{"as_of":"2026-08-08T18:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d531ad24e9b8eaf34830fca1fd1954add39bdb8f125ba7898e2e788c64437d43","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:23:40.331594Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T08:20:53.959211Z","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":"2026-07-08T05:04:31.270786Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_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},"cited_work":{"arxiv_id":"2507.00448","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.00448","snapshot_observed_at":"2026-07-08T05:04:31.270786Z","title":"Counting abelian number fields with restricted ramification type","venue":"math.NT","work_id":"4ca127d7-675e-4baa-87ea-713644ce6eac","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":74,"source":"pdf_text","source_observed_at":"2026-06-28T04:20:00.139241Z"},"links":{"cited_paper":"/paper/2507.00448","citing_paper":"/paper/2606.04983"},"observation_digest":"sha256:51cafb84d8a9ea2e7215896626b4aab498e8796213d22a69398599393ea1b27e","observation_id":"b90faca8-49af-4cc4-9ccc-63dc8346db5b","resolution":{"observed_at":"2026-07-02T11:16:53.611046Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":"2507.00448","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.00448","snapshot_observed_at":"2026-07-08T05:04:31.270786Z","title":"Counting abelian number fields with restricted ramification type","venue":"math.NT","work_id":"4ca127d7-675e-4baa-87ea-713644ce6eac","year":2025},"citing_paper":{"arxiv_id":"2607.06476","last_updated":"2026-07-17T18:50:55Z","snapshot_observed_at":"2026-08-02T16:12:01.618802Z","submitted_at":"2026-07-07T16:31:21Z","title":"A refined Malle conjecture for Heisenberg groups","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-08T05:03:55.710210Z"},"links":{"cited_paper":"/paper/2507.00448","citing_paper":"/paper/2607.06476"},"observation_digest":"sha256:04389adfce123c3c6dc68efc11973df8f29d29e748b8344242df12799aed63e8","observation_id":"5f7f3897-8b2c-4fc0-8bd4-2fb20471e503","resolution":{"observed_at":"2026-07-08T05:04:31.272145Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.00448","snapshot_observed_at":"2026-08-02T08:20:53.959211Z","title":"[Wan48] Shianghaw Wang","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.06476","last_updated":"2026-07-17T18:50:55Z","snapshot_observed_at":"2026-08-02T16:12:01.618802Z","submitted_at":"2026-07-07T16:31:21Z","title":"A refined Malle conjecture for Heisenberg groups","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T08:20:53.959211Z"},"links":{"cited_paper":"/paper/2507.00448","citing_paper":"/paper/2607.06476"},"observation_digest":"sha256:bb58ffb00078325d54d8e8f6a1d6ee5728e653458634d8ac3bf92c129fda27f6","observation_id":"6cebec05-f9ad-4c55-bbff-f1eefe46fd8b","resolution":{"observed_at":"2026-08-02T08:20:53.959211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.00448/citation-record","integrity":"/paper/2507.00448/integrity","json":"/paper/2507.00448/citation-record.json","paper":"/paper/2507.00448"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2304.01323","last_updated":"2023-04-03T19:41:08Z","snapshot_observed_at":"2026-08-07T10:58:24.177360Z","submitted_at":"2023-04-03T19:41:08Z","title":"A Random Group with Local Data Realizing Heuristics for Number Field Counting","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.01323","snapshot_observed_at":"2026-08-06T21:23:36.661779Z","title":"Alberts, A random group with local data realizing heuristics for number field counting, 2023, arXiv:2304.01323","venue":null,"work_id":null,"year":2023},"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":1,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:36.661779Z"},"links":{"cited_paper":"/paper/2304.01323","citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:d5616cf45b1b086305ebda647eaa9aa0657493794baa5c7275be1b458240c434","observation_id":"85c9c443-e4d0-4a0a-8535-74833c5887d1","resolution":{"observed_at":"2026-08-06T21:23:36.661779Z","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":"2026-08-06T21:23:46.661300Z","title":"Alberts and E","venue":null,"work_id":"e1099d10-0321-4fa4-837a-2ec3b693e26c","year":2021},"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":2,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:36.777840Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:be2804ed72cd222ad273d21e11ff8c8b5ec2bef272c0f6dfe930417f477b8075","observation_id":"a3a55e35-da9f-45ef-9436-a6e6cb01b2b8","resolution":{"observed_at":"2026-08-06T21:23:46.800518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:36.901365Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:23:46.314209Z","title":"Bhargava,The density of discriminants of quartic rings and fields, Ann","venue":null,"work_id":"32274054-a32c-4b31-a875-4fc911ccc34f","year":2005},"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":4,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:37.023398Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:68a631aadbbd63c21d6ca99fc99db57845f901a8d139ce6d8337d2c0212644d2","observation_id":"bbf40b3d-a9c5-4687-b181-922554bf6fa9","resolution":{"observed_at":"2026-08-06T21:23:46.517435Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:45.979281Z","title":null,"venue":null,"work_id":"5e661813-de14-469c-b154-3798c0c9a315","year":2007},"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":5,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:37.164662Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:ebd7852a3fcf6a075abb865334044925b32877ce948eff0ab9c1c91a5b99fac5","observation_id":"16394b77-3f76-4d35-8f8c-edfdab3ee872","resolution":{"observed_at":"2026-08-06T21:23:46.147374Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:45.690259Z","title":"of Math172 (2010), no","venue":null,"work_id":"203860a3-db8d-4cad-ac25-d1cb6468d09e","year":2010},"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":6,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:37.324921Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:66caf834625cf7afbb7fb64a8ab1eebbd22b73c09f70bc9196348eac0a3ffb0c","observation_id":"54d09927-7fee-438a-a6d5-f16b78f2408e","resolution":{"observed_at":"2026-08-06T21:23:45.818561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:37.399921Z","title":"Bhargava, A","venue":null,"work_id":null,"year":2015},"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":7,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:37.399921Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:56ea51128abac2037f7e458ad5cd02f7c98870409ca50c06bf9a6af10c715676","observation_id":"c24a5f1f-540e-4173-aabb-608264094266","resolution":{"observed_at":"2026-08-06T21:23:37.399921Z","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":"2026-08-06T21:23:45.371587Z","title":"Darda and T","venue":null,"work_id":"6f3af255-87b4-497b-96f4-b92911ddde17","year":2023},"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":8,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:37.526587Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:5e8f01c6f606fe8eb24281c6c9334fe5aefedd996e92eb3de2223378a44a5736","observation_id":"560b0ca8-59d5-4fd4-8d72-56bf74800311","resolution":{"observed_at":"2026-08-06T21:23:45.552474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.03645","last_updated":"2024-01-10T23:27:52Z","snapshot_observed_at":"2026-08-03T02:01:04.728822Z","submitted_at":"2022-07-08T02:02:15Z","title":"The Batyrev-Manin conjecture for DM stacks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.03645","snapshot_observed_at":"2026-08-06T21:23:37.661529Z","title":null,"venue":null,"work_id":null,"year":2024},"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":9,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:37.661529Z"},"links":{"cited_paper":"/paper/2207.03645","citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:4d521a5819b549f187a7d5358b5c8c67bb6e7970ba5b5f2c595e5266e3e4ea46","observation_id":"5c20d153-f6e8-4722-8a1f-dfa348cf991e","resolution":{"observed_at":"2026-08-06T21:23:37.661529Z","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":"2026-08-06T21:23:45.072726Z","title":"Délange,Généralisation du théorème de Ikehara, Ann","venue":null,"work_id":"619557a9-02e6-45f0-87bc-0070f5c8bdc9","year":1954},"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":10,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:37.766143Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:2d5be19d3dfd090f6222f54101d61676969528726041652d9efad6cd2a767951","observation_id":"337e0593-a6fc-477c-b004-e7c03f88139c","resolution":{"observed_at":"2026-08-06T21:23:45.225534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:44.781443Z","title":null,"venue":null,"work_id":"787f198c-b4dc-4c64-94e3-3c8e8da5ed00","year":2023},"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":11,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:37.816476Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:07e4ff7038b3929673dc0b8d70d07a2545246f8f5e0e945a3a4e71a0ab282cfd","observation_id":"95c89db4-94bb-4b99-ae95-10d22e24faa1","resolution":{"observed_at":"2026-08-06T21:23:44.900522Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:44.468763Z","title":null,"venue":null,"work_id":"5562cf39-feff-4a4f-8940-784a9292d41f","year":2005},"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":12,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:37.958831Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:9f1120318abb855749784fd48157bffedd996cab0aa24db58a29d4892a48695c","observation_id":"89b94b7c-15f5-41bd-92ff-f313cc42c583","resolution":{"observed_at":"2026-08-06T21:23:44.632218Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:44.313703Z","title":null,"venue":null,"work_id":"46ad02c5-9834-41e2-9365-f5bdd6940431","year":2018},"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":13,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:38.148867Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:7bf852858aad8e9871b8b2f71e15d8045860676f6ba6c913f28a30477e26830d","observation_id":"d88bf1a0-4ce5-4811-8b29-bde8c62229ff","resolution":{"observed_at":"2026-08-06T21:23:44.382436Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:44.051749Z","title":null,"venue":null,"work_id":"7361a944-914f-4620-8130-46ec3384dfc8","year":2022},"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":14,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:38.224284Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:5813930fe136e6809b1657497ca87624ad04ffe24f0b42047426caba3bc3ee16","observation_id":"01554a80-bfb1-407d-aba4-4c4a0af77932","resolution":{"observed_at":"2026-08-06T21:23:44.168952Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.16698","last_updated":"2022-11-30T02:39:53Z","snapshot_observed_at":"2026-08-07T07:59:29.686875Z","submitted_at":"2022-11-30T02:39:53Z","title":"Malle's conjecture with multiple invariants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.16698","snapshot_observed_at":"2026-08-06T21:23:38.339629Z","title":"Gundlach,Malle’s conjecture with multiple invariants, 2022, arXiv:2211.16698","venue":null,"work_id":null,"year":2022},"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":15,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:38.339629Z"},"links":{"cited_paper":"/paper/2211.16698","citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:a2f203478f34475964bc0a519c4e7a7156aec73e0239e81117bcf8d1fd86c3eb","observation_id":"f4eff797-88d9-43fa-9391-fed21e10dbce","resolution":{"observed_at":"2026-08-06T21:23:38.339629Z","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":"2026-08-06T21:23:43.713201Z","title":"Koymans and C","venue":null,"work_id":"ad4c57c9-4af7-4380-bf6a-a8b7e958e6a7","year":2023},"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":16,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:38.492643Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:84f21d27ef87b1c57871f79921a5084db0f43a0988fad12ee6112251e236111a","observation_id":"0245bc4f-aa91-4ad9-9eb6-35a8fbd2deed","resolution":{"observed_at":"2026-08-06T21:23:43.892288Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:43.473139Z","title":"Koymans and N","venue":null,"work_id":"b772b559-632c-4068-a3d2-3fcc9faf6625","year":2024},"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":17,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:38.641622Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:42653ce27cf4257d41b4938c41fe59a1d52c4292e7648f8279ef330f0e3d1f2f","observation_id":"674f7414-53cc-44a3-bf5b-f18f94ab984b","resolution":{"observed_at":"2026-08-06T21:23:43.601424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.04196","last_updated":"2025-06-24T16:02:26Z","snapshot_observed_at":"2026-08-01T19:53:26.512544Z","submitted_at":"2024-12-05T14:34:46Z","title":"Malle's conjecture and Brauer groups of stacks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.04196","snapshot_observed_at":"2026-08-06T21:23:38.769617Z","title":"Loughran and T","venue":null,"work_id":null,"year":2024},"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":18,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:38.769617Z"},"links":{"cited_paper":"/paper/2412.04196","citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:19cab0dfb8cc9fba931668f8fa9264a6cbe44f0f4ca6bde369f246c0e1e04ef1","observation_id":"cc73c2a0-7045-4e5c-9698-b016a29f89cd","resolution":{"observed_at":"2026-08-06T21:23:38.769617Z","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":"2026-08-06T21:23:43.166202Z","title":"Malle,On the distribution of Galois groups, J","venue":null,"work_id":"86716c73-e10e-4a78-87cf-8c0b39290a99","year":2002},"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":19,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:38.876522Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:2a03ac79f9d7abba7e06624d365582f45efe150a2ae5797cda7b7f481a78eb4c","observation_id":"6281f9e0-2e65-413e-9e8c-ba88c35e9041","resolution":{"observed_at":"2026-08-06T21:23:43.322111Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:42.892744Z","title":"II, Experiment","venue":null,"work_id":"7c95f4c0-22b5-4548-bb52-8fe1e2ca8c3e","year":2004},"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":20,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:38.985417Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:9efefd1452a5366cad67e78a5955d83910cebeb3ce6fe8f635bae4da1ed7effc","observation_id":"41073f4d-a865-4a4d-b1b3-9d08368beb64","resolution":{"observed_at":"2026-08-06T21:23:43.026149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:42.611126Z","title":"Narkiewicz,Number theory, World Scientific, 1983","venue":null,"work_id":"0c7aef31-a00d-443f-9a26-a6486e913c4d","year":1983},"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":21,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:39.147338Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:ea80efd457d84a8513c705db6e2de7df3e8501509147a5ef2cf6b9b4c6a14dab","observation_id":"7cf7bb0e-a727-46ef-aaf7-bd42fc44a4f4","resolution":{"observed_at":"2026-08-06T21:23:42.733762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:42.365816Z","title":"Neukirch, A","venue":null,"work_id":"6e49fe4c-4354-4384-9c32-795be7796f9a","year":2013},"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":22,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:39.274473Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:2dc5d97f07065b7cad37d9cea266cbe75864302183241fe4f50ec2b1a0f5c6c0","observation_id":"76314b69-7b1e-434e-a20c-ac1741adad7c","resolution":{"observed_at":"2026-08-06T21:23:42.476323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:42.049528Z","title":"Peyre,Hauteurs et mesures de Tamagawa sur les variétés de Fano, Duke Math","venue":null,"work_id":"0e426872-4e91-4354-9787-2d3a1f964c97","year":1995},"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":23,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:39.412620Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:0c34a3ec4df635b1093fd561d8b934f267d9ac4b3da10ee867b7f2f3888ef16a","observation_id":"0a49a4ae-cfb2-4fcf-820a-aa58ab2a78b9","resolution":{"observed_at":"2026-08-06T21:23:42.223560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13914","last_updated":"2025-08-01T13:24:20Z","snapshot_observed_at":"2026-07-06T17:06:33.179039Z","submitted_at":"2023-12-21T15:02:19Z","title":"Manin's conjecture for integral points on toric varieties","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.13914","snapshot_observed_at":"2026-08-06T21:23:39.534694Z","title":"Santens,Manin’s conjecture for integral points on toric varieties, 2023, arXiv:2312.13914","venue":null,"work_id":null,"year":2023},"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":24,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:39.534694Z"},"links":{"cited_paper":"/paper/2312.13914","citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:03550ad9f6d5ea65e63dcfffa26d5ec887c3c0c05cec501fae676e0f65706e6b","observation_id":"9f8425e8-2417-44c2-9061-0304a792d261","resolution":{"observed_at":"2026-08-06T21:23:39.534694Z","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":"2026-08-06T21:23:41.834575Z","title":"Serre,Topics in Galois theory, Research Notes in Mathematics, vol","venue":null,"work_id":"484660a2-b25f-4211-8655-bbbccee33aa6","year":1992},"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":25,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:39.650969Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:27d6b449d011418631a3820cbacb6e03a7614af7ed0facb93213d0ca1fb6c302","observation_id":"bf46c3bc-53fc-4957-a37b-7bf6fbc6ac91","resolution":{"observed_at":"2026-08-06T21:23:41.936634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:41.595457Z","title":"11, CRC Press, Boca Raton, FL, 2012","venue":null,"work_id":"536cf0d4-644f-4c8a-bbf6-dfafb747affa","year":2012},"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":26,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:39.796115Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:faed7cdb1883e793b3d0667d1e2d225c1b171bb67f0e9bbc779a5fa10ea02bdb","observation_id":"6949fa3a-8132-4de6-9bda-88d909d61037","resolution":{"observed_at":"2026-08-06T21:23:41.699792Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:41.437303Z","title":null,"venue":null,"work_id":"02aa270e-c24c-4d97-afb0-e97c5ccb7bdd","year":null},"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":27,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:39.946191Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:5fe39b1854a343d827ed5e5160b716c01411584ad5f880ed0b13e87a5abc8f41","observation_id":"41a8e5d0-1ae1-4159-b2f3-5879f3eb46ec","resolution":{"observed_at":"2026-08-06T21:23:41.502634Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:41.258872Z","title":"Wiles, Modular elliptic curves and Fermat’s last theorem, Ann","venue":null,"work_id":"a28e971f-40a4-4251-8686-302a0087b703","year":1995},"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":28,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:40.038383Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:ac1e735cebd05f195dee4ccf5a99004187704a79ed26ac923e06bae9f9cbfb57","observation_id":"14ffaba0-3a5a-41d6-885f-7fbc905b78f0","resolution":{"observed_at":"2026-08-06T21:23:41.348666Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:41.003942Z","title":"Wood,On the probabilities of local behaviors in abelian field extensions, Compositio Math- ematica 146 (2010), no","venue":null,"work_id":"932f2eb1-260f-405d-ae1f-f5c20efb3588","year":2010},"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":29,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:40.205811Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:433383b5a70e68f9fc4483c3a75a4db5a27cf7d61130b404ed2a6a36fcaf65d9","observation_id":"274d0a46-3360-452d-be08-30e6528374c7","resolution":{"observed_at":"2026-08-06T21:23:41.121107Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T21:23:40.792781Z","title":"Wright, Distribution of discriminants of abelian extensions, Proc","venue":null,"work_id":"88fc5077-f503-40fe-bbaa-cd544c5319bd","year":1989},"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":30,"source":"pdf_text","source_observed_at":"2026-08-06T21:23:40.331594Z"},"links":{"citing_paper":"/paper/2507.00448"},"observation_digest":"sha256:5b95ab1cb9d40005cd0e4566a69fb7f2a30f24d37b2fce8a5d9ebfa1c56308e5","observation_id":"e1566b29-8a70-4f13-be0b-55f598cecde4","resolution":{"observed_at":"2026-08-06T21:23:40.886837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.00448","last_updated":"2025-07-01T06:00:49Z","latest_version":1,"primary_category":"math.NT","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"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":0,"verified_fuzzy":17},"total_outbound_references":30},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 3 inbound Pith citation observations for arXiv:2507.00448."}