{"as_of":"2026-08-08T03:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e8283740f9762837956772ed490f6fc8514438ff3795afc9771a77b88c8f5b7d","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:28:19.808647Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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":"2026-05-10T10:03:12.944307Z","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":"2026-05-10T10:04:06.239904Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"cited_work":{"arxiv_id":"2506.07967","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.07967","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","venue":null,"work_id":"47ef562c-9ee1-4191-a755-1174525f9a44","year":2025},"citing_paper":{"arxiv_id":"2604.15155","last_updated":"2026-04-17T14:14:26Z","snapshot_observed_at":"2026-07-06T23:02:44.990811Z","submitted_at":"2026-04-16T15:34:07Z","title":"Computer vision and converse theorems","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-10T10:03:12.944307Z"},"links":{"cited_paper":"/paper/2506.07967","citing_paper":"/paper/2604.15155"},"observation_digest":"sha256:575cee5a7be0c149ba686d711bce355a2155506823873966ceb6e253c8eb362c","observation_id":"de3be797-596d-4e53-913b-180eb8724554","resolution":{"observed_at":"2026-05-10T10:04:06.242761Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.07967/citation-record","integrity":"/paper/2506.07967/integrity","json":"/paper/2506.07967/citation-record.json","paper":"/paper/2506.07967"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.18576","last_updated":"2024-12-28T11:21:22Z","snapshot_observed_at":"2026-07-06T20:12:54.710203Z","submitted_at":"2024-12-24T18:01:19Z","title":"Machine Learning Approaches to the Shafarevich-Tate Group of Elliptic Curves","version":2},"cited_work":{"arxiv_id":"2412.18576","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.18576","snapshot_observed_at":"2026-08-07T05:28:20.055260Z","title":"Machine Learning Approaches to the Shafarevich-Tate Group of Elliptic Curves","venue":"math.NT","work_id":"6e0990e6-461d-4e95-b1d2-b7cb2761e051","year":2024},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.715966Z"},"links":{"cited_paper":"/paper/2412.18576","citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:45b5b0046f9738767b8e110d592135e47b6e6091efbdc40ec0e0b693acac80d6","observation_id":"9f9d38dd-4ee4-44f8-a55a-d95d4a870757","resolution":{"observed_at":"2026-08-07T05:28:20.058791Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.10357","last_updated":"2025-02-14T18:39:18Z","snapshot_observed_at":"2026-08-07T18:17:00.415400Z","submitted_at":"2025-02-14T18:39:18Z","title":"Learning Euler Factors of Elliptic Curves","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.10357","snapshot_observed_at":"2026-08-07T05:28:19.721141Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.721141Z"},"links":{"cited_paper":"/paper/2502.10357","citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:60dbe8981e018991a49e4b34bed0ea0d89b06e6514eaace50505517b2d0a93fd","observation_id":"beb9daef-4c54-4b3a-8f6c-0f7ac5b8fa8b","resolution":{"observed_at":"2026-08-07T05:28:19.721141Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.10360","last_updated":"2025-02-14T18:42:06Z","snapshot_observed_at":"2026-08-07T18:17:00.203722Z","submitted_at":"2025-02-14T18:42:06Z","title":"Machine learning the vanishing order of rational L-functions","version":1},"cited_work":{"arxiv_id":"2502.10360","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.10360","snapshot_observed_at":"2026-08-07T05:28:20.032556Z","title":"Machine learning the vanishing order of rational L-functions","venue":"math.NT","work_id":"0eb4cc7c-c450-4c73-8e14-5d0c57b6944a","year":2025},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.727682Z"},"links":{"cited_paper":"/paper/2502.10360","citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:e5344b80f71a7be7ff807ae2de60eb4ad363bc60f8cc302079cd1a4fdc5f52ad","observation_id":"b31b20b7-fda9-4f1d-9db0-a5607fb6f52e","resolution":{"observed_at":"2026-08-07T05:28:20.037679Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:28:20.092307Z","title":"S., Ho, W., Kaplan, N., Spicer, S., Stein, W., Weigandt, J","venue":null,"work_id":"2a825251-fe55-42cb-b15d-44487d6b9341","year":2016},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.734778Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:79ac06490b83cea9e86dde0833d25646bb9e186111fbca44509192514f03ddea","observation_id":"c81f07d8-240d-4743-b9ee-fb17bd4294e0","resolution":{"observed_at":"2026-08-07T05:28:20.096334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s2810939224400070","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:28:19.906584Z","title":null,"venue":null,"work_id":"7e1fc76e-6e5d-4de6-b468-8b0607213b50","year":2024},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.740734Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:7acb368d5dd83a1a598b3987c921139e5fdd7ec7a259ff99f7c04a323ddcc1a7","observation_id":"00b279ad-2cc7-4039-b825-54d342b62665","resolution":{"observed_at":"2026-08-07T05:28:19.911140Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:28:20.083020Z","title":"D., Klagsbrun, Z","venue":null,"work_id":"146e02f0-ccdc-499e-bb38-85cd0a541c4b","year":2020},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.746909Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:a62cfc6063d5a2fb8e669e3b8fdc21e9955af4f5d8a62441391bdc0d0630bf18","observation_id":"cb575b11-d6ff-4a5e-bcef-3727ba3f8fef","resolution":{"observed_at":"2026-08-07T05:28:20.086468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jsc.2022.11.015","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:28:19.892498Z","title":null,"venue":null,"work_id":"b6c7f7a4-222e-42fe-9fc2-fe01f75b187c","year":2023},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.752687Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:317f0a4332ade3ddf529a618495c701de5aff2ae2d875de63f036b1bb02aee67","observation_id":"5b74e851-4d1e-47ab-b405-8558042bf7cd","resolution":{"observed_at":"2026-08-07T05:28:19.898056Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:28:19.757588Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.757588Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:659a7291aeb31dcab6d0967549843c166f13add7bbaa7b6a1b0dc9b9288a431e","observation_id":"9d8e5cbc-850a-4391-8dbb-03e0149c392f","resolution":{"observed_at":"2026-08-07T05:28:19.757588Z","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":"10.1090/mcom/3773","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:28:19.880262Z","title":null,"venue":null,"work_id":"cae4e849-c764-4f81-b1ff-2cf8e4cb4c10","year":2023},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.762421Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:105ad3bfdcb5d7bc32cfaf4be949e56341ec34a0a65a426ea174f325980795f6","observation_id":"e26cb061-65f1-4934-8612-5869d6c463bd","resolution":{"observed_at":"2026-08-07T05:28:19.884861Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s40993-023-00462-w","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:28:19.866670Z","title":null,"venue":null,"work_id":"0f84fe93-8c0b-4afd-a14e-68635ba3e4e9","year":2023},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.769360Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:7ada9a87d2504f7f04534fead3c4a1ade217b530ecc8e06309abfa455651c0f2","observation_id":"81c036cf-757f-45c1-a14f-995750603f40","resolution":{"observed_at":"2026-08-07T05:28:19.871420Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T05:28:20.073404Z","title":"The L-functions and Modular Forms Database","venue":null,"work_id":"d47e9ecb-8236-4884-ab57-a97a3646a855","year":2024},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.774368Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:decb90df7a870d8941cee0045e57166579ad6d6bbd0b240cd4bdcdaf64d757bd","observation_id":"26cc6b33-38e0-4e93-badc-9457638861ca","resolution":{"observed_at":"2026-08-07T05:28:20.076810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imrn/rnae277","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:28:19.855138Z","title":null,"venue":null,"work_id":"6b951679-188d-48c3-b186-be7bab038ef3","year":2025},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.778997Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:6b66b78e6be606fde21689b05094783473e0264165a955dd0fd6a11a5239988f","observation_id":"f32b9dc7-f7ae-4623-a1ff-53c87bc335b3","resolution":{"observed_at":"2026-08-07T05:28:19.859469Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.05101","last_updated":"2019-01-04T21:01:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2017-11-14T14:24:06Z","title":"Decoupled Weight Decay Regularization","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.05101","snapshot_observed_at":"2026-08-07T05:28:19.784074Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.784074Z"},"links":{"cited_paper":"/paper/1711.05101","citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:63dde729d72a841538642a748e3b4e5bb2e50488a14ca93cfb0535e7407239f1","observation_id":"0feec78c-fa50-4538-8d40-407bf735ce34","resolution":{"observed_at":"2026-08-07T05:28:19.784074Z","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":"2026-08-07T05:28:20.065028Z","title":null,"venue":null,"work_id":"bbe29b54-5d22-46bc-a629-7d48a3c899ea","year":2019},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.788984Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:8c12114405b11786b7b1ea41e721b35b1b9ff010f7e569cd07b07fdd562c5541","observation_id":"af01488b-c787-4b66-a78c-76e7b3e5e776","resolution":{"observed_at":"2026-08-07T05:28:20.068041Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s2810939224400057","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:28:19.837302Z","title":null,"venue":null,"work_id":"9fd210c4-6c03-4e00-8f5d-6947cb26e65d","year":2024},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.795179Z"},"links":{"citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:0bcfe4e89a0571a8ba1741e0b44ca0a0b2adcad334691a9fdcd950c6a13c86be","observation_id":"b985a7e2-9b10-406e-b860-f55fc2315cc5","resolution":{"observed_at":"2026-08-07T05:28:19.846234Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1708.07120","last_updated":"2018-05-17T17:40:34Z","snapshot_observed_at":"2026-08-03T16:57:23.638368Z","submitted_at":"2017-08-23T17:51:57Z","title":"Super-Convergence: Very Fast Training of Neural Networks Using Large Learning Rates","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1708.07120","snapshot_observed_at":"2026-08-07T05:28:19.801305Z","title":"N., Topin, N","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.801305Z"},"links":{"cited_paper":"/paper/1708.07120","citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:003d7f8676bf8b44f37b83dc22ae8ef01b8e336783b000fa58cd3659bdfefb4f","observation_id":"043a2506-0660-4502-8acc-6bd60cae2462","resolution":{"observed_at":"2026-08-07T05:28:19.801305Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.11496","last_updated":"2021-11-22T19:42:55Z","snapshot_observed_at":"2026-07-06T12:11:05.526931Z","submitted_at":"2021-11-22T19:42:55Z","title":"Two-dimensional Dirac matter in the semiclassical regime","version":1},"cited_work":{"arxiv_id":"2111.11496","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.11496","snapshot_observed_at":"2026-08-07T05:28:19.923396Z","title":"Two-dimensional Dirac matter in the semiclassical regime","venue":"cond-mat.mes-hall","work_id":"fdb307c4-9396-41e4-aecc-17cf3a58f4b0","year":2021},"citing_paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T05:28:19.808647Z"},"links":{"cited_paper":"/paper/2111.11496","citing_paper":"/paper/2506.07967"},"observation_digest":"sha256:aace307e02353995463607c668383c4e7664a27a4354e7d95b195b3c95cf4a63","observation_id":"598b63ad-01a1-46f1-835a-e7013fd2e2bb","resolution":{"observed_at":"2026-08-07T05:28:19.929247Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.07967","last_updated":"2025-06-09T17:42:06Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-08T00:17:59.006470Z","submitted_at":"2025-06-09T17:42:06Z","title":"Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":9,"verified_fuzzy":3},"total_outbound_references":17},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2506.07967."}