{"as_of":"2026-08-10T08:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f174833025754daacc9f33da8141e3ed68d9cfbdf584d5a5630f96360c9ade0e","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T23:58:13.279374Z","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":"2026-07-04T19:00:05.491166Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-08-06T23:58:13.279374Z","title":"Moduli- dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.15766","last_updated":"2025-06-18T18:00:00Z","snapshot_observed_at":"2026-08-10T02:51:31.538875Z","submitted_at":"2025-06-18T18:00:00Z","title":"Approximate Ricci-flat Metrics for Calabi-Yau Manifolds","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T23:58:13.279374Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2506.15766"},"observation_digest":"sha256:25d38297cb5c2c86cebbca0b7195c3273140d4cd55009809065ee56e7591d5a9","observation_id":"479de54b-28ea-41d2-822f-6ebf1200598e","resolution":{"observed_at":"2026-08-06T23:58:13.279374Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-08-06T20:26:37.855687Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.03076","last_updated":"2025-07-03T18:00:03Z","snapshot_observed_at":"2026-08-09T21:58:20.668495Z","submitted_at":"2025-07-03T18:00:03Z","title":"Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T20:26:37.855687Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2507.03076"},"observation_digest":"sha256:cff1ecec7fdf13719e440d1eb1cdbf50b9ed50483afabe657bff67947d6192e2","observation_id":"4e84305e-e2d3-4d9a-b0fa-415a67e50c92","resolution":{"observed_at":"2026-08-06T20:26:37.855687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-08-05T16:00:33.663296Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.19157","last_updated":"2025-08-26T16:09:00Z","snapshot_observed_at":"2026-08-09T23:25:50.638679Z","submitted_at":"2025-08-26T16:09:00Z","title":"Machine Learning Free Quotients of CICYs","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T16:00:33.663296Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2508.19157"},"observation_digest":"sha256:287ab2571d05a0a4dcb552b91a3a5f42857482c9f5db5e7bc55c2e2645b9b90b","observation_id":"2a211e83-d8be-43a2-87b3-b74bcdffb42f","resolution":{"observed_at":"2026-08-05T16:00:33.663296Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":"2012.04656","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-07-04T19:00:05.491166Z","title":"and Gerdes, Mathis and Gray, James and Krippendorf, Sven and Raghuram, Nikhil and Ruehle, Fabian , doi =","venue":null,"work_id":"c5b389ac-5dc1-464c-a8ab-3bbb9d423c60","year":2021},"citing_paper":{"arxiv_id":"2604.21997","last_updated":"2026-04-23T18:28:20Z","snapshot_observed_at":"2026-08-02T14:20:13.995909Z","submitted_at":"2026-04-23T18:28:20Z","title":"A Physicist's Visit to Exotic Spheres","version":1},"reference_index":173,"source":"arxiv_source","source_observed_at":"2026-05-09T20:47:25.385599Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2604.21997"},"observation_digest":"sha256:9659ddf905760f043af26c86fa1028f68c4fa432f740033e1078d2f67cb01941","observation_id":"32672b69-1bc1-4795-8167-7b590683ab92","resolution":{"observed_at":"2026-05-11T15:01:05.159353Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":"2012.04656","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-07-04T19:00:05.491166Z","title":"and Gerdes, Mathis and Gray, James and Krippendorf, Sven and Raghuram, Nikhil and Ruehle, Fabian , doi =","venue":null,"work_id":"c5b389ac-5dc1-464c-a8ab-3bbb9d423c60","year":2021},"citing_paper":{"arxiv_id":"2605.23900","last_updated":"2026-07-27T15:30:11Z","snapshot_observed_at":"2026-08-02T13:21:47.849652Z","submitted_at":"2026-05-22T17:59:20Z","title":"What to do with a Ricci-flat Calabi--Yau metric?","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-25T03:30:02.985644Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2605.23900"},"observation_digest":"sha256:89151fd388ae328549288e2954cd570c96166105645969100e2b3ae6ed5894b4","observation_id":"5a26a0c3-7096-4512-8838-9721e543db0b","resolution":{"observed_at":"2026-05-25T03:30:16.826839Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-08-02T13:21:49.087684Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.23900","last_updated":"2026-07-27T15:30:11Z","snapshot_observed_at":"2026-08-02T13:21:47.849652Z","submitted_at":"2026-05-22T17:59:20Z","title":"What to do with a Ricci-flat Calabi--Yau metric?","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T13:21:49.087684Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2605.23900"},"observation_digest":"sha256:36d58f7b842ae951e458903423835bda2818d2e1891c73553bca1e6249d5fe9f","observation_id":"edc22136-6625-4192-80b7-5386db78ed75","resolution":{"observed_at":"2026-08-02T13:21:49.087684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":"2012.04656","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-07-04T19:00:05.491166Z","title":"and Gerdes, Mathis and Gray, James and Krippendorf, Sven and Raghuram, Nikhil and Ruehle, Fabian , doi =","venue":null,"work_id":"c5b389ac-5dc1-464c-a8ab-3bbb9d423c60","year":2021},"citing_paper":{"arxiv_id":"2606.25016","last_updated":"2026-06-23T18:00:00Z","snapshot_observed_at":"2026-08-06T06:12:53.942938Z","submitted_at":"2026-06-23T18:00:00Z","title":"Lost in Translation: Moduli Stabilization from EFT to Eleven Dimensions","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-25T22:06:57.968274Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2606.25016"},"observation_digest":"sha256:fe0921da3174842a1accf57e5b79bc515bf8ff07cae8a393702178432620de96","observation_id":"f40c48fe-b99e-421a-9b3b-240216b8ecad","resolution":{"observed_at":"2026-07-04T19:00:05.493902Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-07-12T06:14:03.658427Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.02905","last_updated":"2026-07-03T03:04:12Z","snapshot_observed_at":"2026-08-07T12:25:44.783974Z","submitted_at":"2026-07-03T03:04:12Z","title":"Pre-Strings Lectures on Artificial Intelligence","version":1},"reference_index":120,"source":"pdf_text","source_observed_at":"2026-07-12T06:14:03.658427Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2607.02905"},"observation_digest":"sha256:57e3050bc169f71da250ae9911c22f9ea0313beb5e59bf73df29a21d46203624","observation_id":"39092b77-ad71-4244-8f91-7dc59dd44110","resolution":{"observed_at":"2026-07-12T06:14:03.658427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-08-01T15:35:42.527507Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18402","last_updated":"2026-07-20T18:00:24Z","snapshot_observed_at":"2026-08-09T03:59:03.454569Z","submitted_at":"2026-07-20T18:00:24Z","title":"Warped Numerical Calabi-Yau Metrics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T15:35:42.527507Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2607.18402"},"observation_digest":"sha256:5acdf6cdbac80bc4abfccfeadd6d75280cea0376f61647aa6b135f91b2136be1","observation_id":"348acaab-19b4-4b40-a734-18bad3909e52","resolution":{"observed_at":"2026-08-01T15:35:42.527507Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.04656","snapshot_observed_at":"2026-08-01T01:41:52.831606Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.25733","last_updated":"2026-07-28T13:57:27Z","snapshot_observed_at":"2026-08-10T00:05:33.481673Z","submitted_at":"2026-07-28T13:57:27Z","title":"Balanced Metrics Know About SYZ","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T01:41:52.831606Z"},"links":{"cited_paper":"/paper/2012.04656","citing_paper":"/paper/2607.25733"},"observation_digest":"sha256:790f6428fbb722733ea74771ce6b0cb61a4c8836e1522ae635b2f3ed8e37ad01","observation_id":"c2b96ccb-3a42-4f2a-b471-981edc2af4b9","resolution":{"observed_at":"2026-08-01T01:41:52.831606Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2012.04656/citation-record","integrity":"/paper/2012.04656/integrity","json":"/paper/2012.04656/citation-record.json","paper":"/paper/2012.04656"},"outbound":[],"paper":{"arxiv_id":"2012.04656","last_updated":"2021-05-19T10:50:28Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T10:21:55.612402Z","submitted_at":"2020-12-08T19:00:01Z","title":"Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2012.04656."}