{"as_of":"2026-08-18T13:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:db4142677b431a4bfcf069c90429264f2a90e7c3de464c0be287c9eb934f3f26","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:12:25.762237Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2507.18999/citation-record","integrity":"/paper/2507.18999/integrity","json":"/paper/2507.18999/citation-record.json","paper":"/paper/2507.18999"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:12:26.052169Z","title":"Friedman, F","venue":null,"work_id":"7fe09baa-5598-4138-8c5a-4ea82ab08eb0","year":1986},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.676845Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:344c42469a5259b09be1c26102332112a8d5815897f02a83c4b47ef26528ca1c","observation_id":"926b0053-cbd2-4162-8f7b-dfa7a832fa5b","resolution":{"observed_at":"2026-08-15T18:12:26.057401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:26.038251Z","title":"Persson, H","venue":null,"work_id":"4a72a397-8dba-4f6a-9c0c-d911b037532a","year":1981},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.681893Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:4e9172a748f54513eb397d5a0f6e397fbdf6ba40ea51bdcc707a1215ded5f3f7","observation_id":"e1ddb1e4-167a-41fa-9879-b306a07472c1","resolution":{"observed_at":"2026-08-15T18:12:26.042635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.686215Z","title":"Schmid, Variation of Hodge structure: the singularities of the period mapping, Invent","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.686215Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:7defccd136b3045aed3f40e8dce8152141b8fd617d0db02b7d6085025274a793","observation_id":"cc3a204a-b695-4d96-9bfc-511553ec8faf","resolution":{"observed_at":"2026-08-15T18:12:25.686215Z","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":"2026-08-15T18:12:26.012421Z","title":"Steenbrink,Limits of Hodge structures, Invent","venue":null,"work_id":"847f6d08-b908-4090-bf4a-0e22cd44d8e8","year":1976},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.690607Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:492cd6ae0d4a5cba5b60c93a16f4f6e3cfd24654e4724a0d475071b34a669848","observation_id":"d3715fa5-8909-4a92-952d-c4e5eb9a767e","resolution":{"observed_at":"2026-08-15T18:12:26.018551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.998560Z","title":null,"venue":null,"work_id":"3a962996-1a65-4eea-8e4b-4e84abcf80f6","year":1977},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.694889Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:7789a228b43749f573627dac75352681e1380122804d19643696092ce64d78ec","observation_id":"a25fabec-ca0b-4372-976c-ba116479913b","resolution":{"observed_at":"2026-08-15T18:12:26.003097Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.984940Z","title":"Friedman, Simultaneous resolution of threefold double points, Math","venue":null,"work_id":"668bdbe3-ad40-4561-a9c3-7e32e9f59f0f","year":1986},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.699252Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:26859a5a35cc833c9deb98f8f51e91d24fc871405b31ac2ed0d7e4b1e9c09fe2","observation_id":"17a0bb24-f783-4dd3-9fe6-6d476ae5c516","resolution":{"observed_at":"2026-08-15T18:12:25.989196Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.970883Z","title":null,"venue":null,"work_id":"3bcf1865-2097-4e60-924a-6affaa0f7233","year":2023},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.704514Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:8f87abc43f8fe2b6696f581ee2500101f62c7ef4c7a505305cfa16e7c5fc32a2","observation_id":"c8a219dc-7bcd-4e0c-a8ef-aae9398e5915","resolution":{"observed_at":"2026-08-15T18:12:25.975527Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.957808Z","title":"Arbeitman, C","venue":null,"work_id":"b7949222-1c4e-4aab-aed0-c144c83d2dfb","year":2024},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.709379Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:e090e7945d6697528bf3f47bc73f49cc40b02c158f3a9c7a6ce3c50566527e23","observation_id":"fafd00db-80f3-452f-8694-80e0da550958","resolution":{"observed_at":"2026-08-15T18:12:25.961895Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.944795Z","title":"Bakker, Y","venue":null,"work_id":"2a75edee-141f-47f0-8dee-970609bf3488","year":2022},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.713712Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:ce87f869bb2ac827175ecc9622fbac838d449a1e15a16c2f590f5b54e5f47044","observation_id":"0af0cf31-f0f6-490e-bc5b-fd75d2e40c6b","resolution":{"observed_at":"2026-08-15T18:12:25.948948Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.931056Z","title":"Charles, C","venue":null,"work_id":"718469f6-edd9-4ca3-a6ca-d2ed4977912c","year":2022},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.717930Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:44a178b785b005a8a14455d37dd70125e41e3b8a769ae17394268541ce71adc6","observation_id":"45902247-8940-4d49-810f-d5f504d9cd2d","resolution":{"observed_at":"2026-08-15T18:12:25.935490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.917691Z","title":"Huybrechts,Lectures onK3 Surfaces, Cambridge Univ","venue":null,"work_id":"f321910d-d73d-4203-8b86-4e5e619907ec","year":2016},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.722203Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:c9319c55439b3bb357439b930e64938a0563af3d9b469706f1f4f6f134998501","observation_id":"a56f952c-41da-4ba4-b5ac-d90789261d56","resolution":{"observed_at":"2026-08-15T18:12:25.921991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.903498Z","title":"Voisin,Hodge Theory and Complex Algebraic Geometry I, Cambridge Univ","venue":null,"work_id":"6d7adf06-f6ef-4b42-8460-9947215e9710","year":2002},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.726332Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:95d86e4865ed6b7d9e400f33a5fa2a01bc3c468d63eff86e8940d7dbe2c50664","observation_id":"01ed0dbb-8bcb-4070-904e-a3e86a8a2504","resolution":{"observed_at":"2026-08-15T18:12:25.908222Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.890158Z","title":"Voisin,Hodge Theory and Complex Algebraic Geometry II, Cambridge Univ","venue":null,"work_id":"e697e50f-f7a5-478b-a62d-a59c2ba314f7","year":2003},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.730741Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:3430abf73c2faeeb4c0d2ba9fae375a3bb35e3901cef118a0094bb04517d7bd4","observation_id":"5bf02a41-f9ca-4cee-a3e8-ae95b8fd1451","resolution":{"observed_at":"2026-08-15T18:12:25.894583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.877127Z","title":null,"venue":null,"work_id":"c2f230e1-5322-47cc-a589-e6b25b5032ac","year":2009},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.735755Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:9020e1826b207b6fdc64984a649d8417d3cd934c2496498c90dacffd3a714f82","observation_id":"a60c2852-9657-475d-b78a-58a5ce74d755","resolution":{"observed_at":"2026-08-15T18:12:25.881276Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.863089Z","title":null,"venue":null,"work_id":"fd8c47b5-5017-423e-9177-7f029c99e4c7","year":2000},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.741099Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:9dc19e73567d4a47b7e134fa8c339af6714d9440e9b1aabed3e21ce708c2b762","observation_id":"a23cd200-cb63-4536-bca3-de1d2076e691","resolution":{"observed_at":"2026-08-15T18:12:25.867597Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.848289Z","title":"Reid,Minimal models of canonical 3-folds, Adv","venue":null,"work_id":"c5a21258-f871-4ce8-92b0-39dce5744867","year":1983},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.745247Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:d11c7254b152a40cf6edd9cf36ae286c20ea67328f1488308087aa1571602b2e","observation_id":"8e5e7a63-e41c-4e8f-a3dc-8aad57706404","resolution":{"observed_at":"2026-08-15T18:12:25.852937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.834777Z","title":"Candelas, X","venue":null,"work_id":"275390d8-cc67-456a-8695-d08ae185b6fe","year":1991},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.749489Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:c2bde48ce7029ed5cfef5f143ee35fe6b8e8865a7ff1875cc9049dad49ab6b7a","observation_id":"b899facc-884b-4560-a061-e98a61abe7fc","resolution":{"observed_at":"2026-08-15T18:12:25.838902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.821183Z","title":null,"venue":null,"work_id":"316962e8-a7a7-4512-aa8c-478c3db2ab14","year":1993},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.754089Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:5cc6a837b14547cfa5a44b31176131855e427884c711df3d0aecfdb1d692c1d2","observation_id":"665cfb82-f629-4a37-b345-24e4df6cfcf8","resolution":{"observed_at":"2026-08-15T18:12:25.825445Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.807430Z","title":"Gross, P","venue":null,"work_id":"f309bb3c-5908-43a1-b8ea-33bc1abf874a","year":2000},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.758131Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:55f96917aa7334b9a8eccb2912f64cd2d72fe56001bf46fcbe5272623f3d73fe","observation_id":"9aa2bf76-32f6-4d4a-9b5b-8203690e7e69","resolution":{"observed_at":"2026-08-15T18:12:25.812029Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T18:12:25.790874Z","title":"Dwork,On the zeta function of a hypersurface, Inst","venue":null,"work_id":"1f595348-bc98-4eaf-bfb3-bc2354aac439","year":1962},"citing_paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T18:12:25.762237Z"},"links":{"citing_paper":"/paper/2507.18999"},"observation_digest":"sha256:ba09e41df9450b9587a8ef83bd3dee00c59565c261de1ae5f275dea7529ad83d","observation_id":"0fd25730-f0b7-4ff1-86f1-c6755d2ab5b9","resolution":{"observed_at":"2026-08-15T18:12:25.797751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.18999","last_updated":"2025-07-25T06:56:38Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-15T18:00:49.134556Z","submitted_at":"2025-07-25T06:56:38Z","title":"Constructive Proof of the Hodge Conjecture for K3 Surfaces via Nodal Degenerations"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":14},"total_outbound_references":20},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2507.18999."}