{"as_of":"2026-08-13T02:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bf53a0076f753daa1f743abdf53b36560a91a06dea1ae1bb744311b485034523","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:05:38.730758Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2507.06865/citation-record","integrity":"/paper/2507.06865/integrity","json":"/paper/2507.06865/citation-record.json","paper":"/paper/2507.06865"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:05:35.804282Z","title":"Bhargava and B","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:35.804282Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:71366b1d133ab5675c1cd4c2ae08e14d32f84e3e4b45c1eac5454b241ab4aef3","observation_id":"07056f99-9397-448d-a6e2-f6abf0fac8e0","resolution":{"observed_at":"2026-08-06T19:05:35.804282Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:05:35.854194Z","title":"Bhargava, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:35.854194Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:ceb7472de671cc1c4b1664428fe922cd0a1116af72f32a675abe1be1d569e279","observation_id":"ef72a84e-88c1-4708-b436-18ff30de87d6","resolution":{"observed_at":"2026-08-06T19:05:35.854194Z","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":"2026-08-06T19:05:44.369779Z","title":"Birkenhake and H","venue":null,"work_id":"5ca8873a-e6c1-4f5d-9d03-ed0104b92f5e","year":2004},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:35.938547Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:631c487f1a54cc5cd5cb1f101e817a415ecdc456f403372353f5e600f26c4620","observation_id":"c63bb56c-fc6d-4246-9c6e-a8c6103a6a41","resolution":{"observed_at":"2026-08-06T19:05:44.374875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.352939Z","title":"Bosch, W","venue":null,"work_id":"268dffa3-89c1-4677-acc1-666af8fe8bf7","year":1990},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.002960Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:9c4d11563b30c84636a27d04c154476770ce4139cb9573ff563c736cca6399cd","observation_id":"5cbdd95b-0a9c-4926-97be-5ebdaf20e244","resolution":{"observed_at":"2026-08-06T19:05:44.358004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.334332Z","title":"Bosma, J","venue":null,"work_id":"3f1e0c02-abec-4f70-85ee-650b2a856034","year":1997},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.049355Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:6ca23c9333cf156ac6a0151b148c05514fc52709c7cf6f47aab1b684446b7255","observation_id":"2dbd5d8f-8aaf-4337-b4f6-df4a055a3a94","resolution":{"observed_at":"2026-08-06T19:05:44.339016Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.314402Z","title":null,"venue":null,"work_id":"083757a4-0879-475b-a348-ddaa26445d66","year":1967},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.108224Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:7338c7f81639b7977351bea5fda96a838daf043e76e80f652579dc3a8ec22fd6","observation_id":"75197f58-e392-4310-bc35-39b636e9fb1e","resolution":{"observed_at":"2026-08-06T19:05:44.319972Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.295603Z","title":null,"venue":null,"work_id":"c58b8614-274e-4656-a5ea-6e65ddbcc02c","year":1996},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.164580Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:bd5aba26f0fab490ca6fd7c9749f9f5a3df92248cb26010d72b22467304d8a45","observation_id":"f76dcb5c-eab5-47a9-a3e3-7576439a3760","resolution":{"observed_at":"2026-08-06T19:05:44.301721Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.275903Z","title":"Chevalley","venue":null,"work_id":"a1585958-f5d0-4869-ad54-a1b8f5a18fc6","year":1997},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.207739Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:633fd507734c15f3026b02287329b5d10b1a78bb5d2cb8829bb9bfbc9c0099d1","observation_id":"59bbfde9-0ee8-45db-8bce-c35b76ce4d34","resolution":{"observed_at":"2026-08-06T19:05:44.283406Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.250289Z","title":null,"venue":null,"work_id":"e11a20e8-b2ee-4b62-b772-e8f44e86fb09","year":2014},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.257078Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:d549651b0249bb3aaf8d76cb6998a467fb290f1eadeade2f6cbe43905ccd6e83","observation_id":"6ef3c1e3-5fc9-487d-bc66-2c2bd7822501","resolution":{"observed_at":"2026-08-06T19:05:44.256987Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.231186Z","title":null,"venue":null,"work_id":"128094cf-b320-4b1e-970e-3b17e69ba7f8","year":2005},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.323575Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:c05277b0804dcd2275b5a1e0044ffae4e1afddb111219daf8d032f6a3eb0f99f","observation_id":"6b0533ad-679a-4a10-97fc-bfdb014aaa43","resolution":{"observed_at":"2026-08-06T19:05:44.237296Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.211209Z","title":null,"venue":null,"work_id":"dce15369-1623-4806-b9ef-50a5d05af6cb","year":1976},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.383350Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:b7a06b00e5556bf8f2b6624653fafa0f15c42c1a2ca41f5156e689f4f5809d64","observation_id":"2d393d25-2fbf-42e8-97bb-f16a816b57fc","resolution":{"observed_at":"2026-08-06T19:05:44.217216Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.193552Z","title":null,"venue":null,"work_id":"041e48f2-e733-4c0a-b278-68d5a3d51b94","year":1980},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.447881Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:c47624f5438099312f8063a979e041e6b80e4dd75da961c55433e6c997f5b0c7","observation_id":"65071335-41ac-4aed-a696-652ae5a58f24","resolution":{"observed_at":"2026-08-06T19:05:44.199984Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:44.118629Z","title":"Duquesne","venue":null,"work_id":"c8122a88-47ef-4214-9441-05bb78035f31","year":2001},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.495652Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:c62ea6e5e94c6241d870c8acfa97cdb57be612bb5ee11d8d64a26e7664c2b356","observation_id":"01f30b80-48c6-4754-a118-538cb291015f","resolution":{"observed_at":"2026-08-06T19:05:44.180773Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:43.765316Z","title":null,"venue":null,"work_id":"75e41f3a-d73a-4673-bb38-02d6517df933","year":2012},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.539062Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:20aa8f98ba485473c79f06cbf9daa0e2565b7486f314762edc44894f71ba641a","observation_id":"fb3be3ca-c0d1-4d43-a9af-afc5c8dc51e0","resolution":{"observed_at":"2026-08-06T19:05:43.933377Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:43.448316Z","title":"Gruson, S","venue":null,"work_id":"f419181e-b4f0-4719-933d-e1932ea9f4d1","year":2013},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.614231Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:a6cb4cb4db8e4304d3032d2de81c316ed3ab9a87854947c67e516b9f4c9b9fd6","observation_id":"cce07b9d-b7e2-4802-a5c7-8b5cdf965538","resolution":{"observed_at":"2026-08-06T19:05:43.550242Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:36.666851Z","title":"Hartshorne","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.666851Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:3cb7341b987ca7afa684492c3b16db4e22f8435f434af4488bcd9933dd8f9186","observation_id":"72ea5ea5-17ee-45da-aa7e-11347eb6df52","resolution":{"observed_at":"2026-08-06T19:05:36.666851Z","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":"2026-08-06T19:05:43.289178Z","title":null,"venue":null,"work_id":"f699ee97-e8aa-4c94-b604-dcad83ad2769","year":2014},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.718458Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:cab453cacc655bb658fd2145e73eda80b7c310b29ca182a52c3b0ddf313d95c5","observation_id":"88582a8f-f245-4629-940f-4f5aa99911da","resolution":{"observed_at":"2026-08-06T19:05:43.303696Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:43.167111Z","title":null,"venue":null,"work_id":"b4a3b412-32d8-44ac-8630-3ee447e5ba8f","year":1972},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.766082Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:5604ac979e7d68b817ec858177e413ba684d71a67ea2bc2a7fc73cc39100ffae","observation_id":"6888e654-a240-45ed-8fd9-ce36f4a76351","resolution":{"observed_at":"2026-08-06T19:05:43.219922Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:43.024984Z","title":null,"venue":null,"work_id":"30fd860c-bfa2-4c13-aac9-a29207d1a20a","year":2003},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.839798Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:a5cbb4ea16f4e061be6fda57e2cb61b066fe3f5629b99bd97fa0990b068fa596","observation_id":"23163ac8-69e5-448c-97f4-a011308c779e","resolution":{"observed_at":"2026-08-06T19:05:43.077645Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:42.873264Z","title":null,"venue":null,"work_id":"d8a028cc-2c92-4fef-be10-1c00cf1adb60","year":1988},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.891390Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:b8e03ba8141bd75b2591805c9c19101bf2bc92dd0d0ea70df05e6cfbff25447d","observation_id":"836fe246-3e47-41b1-8579-0185fe60fea7","resolution":{"observed_at":"2026-08-06T19:05:42.933131Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:42.704483Z","title":null,"venue":null,"work_id":"8b9efd8c-efc7-44f2-9c0f-fd73d9609e03","year":1995},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.938868Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:1556f1e57d7df87eb95c86fe84efdc468c1deb5b302610a8d6fd747249e4967a","observation_id":"289f3350-ec51-4196-8ac1-de6126c25ced","resolution":{"observed_at":"2026-08-06T19:05:42.779153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.10224","last_updated":"2024-05-16T16:13:45Z","snapshot_observed_at":"2026-08-13T00:05:40.909769Z","submitted_at":"2024-05-16T16:13:45Z","title":"100% of odd hyperelliptic Jacobians have no rational points of small height","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.10224","snapshot_observed_at":"2026-08-06T19:05:36.987692Z","title":"Laga and J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:36.987692Z"},"links":{"cited_paper":"/paper/2405.10224","citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:d5c279d885b5a326356a28d8fb6babf3815bd6889f77d921ffaa87d4cd88e125","observation_id":"a2e8113b-7092-4111-a624-6cd6aa1aba05","resolution":{"observed_at":"2026-08-06T19:05:36.987692Z","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":"2026-08-06T19:05:42.564689Z","title":null,"venue":null,"work_id":"16f31a72-a641-4b39-8c1f-d1ede4502aa7","year":1983},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.039238Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:8f6a04c75a7a4434e1cb3ff2aeca0da2206c8b0fa2135aa26970152e22283a20","observation_id":"9080d580-df3b-41bd-a011-3b5bd86db957","resolution":{"observed_at":"2026-08-06T19:05:42.660811Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:42.423250Z","title":"Lockhart","venue":null,"work_id":"ebab3b2a-5e68-49fd-8c5c-5ee06e269aed","year":1994},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.085643Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:fdc404670cb259affdd05986c88d8520b9cd5b1d836dc0fc6481198237c8e0f1","observation_id":"de95a588-9ed8-458e-ae96-d8aaccf4729b","resolution":{"observed_at":"2026-08-06T19:05:42.511220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:42.292959Z","title":null,"venue":null,"work_id":"bcd31b7d-7e51-4c48-a037-ef24a0bcfc96","year":2014},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.146227Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:67c50cbde694610a10604cd56e186bfce2385b2a3e649bff141736edc6c1ad3d","observation_id":"f11634e5-fd00-4a81-b141-57a33cb4aa8f","resolution":{"observed_at":"2026-08-06T19:05:42.337815Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:37.202146Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.202146Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:f0a8cc1888ffdad4553e2b846298b76c10d7e1077ef930800961e0775f7941e9","observation_id":"3198b9c2-e268-45a6-bf3c-25b7c0d999ce","resolution":{"observed_at":"2026-08-06T19:05:37.202146Z","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":"2026-08-06T19:05:42.128143Z","title":null,"venue":null,"work_id":"dcaf6fec-f902-4952-9dfe-9743c13ad97e","year":1983},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.282149Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:8a5ec2d6780d2829adb7074ce8ec4393854004158d37bcc14c93baddbf88dca0","observation_id":"93207a97-a045-47ac-9a0e-628e510afebb","resolution":{"observed_at":"2026-08-06T19:05:42.203522Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:41.931174Z","title":null,"venue":null,"work_id":"445a868a-b85e-46f0-bc5c-e649b2dfea0f","year":2007},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.380516Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:8b671e4a858eb60eabb07948ade6ced0bf352915a74bdc98725e42d993f4cf22","observation_id":"4b2d3549-9b04-49e9-8d02-d344aec25426","resolution":{"observed_at":"2026-08-06T19:05:42.048458Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:41.775294Z","title":null,"venue":null,"work_id":"03f68f88-990b-4856-b13c-cdc59bd4e6c4","year":2012},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.466385Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:6f96fe0035cddd3c5a7a4aa6f37164c73fcfd0c4dcd8cbc8b64e5e927b5bd327","observation_id":"cbf6b01a-0f21-4ec6-a887-c300724ed2e1","resolution":{"observed_at":"2026-08-06T19:05:41.833453Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:41.612490Z","title":null,"venue":null,"work_id":"781b87d0-0e4f-4c4d-baaa-55a79549ff61","year":1974},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.551793Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:ad30f7d4d7afea3d3d9a5de36391a18aadf46824044d25614e5fa486dc4d084b","observation_id":"503befc3-a880-4171-aba4-181422aa154f","resolution":{"observed_at":"2026-08-06T19:05:41.696041Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:41.443224Z","title":"Ramanathan","venue":null,"work_id":"722a2832-a574-4651-b1dd-486443285cc9","year":1987},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.642693Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:d1522fe6016eaa0ca76eaab56b96f280419561267e95c0e2ac3157f0272d5980","observation_id":"d8595d41-c675-40e5-867c-d8c2403478be","resolution":{"observed_at":"2026-08-06T19:05:41.532381Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:41.297993Z","title":null,"venue":null,"work_id":"4da878d4-853b-4f57-a061-1a2f68f74493","year":1972},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.732006Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:fd5d91c83a4f8a39c210efa6c6f55a6eb4058f7d57833747150fff20c9ee890d","observation_id":"9186a7fa-92f4-40f4-bf96-678340bf06bf","resolution":{"observed_at":"2026-08-06T19:05:41.360543Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:41.177081Z","title":"Serre.Local fields, volume 67 ofGraduate Texts in Mathematics","venue":null,"work_id":"5ad60d26-7653-43f5-8a36-33919760f374","year":null},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.832806Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:3dafc82958138ca4a78f5ec91d4f12825dc238e6613ca6ba0f6d4687441bd5fe","observation_id":"bfa65f94-8acb-41d3-9219-572a1988f066","resolution":{"observed_at":"2026-08-06T19:05:41.233379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:40.603493Z","title":null,"venue":null,"work_id":"449580cc-3803-47d6-be4f-62dc6aec2987","year":1984},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.983400Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:5156f8355f8a0ca0d5163438e716ea0c74bb3d7fcef9c78382910026e58aa92b","observation_id":"4a954ee8-77b2-4757-9a3f-4c8cde4660dd","resolution":{"observed_at":"2026-08-06T19:05:40.765242Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:40.180379Z","title":null,"venue":null,"work_id":"12e986f2-d860-47cb-8178-8ae98c1297f9","year":1999},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:38.091616Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:0d1f2ca74fbe9da4470ec39ac8ad18467c11fcd90540338b21184ae81fc9e487","observation_id":"8f8ee45d-7daf-4b86-896e-c72ea053eafc","resolution":{"observed_at":"2026-08-06T19:05:40.439952Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:39.806590Z","title":null,"venue":null,"work_id":"a73ee70f-6626-4a04-88b7-886c956bd2d9","year":2017},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:38.177418Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:f9ebb80877b0cbc6f5ff993793e2470b1b47510f480cb29a921e03f797fe1100","observation_id":"09b0ee20-32da-4c8f-80f1-e0cc0918daff","resolution":{"observed_at":"2026-08-06T19:05:39.950679Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:39.513688Z","title":null,"venue":null,"work_id":"d49b42b5-a81d-4290-b890-dda927a165af","year":2000},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:38.262094Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:929e96e00c3d0c3846f3cf293049e5b3d3ee8dfddfe6e4f31be6418ce591eeff","observation_id":"dea4c971-08a0-4689-8f01-335eef51ec92","resolution":{"observed_at":"2026-08-06T19:05:39.644915Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:38.393959Z","title":"The Stacks project.https://stacks.math.columbia.edu, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:38.393959Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:a71a0b25117c1bc9b40814d84c3cac13014c78bd96aa092c60030e9b5660f925","observation_id":"9ef0a99f-bfa8-455a-bb6e-ce66ad78653c","resolution":{"observed_at":"2026-08-06T19:05:38.393959Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:05:38.494544Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:38.494544Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:d05011365fb91bf9b6b2022e431891df9a79edffde5ec745d693d8755e299adb","observation_id":"3ba84864-1d57-46d4-9ef6-74534f6b10ba","resolution":{"observed_at":"2026-08-06T19:05:38.494544Z","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":"2026-08-06T19:05:39.122339Z","title":null,"venue":null,"work_id":"9fc5bda9-8519-4891-abac-d617e9c10e54","year":2018},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:38.629481Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:fd102d5232f3ba8882f9239ea6f562acfe084e7c104b79ee161cb4dbde8df55f","observation_id":"c7297a88-bf14-4f9a-8103-1e8878268956","resolution":{"observed_at":"2026-08-06T19:05:39.283732Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:38.892931Z","title":null,"venue":null,"work_id":"65f9c11e-86a1-43cd-877e-e97e46148eff","year":1972},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:38.730758Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:fea7d674f46f85bc38f65f59ebcc3fbeb1b9e40a53b2192fa9a229fd7efd9884","observation_id":"c142f8cb-6382-4585-9415-665d5b141294","resolution":{"observed_at":"2026-08-06T19:05:39.017254Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T19:05:40.986731Z","title":null,"venue":null,"work_id":"3f55b2af-2f2a-4bd1-9648-459157a8dfb8","year":null},"citing_paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights","version":1},"reference_index":1979,"source":"pdf_text","source_observed_at":"2026-08-06T19:05:37.891333Z"},"links":{"citing_paper":"/paper/2507.06865"},"observation_digest":"sha256:cdd0e7977ba382bb0fd6d1768ad9b85181796ded2ff9094f354953a9a5acf203","observation_id":"d541cbd5-5d4b-4153-9d07-3a060f5c48ed","resolution":{"observed_at":"2026-08-06T19:05:41.102467Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.06865","last_updated":"2025-07-09T14:07:04Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-06T18:50:04.168366Z","submitted_at":"2025-07-09T14:07:04Z","title":"Kummers, spinors, and heights"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":0,"verified_fuzzy":9},"total_outbound_references":42},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2507.06865."}