{"as_of":"2026-08-09T09:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ac6b5ce9c9505065817edaa419ca09591c7197c589ff332a8c370d4b9a1d332d","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":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":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T23:11:22.130434Z","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":"2026-07-08T05:04:31.264345Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.18574","last_updated":"2025-01-30T18:43:18Z","snapshot_observed_at":"2026-08-07T10:57:45.402526Z","submitted_at":"2025-01-30T18:43:18Z","title":"Inductive methods for counting number fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18574","snapshot_observed_at":"2026-08-08T23:11:22.130434Z","title":"Inductive methods for counting number fields","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.04261","last_updated":"2025-04-06T13:12:00Z","snapshot_observed_at":"2026-08-08T22:55:50.599875Z","submitted_at":"2025-02-06T17:47:53Z","title":"Counterexamples for T\\\"urkelli's Modification on Malle's Conjecture","version":2},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-08T23:11:22.130434Z"},"links":{"cited_paper":"/paper/2501.18574","citing_paper":"/paper/2502.04261"},"observation_digest":"sha256:9cb4c94e3085656777621b17b052b9e92df23a0af78ab9c4e516ee007df6a199","observation_id":"97acc78f-3d2b-481f-a2b5-748d075193a7","resolution":{"observed_at":"2026-08-08T23:11:22.130434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18574","last_updated":"2025-01-30T18:43:18Z","snapshot_observed_at":"2026-08-07T10:57:45.402526Z","submitted_at":"2025-01-30T18:43:18Z","title":"Inductive methods for counting number fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18574","snapshot_observed_at":"2026-08-07T12:52:39.182977Z","title":"Alberts, R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.23690","last_updated":"2025-05-30T22:38:52Z","snapshot_observed_at":"2026-08-07T12:37:47.596732Z","submitted_at":"2025-05-29T17:27:32Z","title":"Malle's Conjecture for Galois octic fields over $\\mathbb Q$","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:52:39.182977Z"},"links":{"cited_paper":"/paper/2501.18574","citing_paper":"/paper/2505.23690"},"observation_digest":"sha256:49871a3829e3a83b910a6a5e749d2202a4f8b4390e1ea0914abe547c8ecb393a","observation_id":"bdfb4456-9154-4180-8c73-7510d0b11262","resolution":{"observed_at":"2026-08-07T12:52:39.182977Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18574","last_updated":"2025-01-30T18:43:18Z","snapshot_observed_at":"2026-08-07T10:57:45.402526Z","submitted_at":"2025-01-30T18:43:18Z","title":"Inductive methods for counting number fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18574","snapshot_observed_at":"2026-08-06T21:23:36.901365Z","title":"Alberts, R.J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.00448","last_updated":"2025-07-01T06:00:49Z","snapshot_observed_at":"2026-08-07T10:58:23.226731Z","submitted_at":"2025-07-01T06:00:49Z","title":"Counting abelian number fields with restricted ramification type","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:36.901365Z"},"links":{"cited_paper":"/paper/2501.18574","citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:ae51a1e4ac77ec0b2198851c7da669f2bd06403a18408899809a88892cf5b2bc","observation_id":"ce7a4c18-0286-4b91-9f5d-291a6803348a","resolution":{"observed_at":"2026-08-06T21:23:36.901365Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.18574","last_updated":"2025-01-30T18:43:18Z","snapshot_observed_at":"2026-08-07T10:57:45.402526Z","submitted_at":"2025-01-30T18:43:18Z","title":"Inductive methods for counting number fields","version":1},"cited_work":{"arxiv_id":"2501.18574","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.18574","snapshot_observed_at":"2026-07-08T05:04:31.264345Z","title":"[AO21] Brandon Alberts and Evan O’Dorney","venue":"math.NT","work_id":"956af67c-f06d-4eb2-b3cc-e3e0b2fa919b","year":2025},"citing_paper":{"arxiv_id":"2602.23619","last_updated":"2026-05-21T23:08:02Z","snapshot_observed_at":"2026-07-06T22:47:15.482910Z","submitted_at":"2026-02-27T02:50:28Z","title":"Counting number fields using multiple Dirichlet series","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-25T06:48:33.477447Z"},"links":{"cited_paper":"/paper/2501.18574","citing_paper":"/paper/2602.23619"},"observation_digest":"sha256:4612daed691eb8c2892581a1480800c0a6c1fbfb7dcef49453d89efbed6854ef","observation_id":"40153d25-bb51-4a8b-a625-28d472502a04","resolution":{"observed_at":"2026-05-25T06:50:28.391869Z","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":"2501.18574","last_updated":"2025-01-30T18:43:18Z","snapshot_observed_at":"2026-08-07T10:57:45.402526Z","submitted_at":"2025-01-30T18:43:18Z","title":"Inductive methods for counting number fields","version":1},"cited_work":{"arxiv_id":"2501.18574","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.18574","snapshot_observed_at":"2026-07-08T05:04:31.264345Z","title":"[AO21] Brandon Alberts and Evan O’Dorney","venue":"math.NT","work_id":"956af67c-f06d-4eb2-b3cc-e3e0b2fa919b","year":2025},"citing_paper":{"arxiv_id":"2606.04983","last_updated":"2026-06-03T15:05:24Z","snapshot_observed_at":"2026-08-02T23:39:36.043023Z","submitted_at":"2026-06-03T15:05:24Z","title":"The leading constant in Malle's conjecture","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T04:20:00.139241Z"},"links":{"cited_paper":"/paper/2501.18574","citing_paper":"/paper/2606.04983"},"observation_digest":"sha256:8c151af45931ffd7eff801a1239172daab18cd2e4fde16e78a8685a7ce56aafc","observation_id":"7748b1e1-4392-452e-a2d5-214ae91df3ec","resolution":{"observed_at":"2026-07-02T11:16:53.589759Z","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":"2501.18574","last_updated":"2025-01-30T18:43:18Z","snapshot_observed_at":"2026-08-07T10:57:45.402526Z","submitted_at":"2025-01-30T18:43:18Z","title":"Inductive methods for counting number fields","version":1},"cited_work":{"arxiv_id":"2501.18574","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.18574","snapshot_observed_at":"2026-07-08T05:04:31.264345Z","title":"[AO21] Brandon Alberts and Evan O’Dorney","venue":"math.NT","work_id":"956af67c-f06d-4eb2-b3cc-e3e0b2fa919b","year":2025},"citing_paper":{"arxiv_id":"2607.06476","last_updated":"2026-07-17T18:50:55Z","snapshot_observed_at":"2026-08-09T07:32:13.319111Z","submitted_at":"2026-07-07T16:31:21Z","title":"A refined Malle conjecture for Heisenberg groups","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-08T05:03:55.710210Z"},"links":{"cited_paper":"/paper/2501.18574","citing_paper":"/paper/2607.06476"},"observation_digest":"sha256:771424e37d24c6d9f4a32d79d337f264e6521eacd47c1369e0bb077918efb878","observation_id":"9d8c3569-33bc-4ac8-bf8f-98f7425448b4","resolution":{"observed_at":"2026-07-08T05:04:31.266073Z","resolver_source":"local_arxiv","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":"2501.18574","last_updated":"2025-01-30T18:43:18Z","snapshot_observed_at":"2026-08-07T10:57:45.402526Z","submitted_at":"2025-01-30T18:43:18Z","title":"Inductive methods for counting number fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.18574","snapshot_observed_at":"2026-08-02T08:20:53.932040Z","title":"[Bha05] Manjul Bhargava","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.06476","last_updated":"2026-07-17T18:50:55Z","snapshot_observed_at":"2026-08-09T07:32:13.319111Z","submitted_at":"2026-07-07T16:31:21Z","title":"A refined Malle conjecture for Heisenberg groups","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-02T08:20:53.932040Z"},"links":{"cited_paper":"/paper/2501.18574","citing_paper":"/paper/2607.06476"},"observation_digest":"sha256:657ed4d724be73c6c21ea773bfc9e828e04d5c9b946fb9815c1709fb4f2bb551","observation_id":"d3cec2bf-c2c9-4999-9d5d-8598b0798ca1","resolution":{"observed_at":"2026-08-02T08:20:53.932040Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2501.18574/citation-record","integrity":"/paper/2501.18574/integrity","json":"/paper/2501.18574/citation-record.json","paper":"/paper/2501.18574"},"outbound":[],"paper":{"arxiv_id":"2501.18574","last_updated":"2025-01-30T18:43:18Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-07T10:57:45.402526Z","submitted_at":"2025-01-30T18:43:18Z","title":"Inductive methods for counting number fields"},"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 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2501.18574."}