{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:XMULJFMY7ERDKUUM4H7KCFUIPM","short_pith_number":"pith:XMULJFMY","schema_version":"1.0","canonical_sha256":"bb28b49598f92235528ce1fea116887b23dd389c917af432bd7854910db7beca","source":{"kind":"arxiv","id":"1801.04563","version":1},"attestation_state":"computed","paper":{"title":"A case of the generalized vanishing conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Xiaosong Sun, Zhenzhen Feng","submitted_at":"2018-01-14T14:29:42Z","abstract_excerpt":"In this paper, we show that the GVC (generalized vanishing conjecture) holds for the differential operator $\\Lambda=(\\partial_x-\\Phi(\\partial_y))\\partial_y$ and all polynomials $P(x,y)$, where $\\Phi(t)$ is any polynomial over the base field. The GVC arose from the study of the Jacobian conjecture."},"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":"1801.04563","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-14T14:29:42Z","cross_cats_sorted":[],"title_canon_sha256":"0a1c9cbb8193e69a3bbf14ada85ebc6a2c02517705d028a4fbaa9af7348e9be2","abstract_canon_sha256":"5bc84c40ff9e95ebab2812c94ab81d3e0af3e1f8d890b5e68c3a5c8a54ea871a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:04.015851Z","signature_b64":"1AB1pvk7+poYzxEABcmf5NyyBpGuHgSee3eEMEpTo7iSeYDDrYQCx3hoO0OwgfkxrcSbHxGwMQNkuy4LTBgUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb28b49598f92235528ce1fea116887b23dd389c917af432bd7854910db7beca","last_reissued_at":"2026-05-18T00:26:04.015107Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:04.015107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A case of the generalized vanishing conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Xiaosong Sun, Zhenzhen Feng","submitted_at":"2018-01-14T14:29:42Z","abstract_excerpt":"In this paper, we show that the GVC (generalized vanishing conjecture) holds for the differential operator $\\Lambda=(\\partial_x-\\Phi(\\partial_y))\\partial_y$ and all polynomials $P(x,y)$, where $\\Phi(t)$ is any polynomial over the base field. The GVC arose from the study of the Jacobian conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04563","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":"1801.04563","created_at":"2026-05-18T00:26:04.015227+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.04563v1","created_at":"2026-05-18T00:26:04.015227+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04563","created_at":"2026-05-18T00:26:04.015227+00:00"},{"alias_kind":"pith_short_12","alias_value":"XMULJFMY7ERD","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"XMULJFMY7ERDKUUM","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"XMULJFMY","created_at":"2026-05-18T12:33:01.666342+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/XMULJFMY7ERDKUUM4H7KCFUIPM","json":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM.json","graph_json":"https://pith.science/api/pith-number/XMULJFMY7ERDKUUM4H7KCFUIPM/graph.json","events_json":"https://pith.science/api/pith-number/XMULJFMY7ERDKUUM4H7KCFUIPM/events.json","paper":"https://pith.science/paper/XMULJFMY"},"agent_actions":{"view_html":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM","download_json":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM.json","view_paper":"https://pith.science/paper/XMULJFMY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.04563&json=true","fetch_graph":"https://pith.science/api/pith-number/XMULJFMY7ERDKUUM4H7KCFUIPM/graph.json","fetch_events":"https://pith.science/api/pith-number/XMULJFMY7ERDKUUM4H7KCFUIPM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/action/storage_attestation","attest_author":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/action/author_attestation","sign_citation":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/action/citation_signature","submit_replication":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/action/replication_record"}},"created_at":"2026-05-18T00:26:04.015227+00:00","updated_at":"2026-05-18T00:26:04.015227+00:00"}