{"as_of":"2026-08-16T18:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:252fe9e15df0856ba0e6a1e066f214f92083f409c4ca9e5e00a490ab6207849c","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:58:12.851478Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.08103/citation-record","integrity":"/paper/1908.08103/integrity","json":"/paper/1908.08103/citation-record.json","paper":"/paper/1908.08103"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:58:12.974229Z","title":"Birmajer, J","venue":null,"work_id":"ba2787b6-0ba8-40b2-9089-34860ecef062","year":2019},"citing_paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:12.816250Z"},"links":{"citing_paper":"/paper/1908.08103"},"observation_digest":"sha256:a20cfd4796c0195ef36c5c722a5b18edc2bb8b74062608dd2b6988a5d7416c0d","observation_id":"4f281335-2b9b-4bd9-a0c2-3643bed24bfd","resolution":{"observed_at":"2026-08-14T11:58:12.977987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:58:12.963174Z","title":"Birmajer, J","venue":null,"work_id":"d7c71d01-b3f7-42cc-bd5b-a6868036a0e4","year":2019},"citing_paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:12.821165Z"},"links":{"citing_paper":"/paper/1908.08103"},"observation_digest":"sha256:15c5b4cc0a9b22d3cd55cbac2b719347b64bd5fd2c1b1900d4e5f218495f7990","observation_id":"9611e2eb-a362-49ef-a426-d8ff746a3d26","resolution":{"observed_at":"2026-08-14T11:58:12.966700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:58:12.951210Z","title":"Bonichon, C","venue":null,"work_id":"4a5e5e31-eb84-494b-aead-4f8f4eb2a95e","year":2005},"citing_paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:12.825361Z"},"links":{"citing_paper":"/paper/1908.08103"},"observation_digest":"sha256:4169fe895d5bed32678c6c0552f68d99f261f7f1c0322dd60e73665993320042","observation_id":"0da20d66-6f17-4bf5-ab3b-0b8564b8a9d4","resolution":{"observed_at":"2026-08-14T11:58:12.955071Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:58:12.940219Z","title":"Geﬀner and M","venue":null,"work_id":"58d2be53-daef-4b2e-99a9-fcdfda443be1","year":2017},"citing_paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:12.829241Z"},"links":{"citing_paper":"/paper/1908.08103"},"observation_digest":"sha256:f4f50c656fa0bbe9ff3c6ccee729e6601fd9897cbaf9ea15775a0a157415cd02","observation_id":"a29bf779-e446-4755-aaa3-dd6e81ee2f55","resolution":{"observed_at":"2026-08-14T11:58:12.943789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:58:12.928683Z","title":null,"venue":null,"work_id":"54f4da30-0ad1-459a-ab85-f0cf9e16418f","year":1968},"citing_paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:12.833385Z"},"links":{"citing_paper":"/paper/1908.08103"},"observation_digest":"sha256:870751bb53746c2b8587e9f15175f25dc009a26f4c22997a25bff23f48c38cfd","observation_id":"a8bc6f6c-51cb-4f75-ba29-4a0e042d4321","resolution":{"observed_at":"2026-08-14T11:58:12.932383Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:58:12.916536Z","title":null,"venue":null,"work_id":"88f34913-327a-4c6a-8dbb-7c2ebe27827a","year":2019},"citing_paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:12.838030Z"},"links":{"citing_paper":"/paper/1908.08103"},"observation_digest":"sha256:9b98b3578b5f3249fd5bf419d193654eeba16b1ba5fd0ff74354f299324b18f5","observation_id":"ffee0d21-9266-4a5f-9055-f29ac1174e2d","resolution":{"observed_at":"2026-08-14T11:58:12.920535Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:58:12.904828Z","title":"Schr¨ oder, Vier kombinatorische Probleme, Z","venue":null,"work_id":"eac9bf58-beda-42db-8a5b-47e11fe4c4ce","year":null},"citing_paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:12.843290Z"},"links":{"citing_paper":"/paper/1908.08103"},"observation_digest":"sha256:f42d05fd0967ce0c22459fcb47b037c3f9a2f864a966db259f4b03785d541d6c","observation_id":"02b9c155-c83e-44e9-9f5b-61b0a870bf16","resolution":{"observed_at":"2026-08-14T11:58:12.908961Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:58:12.891799Z","title":"Schr¨ oder, Generalized Schrder numbers and the rotation p rinciple, J","venue":null,"work_id":"1cfb0e9f-c459-4e26-956f-7923b9a4b357","year":2007},"citing_paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:12.847434Z"},"links":{"citing_paper":"/paper/1908.08103"},"observation_digest":"sha256:1c195bc0bb646f24c98e61cda9b6ae3c3006cc30c2fcae927ce89456bb2bbb2c","observation_id":"19a2e515-9137-4487-9537-52e8fad97ab1","resolution":{"observed_at":"2026-08-14T11:58:12.896732Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T11:58:12.878386Z","title":null,"venue":null,"work_id":"bae1ce03-2df7-42bd-a7b3-43681779d05a","year":1997},"citing_paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:58:12.851478Z"},"links":{"citing_paper":"/paper/1908.08103"},"observation_digest":"sha256:7cbcf729385c68fa572e1dc9380868c1d014516158e564cf5d0ca8c222888a81","observation_id":"3c831fc2-27f0-4016-a051-f0493c2e2b47","resolution":{"observed_at":"2026-08-14T11:58:12.883416Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.08103","last_updated":"2019-08-21T20:07:37Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T07:37:45.043801Z","submitted_at":"2019-08-21T20:07:37Z","title":"Schr\\\"oder Coloring and Applications"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":6},"total_outbound_references":9},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:1908.08103."}