{"as_of":"2026-08-11T11:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9fe6aa6e0a4a34f6941bb63b7b1f2f9df81cb4f6f1208d878d912ab191ce3d16","coverage":[{"denominator":5,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T10:46:04.613018Z","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":"2026-08-11T06:34:44.6726+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/2507.23681/citation-record","integrity":"/paper/2507.23681/integrity","json":"/paper/2507.23681/citation-record.json","paper":"/paper/2507.23681"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2407.11943","last_updated":"2024-07-16T17:34:28Z","snapshot_observed_at":"2026-08-10T14:27:01.128028Z","submitted_at":"2024-07-16T17:34:28Z","title":"Horofunctions on the Heisenberg and Cartan groups","version":1},"cited_work":{"arxiv_id":"2407.11943","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.11943","snapshot_observed_at":"2026-08-06T10:46:05.003055Z","title":"Horofunctions on the Heisenberg and Cartan groups","venue":"math.GR","work_id":"907a026a-527e-4309-9d4f-442c484844f4","year":2024},"citing_paper":{"arxiv_id":"2507.23681","last_updated":"2025-07-31T15:57:18Z","snapshot_observed_at":"2026-08-11T05:14:22.894630Z","submitted_at":"2025-07-31T15:57:18Z","title":"Horofunctions of infinite Sierpinski polygon graphs","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T10:46:04.590962Z"},"links":{"cited_paper":"/paper/2407.11943","citing_paper":"/paper/2507.23681"},"observation_digest":"sha256:120990e981e1e7f9944bdc3b2f4ff817fba8622bc461da55d2c5c58a1644202d","observation_id":"5da8d8d0-cebb-4e82-a8d8-1aad96a757a8","resolution":{"observed_at":"2026-08-06T10:46:05.010285Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bfb0092577","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Horofunctions on sierpinski type triangles","venue":"Lecture notes in mathematics","work_id":"b80d8942-d35d-4687-85b4-c3609f04fbc4","year":2016},"citing_paper":{"arxiv_id":"2507.23681","last_updated":"2025-07-31T15:57:18Z","snapshot_observed_at":"2026-08-11T05:14:22.894630Z","submitted_at":"2025-07-31T15:57:18Z","title":"Horofunctions of infinite Sierpinski polygon graphs","version":1},"reference_index":1539,"source":"pdf_text","source_observed_at":"2026-08-06T10:46:04.596907Z"},"links":{"citing_paper":"/paper/2507.23681"},"observation_digest":"sha256:31d20bf816871374340a898b749bc43173960debe16d8a050af1052c588b1e62","observation_id":"b0580331-0072-4a5f-afd4-3f5f684bacc9","resolution":{"observed_at":"2026-08-06T10:46:04.891449Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1503.04577","last_updated":"2015-03-16T09:29:50Z","snapshot_observed_at":"2026-08-09T16:56:57.286858Z","submitted_at":"2015-03-16T09:29:50Z","title":"Gromov boundaries as Markov compacta","version":1},"cited_work":{"arxiv_id":"1503.04577","doi":null,"metadata_source":"pith","pith_arxiv_id":"1503.04577","snapshot_observed_at":"2026-08-06T10:46:04.937874Z","title":"Gromov boundaries as Markov compacta","venue":"math.GT","work_id":"df0527aa-5a74-4963-ac2b-54e7d5d11772","year":2015},"citing_paper":{"arxiv_id":"2507.23681","last_updated":"2025-07-31T15:57:18Z","snapshot_observed_at":"2026-08-11T05:14:22.894630Z","submitted_at":"2025-07-31T15:57:18Z","title":"Horofunctions of infinite Sierpinski polygon graphs","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-06T10:46:04.607364Z"},"links":{"cited_paper":"/paper/1503.04577","citing_paper":"/paper/2507.23681"},"observation_digest":"sha256:7ef35d2fd3c4bfed1a8ec92915e3cf92cd332e6799dea9c0e9934a25a0185cc0","observation_id":"1036d7cb-52f3-4a20-88ac-033453ca1a94","resolution":{"observed_at":"2026-08-06T10:46:04.943106Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.09852","last_updated":"2023-03-17T09:19:07Z","snapshot_observed_at":"2026-08-10T01:48:43.491551Z","submitted_at":"2023-03-17T09:19:07Z","title":"Rationality of the Gromov Boundary of Hyperbolic Groups","version":1},"cited_work":{"arxiv_id":"2303.09852","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.09852","snapshot_observed_at":"2026-08-06T10:46:04.911828Z","title":"Rationality of the Gromov Boundary of Hyperbolic Groups","venue":"math.GR","work_id":"15fed796-a3d2-4b47-acd1-944211c950b5","year":2023},"citing_paper":{"arxiv_id":"2507.23681","last_updated":"2025-07-31T15:57:18Z","snapshot_observed_at":"2026-08-11T05:14:22.894630Z","submitted_at":"2025-07-31T15:57:18Z","title":"Horofunctions of infinite Sierpinski polygon graphs","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-06T10:46:04.613018Z"},"links":{"cited_paper":"/paper/2303.09852","citing_paper":"/paper/2507.23681"},"observation_digest":"sha256:773f44891c96fa229054928bde694bcf347563adf561425a7d64fe701e994615","observation_id":"d324ba51-6320-4ffd-953d-c0b0379c6b50","resolution":{"observed_at":"2026-08-06T10:46:04.917600Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.14791","last_updated":"2024-11-22T08:22:40Z","snapshot_observed_at":"2026-08-04T13:27:57.424763Z","submitted_at":"2024-11-22T08:22:40Z","title":"The independence polynomial on recursive sequences of graphs","version":1},"cited_work":{"arxiv_id":"2411.14791","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.14791","snapshot_observed_at":"2026-08-06T10:46:04.968830Z","title":"The independence polynomial on recursive sequences of graphs","venue":"math.DS","work_id":"06ef23e1-edea-4f43-8e9a-9c5bed368a1b","year":2024},"citing_paper":{"arxiv_id":"2507.23681","last_updated":"2025-07-31T15:57:18Z","snapshot_observed_at":"2026-08-11T05:14:22.894630Z","submitted_at":"2025-07-31T15:57:18Z","title":"Horofunctions of infinite Sierpinski polygon graphs","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-06T10:46:04.602205Z"},"links":{"cited_paper":"/paper/2411.14791","citing_paper":"/paper/2507.23681"},"observation_digest":"sha256:829d33f92d8de0d61864b6cfde319322d41d8fbfb4f515fa3f9ef8c1fed39ce7","observation_id":"344e0b1b-e4b2-46c8-b8d1-b42ff1e4e6ff","resolution":{"observed_at":"2026-08-06T10:46:04.975824Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.23681","last_updated":"2025-07-31T15:57:18Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-11T05:14:22.894630Z","submitted_at":"2025-07-31T15:57:18Z","title":"Horofunctions of infinite Sierpinski polygon graphs"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":0,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":5},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2507.23681."}