{"as_of":"2026-08-16T14:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9cf029da77906d6edb17c5e5f5f6887551e6821286d7d0941f1e23a467e7aabb","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":"2026-08-14T13:05:24.649800Z","state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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":"2026-08-14T12:20:47.776284Z","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":"2026-08-14T12:20:47.945412Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"cited_work":{"arxiv_id":"1908.06145","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.06145","snapshot_observed_at":"2026-08-14T12:20:47.945412Z","title":"Very badly ordered cycles of interval maps","venue":"math.DS","work_id":"2c5c99cc-0f71-4c1f-8231-8bb8ddd2e5ed","year":2019},"citing_paper":{"arxiv_id":"1908.07635","last_updated":"2019-08-20T22:29:13Z","snapshot_observed_at":"2026-08-16T05:21:08.653938Z","submitted_at":"2019-08-20T22:29:13Z","title":"Over-rotation intervals of bimodal interval maps","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T12:20:47.776284Z"},"links":{"cited_paper":"/paper/1908.06145","citing_paper":"/paper/1908.07635"},"observation_digest":"sha256:7c5fa3fd83acb0ab3dfaf14b7a48128b7f05e198e47cbc32b3c2d935976b6c3a","observation_id":"20259ff9-ac8d-4d24-9dab-e1a367ac2525","resolution":{"observed_at":"2026-08-14T12:20:47.952151Z","resolver_source":"local_arxiv","status":"verified_exact"},"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"}}],"links":{"evidence":"/evidence","html":"/paper/1908.06145/citation-record","integrity":"/paper/1908.06145/integrity","json":"/paper/1908.06145/citation-record.json","paper":"/paper/1908.06145"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:05:24.619628Z","title":"Alseda, J","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T13:05:24.619628Z"},"links":{"citing_paper":"/paper/1908.06145"},"observation_digest":"sha256:9a91f4f7e9cc654ff87d43e898965897f369cb9e191859690c04837cd4336d98","observation_id":"0bb6aaf0-7f3a-4a96-9bd3-fbd91e089149","resolution":{"observed_at":"2026-08-14T13:05:24.619628Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:05:24.623794Z","title":"Alsed\\` a , J","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-14T13:05:24.623794Z"},"links":{"citing_paper":"/paper/1908.06145"},"observation_digest":"sha256:c99ef34007601c79462cc7cbfe6ea9afbaf1f20177ef1e88d2fcf6c64b3597f2","observation_id":"85672b30-9ff4-46b1-8acd-6cf735268805","resolution":{"observed_at":"2026-08-14T13:05:24.623794Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:05:24.627520Z","title":"67 (1987), 111--127","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-14T13:05:24.627520Z"},"links":{"citing_paper":"/paper/1908.06145"},"observation_digest":"sha256:76572699224b343936ab327efef66766d039d3178466a41aa69d2e9cf89c8512","observation_id":"41c3a688-1781-4394-932e-25a158730d9a","resolution":{"observed_at":"2026-08-14T13:05:24.627520Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:05:24.631661Z","title":"Blokh, M","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-14T13:05:24.631661Z"},"links":{"citing_paper":"/paper/1908.06145"},"observation_digest":"sha256:79a0be0ec7c6de400858b9b435560cb817e2754659ef0cb3ab4fc6184581628c","observation_id":"37c0fbda-9097-4788-a58e-8b0426266f1a","resolution":{"observed_at":"2026-08-14T13:05:24.631661Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:05:24.713064Z","title":"Blokh, M","venue":null,"work_id":"b3f545c7-86b2-47b7-adaf-1a19ad011704","year":1999},"citing_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-14T13:05:24.635390Z"},"links":{"citing_paper":"/paper/1908.06145"},"observation_digest":"sha256:7b642c4725d68ffb7b56bb7a0776d0aecd078118c5f718e3843de6f631c44b94","observation_id":"80280121-197d-430d-8d94-b363d3a1bbfa","resolution":{"observed_at":"2026-08-14T13:05:24.717357Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:05:24.639447Z","title":"Blokh, K","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-14T13:05:24.639447Z"},"links":{"citing_paper":"/paper/1908.06145"},"observation_digest":"sha256:7928bdbef737b1c94471974514ec42eca8a627ee75e1e06513d43311a7d121cd","observation_id":"8727acdb-858c-4817-9885-b11cebc1b67c","resolution":{"observed_at":"2026-08-14T13:05:24.639447Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:05:24.694657Z","title":"Bobok and M","venue":null,"work_id":"fa8a2572-c844-41bf-85f7-51c1a38b37d9","year":1998},"citing_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-14T13:05:24.643267Z"},"links":{"citing_paper":"/paper/1908.06145"},"observation_digest":"sha256:891c55c595057e1d6f7d0cdeb54e43c4d0307239b2cdcc444f13bf6915fa6123","observation_id":"d530fb40-182f-47d0-8bdd-c078fcb81675","resolution":{"observed_at":"2026-08-14T13:05:24.697870Z","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":"2026-08-14T13:05:24.683437Z","title":"Bobok and M","venue":null,"work_id":"31ae6686-2a09-4e02-aff4-6b01369f82f5","year":1990},"citing_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-14T13:05:24.646456Z"},"links":{"citing_paper":"/paper/1908.06145"},"observation_digest":"sha256:8cf6a6fdeec0b09583ab4613602477ee3782d2c2c4215517f7c4711a3571807c","observation_id":"1c549a63-3eb9-4fba-8dfc-ef496ae067f3","resolution":{"observed_at":"2026-08-14T13:05:24.687697Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:05:24.649800Z","title":null,"venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-14T13:05:24.649800Z"},"links":{"citing_paper":"/paper/1908.06145"},"observation_digest":"sha256:f95b1654d345672200552302d1e06975b724b09e336af068866f6714c778fe71","observation_id":"500438ba-aadd-4f8f-a1a0-97e6be6adc71","resolution":{"observed_at":"2026-08-14T13:05:24.649800Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1908.06145","last_updated":"2019-11-29T17:00:39Z","latest_version":2,"primary_category":"math.DS","snapshot_observed_at":"2026-08-14T12:52:16.398550Z","submitted_at":"2019-08-16T19:50:07Z","title":"Very badly ordered cycles of interval maps"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":3},"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 1 inbound Pith citation observation for arXiv:1908.06145."}