{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:5D6JVOFD7V25FCQTQLIRFITRT4","short_pith_number":"pith:5D6JVOFD","canonical_record":{"source":{"id":"1901.07967","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-23T15:59:00Z","cross_cats_sorted":[],"title_canon_sha256":"ecd481250a814714a42597670de33c488bff7d11be3f43430772f34178db089b","abstract_canon_sha256":"0f7e8c05c2a6b7df51107db40969d1ecf0673b434271b6326b0853946a9b2d22"},"schema_version":"1.0"},"canonical_sha256":"e8fc9ab8a3fd75d28a1382d112a2719f0e31081f12f42c8f3f914e286a61c55f","source":{"kind":"arxiv","id":"1901.07967","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07967","created_at":"2026-05-17T23:48:04Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07967v3","created_at":"2026-05-17T23:48:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07967","created_at":"2026-05-17T23:48:04Z"},{"alias_kind":"pith_short_12","alias_value":"5D6JVOFD7V25","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5D6JVOFD7V25FCQT","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5D6JVOFD","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:5D6JVOFD7V25FCQTQLIRFITRT4","target":"record","payload":{"canonical_record":{"source":{"id":"1901.07967","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-23T15:59:00Z","cross_cats_sorted":[],"title_canon_sha256":"ecd481250a814714a42597670de33c488bff7d11be3f43430772f34178db089b","abstract_canon_sha256":"0f7e8c05c2a6b7df51107db40969d1ecf0673b434271b6326b0853946a9b2d22"},"schema_version":"1.0"},"canonical_sha256":"e8fc9ab8a3fd75d28a1382d112a2719f0e31081f12f42c8f3f914e286a61c55f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:04.600742Z","signature_b64":"jbK5ZP2Fz+GJVufS3yP7PB2IDSfZNeJSdLu4adA6mV5RikJ0SLNkYyJR08pOv68pHmEAtZ67+M1lMbOmx0YhAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8fc9ab8a3fd75d28a1382d112a2719f0e31081f12f42c8f3f914e286a61c55f","last_reissued_at":"2026-05-17T23:48:04.600363Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:04.600363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.07967","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:48:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"asmD9ewQeBpntmLtqGcI2oqDa38NsDLa8zH2cI3gTCPSYxueKTTCAmLKXcoXIJaALNilDf/PFCAOAeDGjYToDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T18:05:12.267989Z"},"content_sha256":"cce054ca096ca328ef775f79fd6bc4ec53055bc9e7f631e25abf85129e46e078","schema_version":"1.0","event_id":"sha256:cce054ca096ca328ef775f79fd6bc4ec53055bc9e7f631e25abf85129e46e078"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:5D6JVOFD7V25FCQTQLIRFITRT4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resurgence numbers of fiber products of projective schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Abu Chackalamannil Thomas, A.V. Jayanthan, Huy Tai Ha, Sankhaneel Bisui","submitted_at":"2019-01-23T15:59:00Z","abstract_excerpt":"We investigate the resurgence and asymptotic resurgence numbers of fiber products of projective schemes. Particularly, we show that while the asymptotic resurgence number of the k-fold fiber product of a projective scheme remains unchanged, its resurgence number could strictly increase."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07967","kind":"arxiv","version":3},"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":"2026-05-17T23:48:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LZh5uHuptYHUliegkMlCOgpBnJ5/8qBY8KR9pV5htx5lH1UHwuQ6WunoMPbxdeh3Qy8qqr4j49Nw65UbZ7z9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T18:05:12.268355Z"},"content_sha256":"2840cbc7a7dfe993430afd2b7dabdcf4b8ca39c6f664282918fa7f4a649e2c4f","schema_version":"1.0","event_id":"sha256:2840cbc7a7dfe993430afd2b7dabdcf4b8ca39c6f664282918fa7f4a649e2c4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5D6JVOFD7V25FCQTQLIRFITRT4/bundle.json","state_url":"https://pith.science/pith/5D6JVOFD7V25FCQTQLIRFITRT4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5D6JVOFD7V25FCQTQLIRFITRT4/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":"2026-06-10T18:05:12Z","links":{"resolver":"https://pith.science/pith/5D6JVOFD7V25FCQTQLIRFITRT4","bundle":"https://pith.science/pith/5D6JVOFD7V25FCQTQLIRFITRT4/bundle.json","state":"https://pith.science/pith/5D6JVOFD7V25FCQTQLIRFITRT4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5D6JVOFD7V25FCQTQLIRFITRT4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5D6JVOFD7V25FCQTQLIRFITRT4","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":"0f7e8c05c2a6b7df51107db40969d1ecf0673b434271b6326b0853946a9b2d22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-23T15:59:00Z","title_canon_sha256":"ecd481250a814714a42597670de33c488bff7d11be3f43430772f34178db089b"},"schema_version":"1.0","source":{"id":"1901.07967","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07967","created_at":"2026-05-17T23:48:04Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07967v3","created_at":"2026-05-17T23:48:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07967","created_at":"2026-05-17T23:48:04Z"},{"alias_kind":"pith_short_12","alias_value":"5D6JVOFD7V25","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5D6JVOFD7V25FCQT","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5D6JVOFD","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:2840cbc7a7dfe993430afd2b7dabdcf4b8ca39c6f664282918fa7f4a649e2c4f","target":"graph","created_at":"2026-05-17T23:48:04Z","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":"We investigate the resurgence and asymptotic resurgence numbers of fiber products of projective schemes. Particularly, we show that while the asymptotic resurgence number of the k-fold fiber product of a projective scheme remains unchanged, its resurgence number could strictly increase.","authors_text":"Abu Chackalamannil Thomas, A.V. Jayanthan, Huy Tai Ha, Sankhaneel Bisui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-23T15:59:00Z","title":"Resurgence numbers of fiber products of projective schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07967","kind":"arxiv","version":3},"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:cce054ca096ca328ef775f79fd6bc4ec53055bc9e7f631e25abf85129e46e078","target":"record","created_at":"2026-05-17T23:48:04Z","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":"0f7e8c05c2a6b7df51107db40969d1ecf0673b434271b6326b0853946a9b2d22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-23T15:59:00Z","title_canon_sha256":"ecd481250a814714a42597670de33c488bff7d11be3f43430772f34178db089b"},"schema_version":"1.0","source":{"id":"1901.07967","kind":"arxiv","version":3}},"canonical_sha256":"e8fc9ab8a3fd75d28a1382d112a2719f0e31081f12f42c8f3f914e286a61c55f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8fc9ab8a3fd75d28a1382d112a2719f0e31081f12f42c8f3f914e286a61c55f","first_computed_at":"2026-05-17T23:48:04.600363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:04.600363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jbK5ZP2Fz+GJVufS3yP7PB2IDSfZNeJSdLu4adA6mV5RikJ0SLNkYyJR08pOv68pHmEAtZ67+M1lMbOmx0YhAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:04.600742Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.07967","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cce054ca096ca328ef775f79fd6bc4ec53055bc9e7f631e25abf85129e46e078","sha256:2840cbc7a7dfe993430afd2b7dabdcf4b8ca39c6f664282918fa7f4a649e2c4f"],"state_sha256":"6d20c3e5d660bcd2b405ebea50827caff0dce4981d097b953b8e8ba55e8f77a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rA5llbReodNiQbbiSwvxl95Ppxe94ZtaZR4VjC4Fl8xyQ+o581FYyLptl+ns79pANHRg2dske0i7qtfan6XqDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T18:05:12.270353Z","bundle_sha256":"28da6d05e1a11d80bb4dd579003fef4b8f9f2185c754869c4c79d78c7f6ce5f0"}}