{"as_of":"2026-08-19T16:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:128d9d9de77e57c815ce3905cd6aff4fad8012828138ac04f673fe9790f1f979","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:46:51.220754Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2501.07966/citation-record","integrity":"/paper/2501.07966/integrity","json":"/paper/2501.07966/citation-record.json","paper":"/paper/2501.07966"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.05570","last_updated":"2024-07-07T09:20:54Z","snapshot_observed_at":"2026-08-16T14:36:17.670232Z","submitted_at":"2023-12-09T13:12:29Z","title":"Local times of deterministic paths and self-similar processes with stationary increments as normalized numbers of interval crossings","version":2},"cited_work":{"arxiv_id":"2312.05570","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.05570","snapshot_observed_at":"2026-08-10T20:46:51.292039Z","title":"Local times of deterministic paths and self-similar processes with stationary increments as normalized numbers of interval crossings","venue":"math.PR","work_id":"4002dd49-c776-4d92-a2f4-9e3dd42197e1","year":2023},"citing_paper":{"arxiv_id":"2501.07966","last_updated":"2025-03-12T18:24:50Z","snapshot_observed_at":"2026-08-19T14:50:58.895548Z","submitted_at":"2025-01-14T09:36:10Z","title":"Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)","version":3},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-10T20:46:51.185490Z"},"links":{"cited_paper":"/paper/2312.05570","citing_paper":"/paper/2501.07966"},"observation_digest":"sha256:5ad2fbd8c512e8cfbebd5123308c0be08753eeeba92a7b41ed14d391bddf6b6c","observation_id":"d60069ae-0302-4599-bdc6-4b3f0c8fcdc0","resolution":{"observed_at":"2026-08-10T20:46:51.298263Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:46:51.411990Z","title":null,"venue":null,"work_id":"39feece7-b023-4ce8-bda9-66594e4b45f8","year":1981},"citing_paper":{"arxiv_id":"2501.07966","last_updated":"2025-03-12T18:24:50Z","snapshot_observed_at":"2026-08-19T14:50:58.895548Z","submitted_at":"2025-01-14T09:36:10Z","title":"Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)","version":3},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-10T20:46:51.192528Z"},"links":{"citing_paper":"/paper/2501.07966"},"observation_digest":"sha256:dfe6a63c4ff569d169b68356c4ab1fda6e812500093df59a82df238d81eca2c3","observation_id":"3e236236-91a3-48d2-8307-1a04f014f5eb","resolution":{"observed_at":"2026-08-10T20:46:51.417822Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.08274","last_updated":"2023-08-16T10:30:24Z","snapshot_observed_at":"2026-08-16T15:08:08.291667Z","submitted_at":"2023-08-16T10:30:24Z","title":"Level crossings of fractional Brownian motion","version":1},"cited_work":{"arxiv_id":"2308.08274","doi":null,"metadata_source":"pith","pith_arxiv_id":"2308.08274","snapshot_observed_at":"2026-08-10T20:46:51.260633Z","title":"Level crossings of fractional Brownian motion","venue":"math.PR","work_id":"853dab5d-fc17-47e8-a5be-f4d8d19629f2","year":2023},"citing_paper":{"arxiv_id":"2501.07966","last_updated":"2025-03-12T18:24:50Z","snapshot_observed_at":"2026-08-19T14:50:58.895548Z","submitted_at":"2025-01-14T09:36:10Z","title":"Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)","version":3},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-10T20:46:51.197964Z"},"links":{"cited_paper":"/paper/2308.08274","citing_paper":"/paper/2501.07966"},"observation_digest":"sha256:743e517d77642d1ffd0c5b9137e4d447ea2c8b2095d3bdd48c892a80c31b8344","observation_id":"f8f309e3-d03a-4fb0-82e6-a773131e9fa3","resolution":{"observed_at":"2026-08-10T20:46:51.269112Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:46:51.392220Z","title":null,"venue":null,"work_id":"02d66e83-fb9d-451b-933b-c34b64447b61","year":1975},"citing_paper":{"arxiv_id":"2501.07966","last_updated":"2025-03-12T18:24:50Z","snapshot_observed_at":"2026-08-19T14:50:58.895548Z","submitted_at":"2025-01-14T09:36:10Z","title":"Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)","version":3},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T20:46:51.203496Z"},"links":{"citing_paper":"/paper/2501.07966"},"observation_digest":"sha256:53b55f0273fa64ae33a7df4373b5ee7cd5378b45d4dcd12c080e7622dc086eaf","observation_id":"42721027-0098-4d9e-95ff-5dbf3fe006ce","resolution":{"observed_at":"2026-08-10T20:46:51.398728Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:46:51.368631Z","title":"Lemieux, On the quadratic variation of semimartingales, Master Thesis, The University of British Columbia, https://circle.ubc.ca/handle/2429/23964 (1983)","venue":null,"work_id":"5f469fe9-f323-41f5-996f-cc73377393ef","year":1983},"citing_paper":{"arxiv_id":"2501.07966","last_updated":"2025-03-12T18:24:50Z","snapshot_observed_at":"2026-08-19T14:50:58.895548Z","submitted_at":"2025-01-14T09:36:10Z","title":"Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)","version":3},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T20:46:51.209245Z"},"links":{"citing_paper":"/paper/2501.07966"},"observation_digest":"sha256:eecf70f87b8850fce446dba3b7b16bf219d9b1816ed3c108957c05af85c42829","observation_id":"5cf0a71c-4dc5-438e-afc1-5b9f115109a4","resolution":{"observed_at":"2026-08-10T20:46:51.375420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:46:51.335365Z","title":null,"venue":null,"work_id":"7feee244-9f56-4c70-9d0f-653e3330a711","year":2021},"citing_paper":{"arxiv_id":"2501.07966","last_updated":"2025-03-12T18:24:50Z","snapshot_observed_at":"2026-08-19T14:50:58.895548Z","submitted_at":"2025-01-14T09:36:10Z","title":"Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)","version":3},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-10T20:46:51.214917Z"},"links":{"citing_paper":"/paper/2501.07966"},"observation_digest":"sha256:41e3b74c8aed7453f51d778fd1155ff9e2a7a55ce1b9cfb257deb0bdd0fb3a07","observation_id":"913c1111-458b-4486-be6b-6e5e43974ad1","resolution":{"observed_at":"2026-08-10T20:46:51.343250Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-10T20:46:51.313766Z","title":"Sagan, Space-Filling curves, Universitext, vol","venue":null,"work_id":"e50ff40e-d489-4efa-a6b2-fafcc2ee545e","year":1994},"citing_paper":{"arxiv_id":"2501.07966","last_updated":"2025-03-12T18:24:50Z","snapshot_observed_at":"2026-08-19T14:50:58.895548Z","submitted_at":"2025-01-14T09:36:10Z","title":"Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)","version":3},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-10T20:46:51.220754Z"},"links":{"citing_paper":"/paper/2501.07966"},"observation_digest":"sha256:daaec1c0c1553e27f17b7e85b186fd77c30b48a87beb8167733a55a2d52b27e5","observation_id":"c3bad349-1955-47c9-af3e-a8213d43787a","resolution":{"observed_at":"2026-08-10T20:46:51.319255Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.07966","last_updated":"2025-03-12T18:24:50Z","latest_version":3,"primary_category":"math.CA","snapshot_observed_at":"2026-08-19T14:50:58.895548Z","submitted_at":"2025-01-14T09:36:10Z","title":"Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve)"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":2,"verified_fuzzy":2},"total_outbound_references":7},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2501.07966."}