{"as_of":"2026-08-10T02:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:04416b037046b396659a87bc6f3805192c5283995b548e602e6de87abee29ceb","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T07:23:08.945245Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T06:56:43.915880Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.06256","last_updated":"2025-03-08T15:58:54Z","snapshot_observed_at":"2026-08-07T17:20:04.057452Z","submitted_at":"2025-03-08T15:58:54Z","title":"The distribution of partial sums of random multiplicative functions with a large prime factor","version":1},"cited_work":{"arxiv_id":"2503.06256","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.06256","snapshot_observed_at":"2026-07-02T06:56:43.915880Z","title":"arXiv preprint arXiv:2503.06256 , year =","venue":null,"work_id":"b0700fb2-16aa-44f7-aba1-b32cb9e7735f","year":2025},"citing_paper":{"arxiv_id":"2605.21737","last_updated":"2026-05-22T23:49:37Z","snapshot_observed_at":"2026-08-03T03:10:44.729204Z","submitted_at":"2026-05-20T21:01:44Z","title":"Escaping Chaos in Random Multiplicative Functions","version":1},"reference_index":140,"source":"arxiv_source","source_observed_at":"2026-05-22T08:32:26.667981Z"},"links":{"cited_paper":"/paper/2503.06256","citing_paper":"/paper/2605.21737"},"observation_digest":"sha256:f6fefb6a52ebbf628bd781dd4056d5cdd3abf3a52267705acde54e8d08befe29","observation_id":"893ca4c1-64be-4114-9648-42db7a1e9d96","resolution":{"observed_at":"2026-05-22T08:34:45.148223Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.06256","last_updated":"2025-03-08T15:58:54Z","snapshot_observed_at":"2026-08-07T17:20:04.057452Z","submitted_at":"2025-03-08T15:58:54Z","title":"The distribution of partial sums of random multiplicative functions with a large prime factor","version":1},"cited_work":{"arxiv_id":"2503.06256","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.06256","snapshot_observed_at":"2026-07-02T06:56:43.915880Z","title":"arXiv preprint arXiv:2503.06256 , year =","venue":null,"work_id":"b0700fb2-16aa-44f7-aba1-b32cb9e7735f","year":2025},"citing_paper":{"arxiv_id":"2605.21737","last_updated":"2026-05-22T23:49:37Z","snapshot_observed_at":"2026-08-03T03:10:44.729204Z","submitted_at":"2026-05-20T21:01:44Z","title":"Escaping Chaos in Random Multiplicative Functions","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-30T16:46:52.065628Z"},"links":{"cited_paper":"/paper/2503.06256","citing_paper":"/paper/2605.21737"},"observation_digest":"sha256:17ef0d93cb5e7c98b85bb0f8de880b0ca22d8ee852d6f8f94d2ee9032c38ef7d","observation_id":"ff6701dc-add5-4ef9-b1e1-4d73820d129e","resolution":{"observed_at":"2026-06-30T16:54:59.078527Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.06256","last_updated":"2025-03-08T15:58:54Z","snapshot_observed_at":"2026-08-07T17:20:04.057452Z","submitted_at":"2025-03-08T15:58:54Z","title":"The distribution of partial sums of random multiplicative functions with a large prime factor","version":1},"cited_work":{"arxiv_id":"2503.06256","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.06256","snapshot_observed_at":"2026-07-02T06:56:43.915880Z","title":"arXiv preprint arXiv:2503.06256 , year =","venue":null,"work_id":"b0700fb2-16aa-44f7-aba1-b32cb9e7735f","year":2025},"citing_paper":{"arxiv_id":"2606.29040","last_updated":"2026-06-27T18:26:05Z","snapshot_observed_at":"2026-07-07T00:03:02.476882Z","submitted_at":"2026-06-27T18:26:05Z","title":"Distribution of random multiplicative functions in short intervals, with proper normalization","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-30T08:21:56.851273Z"},"links":{"cited_paper":"/paper/2503.06256","citing_paper":"/paper/2606.29040"},"observation_digest":"sha256:bfdfb170cf1338fe4f4e7069cde446de36cd858af2b1fbdefc9e6b364e2df39a","observation_id":"ca45d995-1851-48d5-91e1-387dcb2e2ac8","resolution":{"observed_at":"2026-06-30T08:24:26.361872Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.06256","last_updated":"2025-03-08T15:58:54Z","snapshot_observed_at":"2026-08-07T17:20:04.057452Z","submitted_at":"2025-03-08T15:58:54Z","title":"The distribution of partial sums of random multiplicative functions with a large prime factor","version":1},"cited_work":{"arxiv_id":"2503.06256","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.06256","snapshot_observed_at":"2026-07-02T06:56:43.915880Z","title":"arXiv preprint arXiv:2503.06256 , year =","venue":null,"work_id":"b0700fb2-16aa-44f7-aba1-b32cb9e7735f","year":2025},"citing_paper":{"arxiv_id":"2607.01184","last_updated":"2026-07-01T17:17:10Z","snapshot_observed_at":"2026-08-09T00:04:09.630334Z","submitted_at":"2026-07-01T17:17:10Z","title":"Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-02T06:43:58.167358Z"},"links":{"cited_paper":"/paper/2503.06256","citing_paper":"/paper/2607.01184"},"observation_digest":"sha256:c4da84ae498005da103db7b856e7578b35fad74208975f2cb51e7ac8eed8c3bf","observation_id":"7ee0b031-fb36-40bf-9ccd-38ada2b40733","resolution":{"observed_at":"2026-07-02T06:56:43.917512Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.06256","last_updated":"2025-03-08T15:58:54Z","snapshot_observed_at":"2026-08-07T17:20:04.057452Z","submitted_at":"2025-03-08T15:58:54Z","title":"The distribution of partial sums of random multiplicative functions with a large prime factor","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.06256","snapshot_observed_at":"2026-08-03T07:23:08.945245Z","title":"Hardy,The distribution of partial sums of random multiplicative functions with a large prime factor, arXiv:2503.06256v1 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.29429","last_updated":"2026-07-31T13:51:06Z","snapshot_observed_at":"2026-08-08T03:51:56.768388Z","submitted_at":"2026-07-31T13:51:06Z","title":"A sharp almost sure upper bound for partial sums of random multiplicative functions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T07:23:08.945245Z"},"links":{"cited_paper":"/paper/2503.06256","citing_paper":"/paper/2607.29429"},"observation_digest":"sha256:9843cf255e718ad2f82d03651580f173cd213eb43b43fbcd796d3ebfd139f214","observation_id":"4eaac378-3a63-41a4-9162-6add1e95d123","resolution":{"observed_at":"2026-08-03T07:23:08.945245Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2503.06256/citation-record","integrity":"/paper/2503.06256/integrity","json":"/paper/2503.06256/citation-record.json","paper":"/paper/2503.06256"},"outbound":[],"paper":{"arxiv_id":"2503.06256","last_updated":"2025-03-08T15:58:54Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-07T17:20:04.057452Z","submitted_at":"2025-03-08T15:58:54Z","title":"The distribution of partial sums of random multiplicative functions with a large prime factor"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2503.06256."}