{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XMULJFMY7ERDKUUM4H7KCFUIPM","short_pith_number":"pith:XMULJFMY","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"},"canonical_sha256":"bb28b49598f92235528ce1fea116887b23dd389c917af432bd7854910db7beca","source":{"kind":"arxiv","id":"1801.04563","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04563","created_at":"2026-05-18T00:26:04Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04563v1","created_at":"2026-05-18T00:26:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04563","created_at":"2026-05-18T00:26:04Z"},{"alias_kind":"pith_short_12","alias_value":"XMULJFMY7ERD","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XMULJFMY7ERDKUUM","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XMULJFMY","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XMULJFMY7ERDKUUM4H7KCFUIPM","target":"record","payload":{"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"},"canonical_sha256":"bb28b49598f92235528ce1fea116887b23dd389c917af432bd7854910db7beca","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"},"source_kind":"arxiv","source_id":"1801.04563","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xNbKA6qQUrv0EqiXWDbTC4MHhPIzw1NHfwMxXvHAaoltitVj0utLa0UpfUmszM5Fp52CCpLqWfdsBSELBJ/YCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:10:52.498459Z"},"content_sha256":"70a866c3530be4a81d2c43bef857b24b38fdf2f9b2baa3569a16c3c1c965c0d0","schema_version":"1.0","event_id":"sha256:70a866c3530be4a81d2c43bef857b24b38fdf2f9b2baa3569a16c3c1c965c0d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XMULJFMY7ERDKUUM4H7KCFUIPM","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b/x2dVaJjjok4J6nOay0fkbvhgSyZCXcpUBntHflEf2+/jukjl+ZzqTRWWIATap1+avo3l3UV0OBy2FNaqhCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:10:52.498796Z"},"content_sha256":"8bbdaa0c0bd61a365b743ed5e802654d440afa53785305c8ec8d394f27165303","schema_version":"1.0","event_id":"sha256:8bbdaa0c0bd61a365b743ed5e802654d440afa53785305c8ec8d394f27165303"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/bundle.json","state_url":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T09:10:52Z","links":{"resolver":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM","bundle":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/bundle.json","state":"https://pith.science/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XMULJFMY7ERDKUUM4H7KCFUIPM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XMULJFMY7ERDKUUM4H7KCFUIPM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5bc84c40ff9e95ebab2812c94ab81d3e0af3e1f8d890b5e68c3a5c8a54ea871a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-14T14:29:42Z","title_canon_sha256":"0a1c9cbb8193e69a3bbf14ada85ebc6a2c02517705d028a4fbaa9af7348e9be2"},"schema_version":"1.0","source":{"id":"1801.04563","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04563","created_at":"2026-05-18T00:26:04Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04563v1","created_at":"2026-05-18T00:26:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04563","created_at":"2026-05-18T00:26:04Z"},{"alias_kind":"pith_short_12","alias_value":"XMULJFMY7ERD","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XMULJFMY7ERDKUUM","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XMULJFMY","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:8bbdaa0c0bd61a365b743ed5e802654d440afa53785305c8ec8d394f27165303","target":"graph","created_at":"2026-05-18T00:26:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Xiaosong Sun, Zhenzhen Feng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-14T14:29:42Z","title":"A case of the generalized vanishing conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04563","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:70a866c3530be4a81d2c43bef857b24b38fdf2f9b2baa3569a16c3c1c965c0d0","target":"record","created_at":"2026-05-18T00:26:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5bc84c40ff9e95ebab2812c94ab81d3e0af3e1f8d890b5e68c3a5c8a54ea871a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-01-14T14:29:42Z","title_canon_sha256":"0a1c9cbb8193e69a3bbf14ada85ebc6a2c02517705d028a4fbaa9af7348e9be2"},"schema_version":"1.0","source":{"id":"1801.04563","kind":"arxiv","version":1}},"canonical_sha256":"bb28b49598f92235528ce1fea116887b23dd389c917af432bd7854910db7beca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb28b49598f92235528ce1fea116887b23dd389c917af432bd7854910db7beca","first_computed_at":"2026-05-18T00:26:04.015107Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:04.015107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1AB1pvk7+poYzxEABcmf5NyyBpGuHgSee3eEMEpTo7iSeYDDrYQCx3hoO0OwgfkxrcSbHxGwMQNkuy4LTBgUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:04.015851Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.04563","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70a866c3530be4a81d2c43bef857b24b38fdf2f9b2baa3569a16c3c1c965c0d0","sha256:8bbdaa0c0bd61a365b743ed5e802654d440afa53785305c8ec8d394f27165303"],"state_sha256":"6f59b9365a13f83faaf7a1865d21ee98521efa27d43c0243ad4725472448601b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hv172JZ97iWiXPEPEZpNtgOLgyFrumGMz+AgxWqaAanm1/SMjRAuS91ZnTqP9JkguKtLsPzRjHInmQbQgMXuAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T09:10:52.500648Z","bundle_sha256":"ac1c9fd923d854dd4ab052b961045487079cc31279b592d76a1893eac0b03838"}}