{"as_of":"2026-08-17T06:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c8377bf2c31785bdeac3b5d37b0249fcc9a21475339b8ba7c64c2a89a709d6c9","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T08:23:23.942849Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T17:28:25.685251Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-08T12:18:47.353220Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"cited_work":{"arxiv_id":"2607.06426","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.06426","snapshot_observed_at":"2026-08-08T12:18:47.353220Z","title":"Genus one correspondence between tropical and algebraic curves","venue":"math.AG","work_id":"9b61f91b-7a0a-4be4-9d0a-89fa04d84076","year":2026},"citing_paper":{"arxiv_id":"2608.05486","last_updated":"2026-08-06T00:32:39Z","snapshot_observed_at":"2026-08-17T05:26:29.600160Z","submitted_at":"2026-08-06T00:32:39Z","title":"Elliptic curve counting in toric threefolds: virtual, enumerative, and tropical","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T12:18:46.129448Z"},"links":{"cited_paper":"/paper/2607.06426","citing_paper":"/paper/2608.05486"},"observation_digest":"sha256:c9baf4ffb16be4abecf09c5102c157fc691ac23e4525133a6c1f09332c02bc26","observation_id":"5f5c133c-b675-4cf0-b554-76fbc0e4cf17","resolution":{"observed_at":"2026-08-08T12:18:47.358537Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.06426","snapshot_observed_at":"2026-08-15T17:28:25.685251Z","title":"arXiv preprint arXiv:2607.06426 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.13081","last_updated":"2026-08-13T10:52:20Z","snapshot_observed_at":"2026-08-16T23:11:35.490473Z","submitted_at":"2026-08-13T10:52:20Z","title":"Tropical and algebraic elliptic plane curves with fixed j-invariant","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-15T17:28:25.685251Z"},"links":{"cited_paper":"/paper/2607.06426","citing_paper":"/paper/2608.13081"},"observation_digest":"sha256:fa773a9647fb5c92c11886fc6771852004aacda109a1220be87d6bd1491c1dca","observation_id":"b635ca40-1a08-43f5-932f-c777fab3e3f6","resolution":{"observed_at":"2026-08-15T17:28:25.685251Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2607.06426/citation-record","integrity":"/paper/2607.06426/integrity","json":"/paper/2607.06426/citation-record.json","paper":"/paper/2607.06426"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T08:23:19.978060Z","title":"3, 465--488","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:19.978060Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:648c08a86dd84d371485bda77aad54247e1ce5240cbd1ed2a622d4e7b0ef89f8","observation_id":"cd287891-4a71-4485-8aee-e2bc8608ead8","resolution":{"observed_at":"2026-08-02T08:23:19.978060Z","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":"2026-08-02T08:23:20.109151Z","title":"Griffiths, Geometry of A lgebraic C urves: V olume I I , A S eries of C omprehensive S tudies in M athematics, vol","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:20.109151Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:c0eddcedf5583e49c4ae06c45e242839e455bda00b9f309268db3110c3e3ba25","observation_id":"f2569ff0-669c-487d-a251-bc11ab943e79","resolution":{"observed_at":"2026-08-02T08:23:20.109151Z","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":"2026-08-02T08:23:20.203108Z","title":"10, 2020--2075","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:20.203108Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:3aad9a302041ceb54a3bad75daff793ed822f62d7d0f08c0bd7f6da90cfa89de","observation_id":"e2d9b084-8898-48ee-8cac-566397b60662","resolution":{"observed_at":"2026-08-02T08:23:20.203108Z","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":"2026-08-02T08:23:20.294724Z","title":"287--336","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:20.294724Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:e78f7ed73efea1546af5ea0c45737b748ee2bd5458baf30b7a7c0978db4673f3","observation_id":"f6edebe9-3fbe-4aa5-9da8-60f0dc420a79","resolution":{"observed_at":"2026-08-02T08:23:20.294724Z","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":"2026-08-02T08:23:20.378120Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:20.378120Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:2651caf8dc2b0a636263d552d9b3526d0c3c4746dcdd61aaa9f326c636259aec","observation_id":"13e46107-7d8f-44bd-b6db-84de5335b3f2","resolution":{"observed_at":"2026-08-02T08:23:20.378120Z","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":"2026-08-02T08:23:20.467953Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:20.467953Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:b0ed92f6d8355a9bdeafe4fa6daafe315407f52050188b71f10ef117211ff168","observation_id":"6d8b4c2e-b739-4df9-be99-bbb57d51cdab","resolution":{"observed_at":"2026-08-02T08:23:20.467953Z","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":"2026-08-02T08:23:20.557361Z","title":"6, 637--679","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:20.557361Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:be2252825357eb174969c0d4d5ae4e95d2f293a6e38f8df469925dd517e1a702","observation_id":"78880f07-cf2e-4062-a4c3-d3d301d84447","resolution":{"observed_at":"2026-08-02T08:23:20.557361Z","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":"2026-08-02T08:23:20.645674Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:20.645674Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:81bdc48b72a16376c48acecd74b5a75b210d887bcf379804f2bb37ad06594b74","observation_id":"9528fb86-a585-4720-8ef0-2629c9c352d0","resolution":{"observed_at":"2026-08-02T08:23:20.645674Z","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":"2026-08-02T08:23:20.738105Z","title":"Cox, John B","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:20.738105Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:292d4c6f1f32389ee9358a1bc13a1870ddc2c4b6a5439bcae66c85e2c355cac1","observation_id":"3740f4da-6080-48c6-a8b2-b2820c1e523c","resolution":{"observed_at":"2026-08-02T08:23:20.738105Z","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":"2026-08-02T08:23:20.877389Z","title":"2, 335--353","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:20.877389Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:af2e2be2250200294d7349b256f82cdaa66109aa03eac21dcbf9a06340c46ada","observation_id":"c5c6c38b-40b7-4f12-a462-690faf1039f7","resolution":{"observed_at":"2026-08-02T08:23:20.877389Z","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":"2026-08-02T08:23:21.023694Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:21.023694Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:96e8d0246fd95b0ae32203ceaa11319fa569f938edcd2470568e7822f005d84c","observation_id":"2027dc3f-8269-49a4-9ae3-e516efcdc3bb","resolution":{"observed_at":"2026-08-02T08:23:21.023694Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.02661","last_updated":"2025-01-07T13:50:39Z","snapshot_observed_at":"2026-08-16T15:26:38.364227Z","submitted_at":"2023-06-05T07:49:49Z","title":"Remarks on gluing punctured logarithmic maps","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.02661","snapshot_observed_at":"2026-08-02T08:23:21.183180Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:21.183180Z"},"links":{"cited_paper":"/paper/2306.02661","citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:6cb2363708de6fb412b33bb86f51289414df12530077ea97997837e72abfb99c","observation_id":"b07dc3d9-5f3d-46b0-b951-f620b218bf82","resolution":{"observed_at":"2026-08-02T08:23:21.183180Z","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":"2026-08-02T08:23:21.298070Z","title":"3, 779--842","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:21.298070Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:1f789b431c840e7086228d030a34764e9cdeb517d95ef44afa0afc2e6d6272f8","observation_id":"2a65faaf-b1c0-456d-a1f7-dc0f9fde3d0f","resolution":{"observed_at":"2026-08-02T08:23:21.298070Z","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":"2026-08-02T08:23:21.415419Z","title":"2, 451--510","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:21.415419Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:5db033122ae91a589c918219bc6c3948ab1933761dea214519ac10d0267c3f53","observation_id":"ef707dc8-0e08-4d21-865f-a06bff9614dc","resolution":{"observed_at":"2026-08-02T08:23:21.415419Z","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":"2026-08-02T08:23:21.537099Z","title":"2, 279 -- 324","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:21.537099Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:29d89484d114af0690bad199ce5176eb18f50fb5d5f4db61a48666a58bb1c393","observation_id":"4c79e824-2106-432f-9cbd-953adbb63375","resolution":{"observed_at":"2026-08-02T08:23:21.537099Z","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":"2026-08-02T08:23:21.635706Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:21.635706Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:4f8127079878fbaf4624f183aacc8d09ba7dd7c09b1a8e4a6dfc0ef9b0345a69","observation_id":"ff7a18d3-2ecc-4cd4-ab06-6b2a34a371a0","resolution":{"observed_at":"2026-08-02T08:23:21.635706Z","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":"2026-08-02T08:23:21.754219Z","title":"2, 387--427","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:21.754219Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:5ad5d11a57f86d95a7ef5c4cc33fe19aba2691cb4f1b81dca9955f1279c92303","observation_id":"454c5da7-4bc0-4585-96b5-a7a5a1b144a9","resolution":{"observed_at":"2026-08-02T08:23:21.754219Z","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":"2026-08-02T08:23:21.906936Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:21.906936Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:a559260448357a20cb331e62530ca56fbee177e82c9fcde2d0e03ac90a340045","observation_id":"f180756f-1a93-41ec-87b1-a58ca1149101","resolution":{"observed_at":"2026-08-02T08:23:21.906936Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03518","last_updated":"2026-03-02T19:45:10Z","snapshot_observed_at":"2026-08-17T04:15:09.293638Z","submitted_at":"2024-11-05T21:43:05Z","title":"The dual complex of $\\mathcal{M}_{1,n}(\\mathbb{P}^r,d)$ via the geometry of the Vakil--Zinger moduli space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.03518","snapshot_observed_at":"2026-08-02T08:23:22.047164Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:22.047164Z"},"links":{"cited_paper":"/paper/2411.03518","citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:8bb5d75cea44157fb20fda9591b8f93697bb1647683bbd8216527ed4e96a028e","observation_id":"fc6c8852-8147-4452-9f85-6bf8f37920b3","resolution":{"observed_at":"2026-08-02T08:23:22.047164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.20831","last_updated":"2026-06-25T05:00:11Z","snapshot_observed_at":"2026-08-16T13:05:28.342820Z","submitted_at":"2024-10-28T08:29:39Z","title":"Combinatorics of Hurwitz degenerations and tropical realizability","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.20831","snapshot_observed_at":"2026-08-02T08:23:22.153881Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:22.153881Z"},"links":{"cited_paper":"/paper/2410.20831","citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:5f090bc7776e90217537fdbecc0d850d2ba332aa75e6e2d2529ccd2b06d55a80","observation_id":"72bada79-21c6-4db1-b637-89928e76f828","resolution":{"observed_at":"2026-08-02T08:23:22.153881Z","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":"2026-08-02T08:23:22.325053Z","title":"1, 351--385","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:22.325053Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:f0bd5097e01531361a09c34ed787d46aa756dbcc4fa2e3450bf108f35138504a","observation_id":"8024f358-c3ad-4a13-8d16-87183c83bb5c","resolution":{"observed_at":"2026-08-02T08:23:22.325053Z","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":"2026-08-02T08:23:22.433630Z","title":"2, 313--377, Published electronically: January 20, 2005","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:22.433630Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:6fa6f002cab60520996d02759a280b1a0fc3020a64079acade6896294df5b654","observation_id":"93bbd65a-b0ff-4a8c-9461-3add4c5d338e","resolution":{"observed_at":"2026-08-02T08:23:22.433630Z","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":"2026-08-02T08:23:22.550178Z","title":"Molcho, R","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:22.550178Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:86989811f3118e6f6c3ba6e5d2f82b50713ce8adf5c98c6109975366e165de95","observation_id":"cda0fd6c-d424-4087-94e3-914cc147c71c","resolution":{"observed_at":"2026-08-02T08:23:22.550178Z","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":"2026-08-02T08:23:22.667966Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:22.667966Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:666f9b3e8ac12b884c41e1e0e31092ab0a1c576f2cec6329d38fd2095cde4e24","observation_id":"9dadaed4-a390-4d38-b5d4-8e2361dec901","resolution":{"observed_at":"2026-08-02T08:23:22.667966Z","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":"2026-08-02T08:23:22.815307Z","title":"1, 1--51","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:22.815307Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:ba73c235cea169add97b121ff0474695ff2140d4afa7e203729c51e156861a92","observation_id":"ebe84c38-0fbb-475f-889d-55e53a76dc82","resolution":{"observed_at":"2026-08-02T08:23:22.815307Z","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":"2026-08-02T08:23:22.843971Z","title":"178, Cambridge University Press, 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:22.843971Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:0e3d1a54216a55dbaae573eea501cea8bd140b9f5d88fa6039632a835bc1e278","observation_id":"a7512030-81d3-46e1-a788-ecd28692c803","resolution":{"observed_at":"2026-08-02T08:23:22.843971Z","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":"2026-08-02T08:23:22.926139Z","title":"Olsson, Logarithmic geometry and algebraic stacks, Annales Scientifiques de l'\\'Ecole Normale Sup\\'erieure 36 (2003), no","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:22.926139Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:71e4ac9cf8888705b641c74f51c9800b5966190662cb18a4b4e18075666d4af4","observation_id":"47ef8ef7-5b28-422e-b00e-3264d65e57c5","resolution":{"observed_at":"2026-08-02T08:23:22.926139Z","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":"2026-08-02T08:23:23.002486Z","title":"12, 3471--3479","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:23.002486Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:00726d0c957fdb347fe07823a6d94e86cbc658ca5526cd2e6be7ad25d36dbc29","observation_id":"f0eb987a-10a0-48e6-96bc-858209bea079","resolution":{"observed_at":"2026-08-02T08:23:23.002486Z","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":"2026-08-02T08:23:23.080670Z","title":"3, 804--832","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:23.080670Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:2ea2e542916829abece238bb760e9f4b03bf6379cb4b6bdf11cf2dfcc5b683a4","observation_id":"493a51d3-06f2-4ada-ba7e-8ec061cb34fe","resolution":{"observed_at":"2026-08-02T08:23:23.080670Z","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":"2026-08-02T08:23:23.107466Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:23.107466Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:744552c216933b6e72507f901f1b654fdc5290283227b0d3bcb3254868240e7b","observation_id":"352804dc-f61a-49f5-91cb-1e18881c32b3","resolution":{"observed_at":"2026-08-02T08:23:23.107466Z","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":"2026-08-02T08:23:23.246556Z","title":"7, 3315--3366","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:23.246556Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:23f2e16147273d864079e7468bb5a55c728f5c9bd7bfb7b2d11c41307f540dba","observation_id":"2a7398ea-432d-408e-a663-293fdbd1afba","resolution":{"observed_at":"2026-08-02T08:23:23.246556Z","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":"2026-08-02T08:23:23.397047Z","title":"8, 1765--1805","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:23.397047Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:6459cb621180b626eea9c9f554478ec88bdfbda5a9e7c2e62190da60f008934d","observation_id":"628eedf4-201d-4659-b268-0a29930dcaca","resolution":{"observed_at":"2026-08-02T08:23:23.397047Z","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":"2026-08-02T08:23:23.541936Z","title":"Speyer, Tropical geometry, Ph.d","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:23.541936Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:fec2c45752b27102aa124d55e2fe4af8a4cd2f2c0cdb75b565a43846cf6a2d22","observation_id":"b3dcbe70-d4ff-4372-91fe-d317fdc59659","resolution":{"observed_at":"2026-08-02T08:23:23.541936Z","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":"2026-08-02T08:23:23.720596Z","title":"4, 963 -- 998","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:23.720596Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:30245c13270d6132f874031c27b3d163a3e1cc68cc7b76c8ddcf648ddad41595","observation_id":"558f1d68-4116-44b0-b406-e294e6fded5a","resolution":{"observed_at":"2026-08-02T08:23:23.720596Z","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":"2026-08-02T08:23:23.828884Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:23.828884Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:3ace7ba6e01d4de57700ed3003657de2efc5a639401a01ebddc762067dad59aa","observation_id":"cbaf2c74-961f-4244-8db3-46471f22a0ca","resolution":{"observed_at":"2026-08-02T08:23:23.828884Z","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":"2026-08-02T08:23:23.942849Z","title":"1, 50--63","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-02T08:23:23.942849Z"},"links":{"citing_paper":"/paper/2607.06426"},"observation_digest":"sha256:6e57531d4c3cbbd307b04c1e2ba5b0d3d713fdab4eca5f8a1fa31b97b8297b64","observation_id":"ec5f110b-e616-4099-9ede-7e9793dd091d","resolution":{"observed_at":"2026-08-02T08:23:23.942849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.06426","last_updated":"2026-07-21T09:35:29Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-02T08:23:16.280639Z","submitted_at":"2026-07-07T15:54:23Z","title":"Genus one correspondence between tropical and algebraic curves"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":36,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":36},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 2 inbound Pith citation observations for arXiv:2607.06426."}