddaa82b036e84ae3744af7fefc9c1f7608a5e64b","observation_id":"b6ef3251-8102-4c0d-9f85-859114f9576f","resolution":{"observed_at":"2026-08-08T15:38:12.897245Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.04957","last_updated":"2024-11-19T23:33:35Z","snapshot_observed_at":"2026-08-16T13:20:28.707433Z","submitted_at":"2024-09-08T03:09:12Z","title":"Skein relations for punctured surfaces","version":2},"cited_work":{"arxiv_id":"2409.04957","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.04957","snapshot_observed_at":"2026-07-04T08:09:41.739450Z","title":"Skein relations for punctured surfaces","venue":null,"work_id":"d491b17e-a3cd-44f8-9d3b-c73ad608037c","year":2024},"citing_paper":{"arxiv_id":"2508.04396","last_updated":"2026-02-11T13:07:58Z","snapshot_observed_at":"2026-07-06T22:08:45.542495Z","submitted_at":"2025-08-06T12:39:09Z","title":"Unimodality and Cluster Algebras from Surfaces","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-19T00:31:24.404496Z"},"links":{"cited_paper":"/paper/2409.04957","citing_paper":"/paper/2508.04396"},"observation_digest":"sha256:fdb54528ea328f827ef0ae861d08c3e126f315102e98e990d4c94d97aee6ae02","observation_id":"ebdf5d56-e208-437a-8262-8f92ba950f81","resolution":{"observed_at":"2026-05-19T00:31:55.640519Z","resolver_source":"arxiv_id","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":"2409.04957","last_updated":"2024-11-19T23:33:35Z","snapshot_observed_at":"2026-08-16T13:20:28.707433Z","submitted_at":"2024-09-08T03:09:12Z","title":"Skein relations for punctured surfaces","version":2},"cited_work":{"arxiv_id":"2409.04957","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.04957","snapshot_observed_at":"2026-07-04T08:09:41.739450Z","title":"Skein relations for punctured surfaces","venue":null,"work_id":"d491b17e-a3cd-44f8-9d3b-c73ad608037c","year":2024},"citing_paper":{"arxiv_id":"2512.04026","last_updated":"2026-04-13T09:13:48Z","snapshot_observed_at":"2026-08-14T22:51:03.242320Z","submitted_at":"2025-12-03T18:02:48Z","title":"Orderings of k-Markov Numbers","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-17T01:59:30.046231Z"},"links":{"cited_paper":"/paper/2409.04957","citing_paper":"/paper/2512.04026"},"observation_digest":"sha256:e556850687cfcb479f8331e74f341a51da727be602e490f0765de7ea36055dd3","observation_id":"200fb955-3d57-4c34-9205-65e4bcae48a6","resolution":{"observed_at":"2026-05-17T02:01:25.648130Z","resolver_source":"arxiv_id","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":"2409.04957","last_updated":"2024-11-19T23:33:35Z","snapshot_observed_at":"2026-08-16T13:20:28.707433Z","submitted_at":"2024-09-08T03:09:12Z","title":"Skein relations for punctured surfaces","version":2},"cited_work":{"arxiv_id":"2409.04957","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.04957","snapshot_observed_at":"2026-07-04T08:09:41.739450Z","title":"Skein relations for punctured surfaces","venue":null,"work_id":"d491b17e-a3cd-44f8-9d3b-c73ad608037c","year":2024},"citing_paper":{"arxiv_id":"2604.17445","last_updated":"2026-04-19T13:52:56Z","snapshot_observed_at":"2026-07-06T23:04:32.734175Z","submitted_at":"2026-04-19T13:52:56Z","title":"Orderings of Generalized k-Markov Numbers","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T06:00:03.812477Z"},"links":{"cited_paper":"/paper/2409.04957","citing_paper":"/paper/2604.17445"},"observation_digest":"sha256:92d829af77632b28407743966eb89c0bd1e0fd573f669c158616d8f8cc9e4a2e","observation_id":"abc22947-2620-4612-b6c5-9eeae8625ff5","resolution":{"observed_at":"2026-05-10T06:01:13.281655Z","resolver_source":"arxiv_id","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":"2409.04957","last_updated":"2024-11-19T23:33:35Z","snapshot_observed_at":"2026-08-16T13:20:28.707433Z","submitted_at":"2024-09-08T03:09:12Z","title":"Skein relations for punctured surfaces","version":2},"cited_work":{"arxiv_id":"2409.04957","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.04957","snapshot_observed_at":"2026-07-04T08:09:41.739450Z","title":"Skein relations for punctured surfaces","venue":null,"work_id":"d491b17e-a3cd-44f8-9d3b-c73ad608037c","year":2024},"citing_paper":{"arxiv_id":"2606.21923","last_updated":"2026-08-17T19:36:53Z","snapshot_observed_at":"2026-08-20T14:20:41.562268Z","submitted_at":"2026-06-20T07:41:18Z","title":"Higher $q$-Continued Fractions and Dimers on Band Graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T12:04:28.805139Z"},"links":{"cited_paper":"/paper/2409.04957","citing_paper":"/paper/2606.21923"},"observation_digest":"sha256:4e5df7b6f387db26037392f5f8288cb26e734f30970d3c1904467e6376dd87fd","observation_id":"00ebe6f2-ddb1-4024-8099-e9926c2b4a70","resolution":{"observed_at":"2026-07-04T08:09:41.740946Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2409.04957/citation-record","integrity":"/paper/2409.04957/integrity","json":"/paper/2409.04957/citation-record.json","paper":"/paper/2409.04957"},"outbound":[],"paper":{"arxiv_id":"2409.04957","last_updated":"2024-11-19T23:33:35Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T13:20:28.707433Z","submitted_at":"2024-09-08T03:09:12Z","title":"Skein relations for punctured surfaces"},"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 5 inbound Pith citation observations for arXiv:2409.04957."}