{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ZFKHYHORJ6P6OM6DNKPNGM6AA5","short_pith_number":"pith:ZFKHYHOR","schema_version":"1.0","canonical_sha256":"c9547c1dd14f9fe733c36a9ed333c00748547667708bc2bc7b2e775e024aaae8","source":{"kind":"arxiv","id":"1205.3987","version":1},"attestation_state":"computed","paper":{"title":"Towards a Tropical Proof of the Gieseker-Petri Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Cristina Mata, Dat Nguyen, David Jensen, Shalin Parekh, Vyassa Baratham","submitted_at":"2012-05-17T17:26:20Z","abstract_excerpt":"We use tropical techniques to prove a case of the Gieseker-Petri Theorem. Specifically, we show that the general curve of arbitrary genus does not admit a Gieseker-Petri special pencil."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.3987","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-17T17:26:20Z","cross_cats_sorted":[],"title_canon_sha256":"7e15e2bfa1f0fe20456d2a7d85a03d468bde76baa416a1d212d3f424b057e11a","abstract_canon_sha256":"2d1345594916c9020a9f602dbf61ef54a7d246c5bdc603f8b6c8f4a46bde6424"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:24.050110Z","signature_b64":"ul8ekC6eljuZT37k7SOK11Qh7ysRrS0RJbIZZxmAMkCiFpMdg6Al8G6euJvO9rptMInvw26qIFkKWG8mGH7lCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9547c1dd14f9fe733c36a9ed333c00748547667708bc2bc7b2e775e024aaae8","last_reissued_at":"2026-05-18T03:55:24.049421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:24.049421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards a Tropical Proof of the Gieseker-Petri Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Cristina Mata, Dat Nguyen, David Jensen, Shalin Parekh, Vyassa Baratham","submitted_at":"2012-05-17T17:26:20Z","abstract_excerpt":"We use tropical techniques to prove a case of the Gieseker-Petri Theorem. Specifically, we show that the general curve of arbitrary genus does not admit a Gieseker-Petri special pencil."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3987","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1205.3987","created_at":"2026-05-18T03:55:24.049548+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.3987v1","created_at":"2026-05-18T03:55:24.049548+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3987","created_at":"2026-05-18T03:55:24.049548+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZFKHYHORJ6P6","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZFKHYHORJ6P6OM6D","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZFKHYHOR","created_at":"2026-05-18T12:27:30.460161+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZFKHYHORJ6P6OM6DNKPNGM6AA5","json":"https://pith.science/pith/ZFKHYHORJ6P6OM6DNKPNGM6AA5.json","graph_json":"https://pith.science/api/pith-number/ZFKHYHORJ6P6OM6DNKPNGM6AA5/graph.json","events_json":"https://pith.science/api/pith-number/ZFKHYHORJ6P6OM6DNKPNGM6AA5/events.json","paper":"https://pith.science/paper/ZFKHYHOR"},"agent_actions":{"view_html":"https://pith.science/pith/ZFKHYHORJ6P6OM6DNKPNGM6AA5","download_json":"https://pith.science/pith/ZFKHYHORJ6P6OM6DNKPNGM6AA5.json","view_paper":"https://pith.science/paper/ZFKHYHOR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.3987&json=true","fetch_graph":"https://pith.science/api/pith-number/ZFKHYHORJ6P6OM6DNKPNGM6AA5/graph.json","fetch_events":"https://pith.science/api/pith-number/ZFKHYHORJ6P6OM6DNKPNGM6AA5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZFKHYHORJ6P6OM6DNKPNGM6AA5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZFKHYHORJ6P6OM6DNKPNGM6AA5/action/storage_attestation","attest_author":"https://pith.science/pith/ZFKHYHORJ6P6OM6DNKPNGM6AA5/action/author_attestation","sign_citation":"https://pith.science/pith/ZFKHYHORJ6P6OM6DNKPNGM6AA5/action/citation_signature","submit_replication":"https://pith.science/pith/ZFKHYHORJ6P6OM6DNKPNGM6AA5/action/replication_record"}},"created_at":"2026-05-18T03:55:24.049548+00:00","updated_at":"2026-05-18T03:55:24.049548+00:00"}