{"as_of":"2026-08-12T07:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:99d9ac5b6f06bc00f8bf2ea7a97630a933887b84c981894b9b74be8aa428f228","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T16:04:53.681921Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-12T21:16:23.456229Z","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":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.10719","snapshot_observed_at":"2026-07-12T21:16:23.456229Z","title":"Goodenough and P","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2604.12576","last_updated":"2026-06-02T22:01:21Z","snapshot_observed_at":"2026-08-10T21:56:24.293834Z","submitted_at":"2026-04-14T10:56:59Z","title":"Detecting entanglement from few partial transpose moments and their decay via weight enumerators","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-07-12T21:16:23.456229Z"},"links":{"cited_paper":"/paper/2604.10719","citing_paper":"/paper/2604.12576"},"observation_digest":"sha256:7013945444ba725544d5984a9fa5d24fbe55cb32b5bba04ed3fc777540f9ca5d","observation_id":"c7c81662-49fa-476c-b4a5-de37bb9d0027","resolution":{"observed_at":"2026-07-12T21:16:23.456229Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2604.10719/citation-record","integrity":"/paper/2604.10719/integrity","json":"/paper/2604.10719/citation-record.json","paper":"/paper/2604.10719"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"cs/0702057","last_updated":"2007-07-01T21:01:46Z","snapshot_observed_at":"2026-07-07T03:09:39.383842Z","submitted_at":"2007-02-09T15:42:46Z","title":"An Efficient Algorithm to Recognize Locally Equivalent Graphs in Non-Binary Case","version":2},"cited_work":{"arxiv_id":"cs/0702057","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"cs/0702057","snapshot_observed_at":"2026-07-04T15:02:31.288593Z","title":null,"venue":null,"work_id":"00bec22e-0d3d-41f8-94f9-62a537440eab","year":2007},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"cited_paper":"/paper/cs/0702057","citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:e1051f4ce16402edf0c8c46607987f40cf84c35da9ea264b970113bb37fc3b89","observation_id":"a40e9182-37cb-4171-9006-00d9b26aac0d","resolution":{"observed_at":"2026-07-04T15:02:31.288593Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"1, 19–26","venue":null,"work_id":"a2f98fa1-4672-440d-83f9-b60e460ad86a","year":2009},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:bb49928a21e9d817a571847695538cb43d678fefdd921947d2cac760e738527d","observation_id":"2143bb92-1780-4cd3-9f5b-5a01de47254e","resolution":{"observed_at":"2026-05-17T17:04:59.887724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"3, 030313","venue":null,"work_id":"2ffa9561-8f89-43ab-95f3-23637a6d79ec","year":2024},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:78fedb9d7097cafe456cf92e48f17ed8b462790d9d26834639d413db47d40b1c","observation_id":"2680fc69-c173-4d54-b1e7-318e004a0f23","resolution":{"observed_at":"2026-05-17T17:04:59.875516Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Reidel Publishing Co., Dordrecht, 1974, The art of finite and infinite expansions","venue":null,"work_id":"5c6dc1af-8856-433f-82a9-272aea809c53","year":1974},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:4e7960186138ce59af959f2ad4bed2ae2c9b8a819245741cb2b126cf09219c64","observation_id":"ec13cb70-820b-4676-b503-9ad807ac29c5","resolution":{"observed_at":"2026-05-17T17:04:59.896681Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"7, 1351–1367","venue":null,"work_id":"669836cc-04f0-4fad-adc6-f5a144cc6c8c","year":2006},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:e59e5cbe5079e248006482d9bc981090de8341f4e37ce948ffa10e57e4414fd5","observation_id":"3356ad3f-f0e8-4161-a51e-dd3cc8391a28","resolution":{"observed_at":"2026-05-17T17:04:59.861447Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Gunnells, Hypergraph matrix models , Mosc","venue":null,"work_id":"4721b055-c03a-46a1-8b53-f1ab49d110ca","year":2021},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:0c709e943cdb7709734b82eafa8d27b3ab3e58451edd08d4469518699dfd4c4e","observation_id":"84cac5fb-f2a7-42ee-91a2-b26e1762e5a9","resolution":{"observed_at":"2026-05-17T17:04:59.879478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4079c566-72b6-448e-81de-03325cf8650e","year":2017},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:0a6e952e50f43d01decb0816299eea5d89491b0067b4407ec7bbafc846e9af9f","observation_id":"b21f0b49-a4b2-49aa-8fd7-3afd869494a5","resolution":{"observed_at":"2026-05-17T17:04:59.899129Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"697ac41d-5112-4af2-9b6b-28b6b525fb0d","year":2020},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:91f8fe45c31f185992bfa57a643f1a90e8004bc588a2981a58f3600114781b77","observation_id":"e9efefab-ae12-40e9-8c3f-53ad48128c2a","resolution":{"observed_at":"2026-05-17T17:04:59.870250Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Etingof, Mathematical ideas and notions of quantum field theory , available from www-math.mit.edu/∼ etingof/","venue":null,"work_id":"6ae04c2b-8ef2-4447-95c1-e9502445bed8","year":2002},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:dccfccdf103a4a9b93c718b8a05f58d037e6b31d2f938d2604f146b5d1d70338","observation_id":"1190f432-ec59-437a-8e90-989f755e01c3","resolution":{"observed_at":"2026-05-17T17:04:59.867687Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"MR 2483235","venue":null,"work_id":"465f1c10-ca7e-45f5-b60d-f2de7fc96d5d","year":2009},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:5440c5d121dd03b3ce66f6ce62f973f84f1629d00bbbdb88152ba12aa01d7f43","observation_id":"56ce2007-6a38-427c-98f1-6a4e83d8f9ec","resolution":{"observed_at":"2026-05-17T17:04:59.893759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Knuth, Tomasz /suppress Luczak, and Boris Pittel, The birth of the giant component, Random Structures Algorithms 4 (1993), no","venue":null,"work_id":"04412e07-1eeb-4029-a6a6-13fad5ad6fc1","year":1993},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:6edc4d9cfcc3286e09bca66ef1c1b24addde37b186d3927025210de7fc93db01","observation_id":"2312532c-dd9c-4dd0-8c38-8d6cf25c105d","resolution":{"observed_at":"2026-05-17T17:04:59.858365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Quantum Inform ation Processing-From Theory to Experiment 199 (2006), 137–158","venue":null,"work_id":"ea736cfb-dfd6-4ec7-a05f-d7aead794385","year":2006},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:fe6cfc0e9e7bcae6fda4190d5bb426c7203cc3662187a011319a802d3e38a276","observation_id":"0adc6530-630f-4622-a400-186cf2935ba8","resolution":{"observed_at":"2026-05-17T17:04:59.891058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"33, 335303","venue":null,"work_id":"c88cb705-b534-4d43-b7fa-06c9e126aaaf","year":2023},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:ca96693af7e0a23419a256a3e5c326f3c543079eed1d40ebb661f7f0aa5b088b","observation_id":"bce3e26f-5340-4c0f-a367-84db6c1025fb","resolution":{"observed_at":"2026-05-17T17:04:59.872985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Stanley, Enumerative combinatorics","venue":null,"work_id":"b83dd555-8ada-4fb8-a901-4be9e26fca90","year":1997},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:e44c2169d09425b4b7557c7c00883726b7bb3112c9f067dbf41542255c9dac35","observation_id":"f14f99c5-98d4-41d5-a966-0adc0026a507","resolution":{"observed_at":"2026-05-17T17:04:59.884869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":"Gunnells, Tim Coopmans, and Jordi Tura, Sec- tor length distributions of recursively definable graph sta tes through analytic combinatorics , preprint","venue":null,"work_id":"8716faad-fdb0-45f2-b5fa-8764a899bb20","year":2026},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:52d6a1e367fd7dca9d686a1306692bd459aaa43728150a52bb68f37724ca0b93","observation_id":"896128c7-41a0-4b5d-97c1-83a729154afb","resolution":{"observed_at":"2026-05-17T17:04:59.864627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7475abbf-8e3f-4a64-80dc-c7f92b04e52b","year":1977},"citing_paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T16:04:53.681921Z"},"links":{"citing_paper":"/paper/2604.10719"},"observation_digest":"sha256:83fb0297228458029a4ec191fa624c7cc8bbab7cdc9003974212e7b88ddfeb4e","observation_id":"b297b861-a4f9-4222-8b03-7bbfbcfc0a05","resolution":{"observed_at":"2026-05-17T17:04:59.882109Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.10719","last_updated":"2026-04-12T16:34:03Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T22:59:18.756089Z","submitted_at":"2026-04-12T16:34:03Z","title":"Black-white polynomials of graphs and generating functions"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":16},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2604.10719."}