{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:GR4NVICWVQMMWEXYZ47TQXHU74","short_pith_number":"pith:GR4NVICW","canonical_record":{"source":{"id":"2103.14780","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-03-27T00:50:45Z","cross_cats_sorted":[],"title_canon_sha256":"af6cfbef164e16c85713ce85aaab59f706b132b7d174a22ce067d55b3da55d65","abstract_canon_sha256":"82277a3f9cb1dd9aa325e796e10ba71ade0b0bdef5306d507b488e57bf09ee56"},"schema_version":"1.0"},"canonical_sha256":"3478daa056ac18cb12f8cf3f385cf4ff108cbadd2aa5689928cc2ec4b35c48b4","source":{"kind":"arxiv","id":"2103.14780","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.14780","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"arxiv_version","alias_value":"2103.14780v3","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.14780","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"pith_short_12","alias_value":"GR4NVICWVQMM","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"pith_short_16","alias_value":"GR4NVICWVQMMWEXY","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"pith_short_8","alias_value":"GR4NVICW","created_at":"2026-07-05T08:50:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:GR4NVICWVQMMWEXYZ47TQXHU74","target":"record","payload":{"canonical_record":{"source":{"id":"2103.14780","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-03-27T00:50:45Z","cross_cats_sorted":[],"title_canon_sha256":"af6cfbef164e16c85713ce85aaab59f706b132b7d174a22ce067d55b3da55d65","abstract_canon_sha256":"82277a3f9cb1dd9aa325e796e10ba71ade0b0bdef5306d507b488e57bf09ee56"},"schema_version":"1.0"},"canonical_sha256":"3478daa056ac18cb12f8cf3f385cf4ff108cbadd2aa5689928cc2ec4b35c48b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:50:22.550631Z","signature_b64":"MUu2gvHFimkC4n3yPDlE5ciP1hZ+XQ5wgm76J2XegIhBLAJoddYPkZ7Sjg8nHXq9iRG/JVTCMmDYEoIdNjL2AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3478daa056ac18cb12f8cf3f385cf4ff108cbadd2aa5689928cc2ec4b35c48b4","last_reissued_at":"2026-07-05T08:50:22.550167Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:50:22.550167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.14780","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":"2026-07-05T08:50:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zvY0YdIOr+3S4gof2uH2GLvsx8YokKTVCknhOK92kVf9DqFHwgazfthwEJaforEZljBzdWfzJGPhl9JeJZvbBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T09:39:12.759191Z"},"content_sha256":"d9c8ed7e66805f089c1c8b967adb78653045dd9def39179da287e3175721738e","schema_version":"1.0","event_id":"sha256:d9c8ed7e66805f089c1c8b967adb78653045dd9def39179da287e3175721738e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:GR4NVICWVQMMWEXYZ47TQXHU74","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Splitting of Gromov-Witten Invariants with Toric Gluing Strata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Yixian Wu","submitted_at":"2021-03-27T00:50:45Z","abstract_excerpt":"We prove a splitting formula that reconstructs the logarithmic Gromov- Witten invariants of simple normal crossing varieties from the punctured Gromov- Witten invariants of their irreducible components, under the assumption of the gluing strata being toric varieties. The formula is based on the punctured Gromov-Witten theory developed in arXiv:2009.07720."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.14780","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.14780/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:50:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KFbRkPiNhPA6sYBiQr8X1i/Zejuqarw+th9DC8KxTzhP4lCu8518u2cCqLdr7PRsxi4eHtQJ/8BpKz8axVz6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T09:39:12.760095Z"},"content_sha256":"1f5dc862fab7d576920d15c3975afaf2d774ac662d29322d2b6155a12f3bb4f8","schema_version":"1.0","event_id":"sha256:1f5dc862fab7d576920d15c3975afaf2d774ac662d29322d2b6155a12f3bb4f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GR4NVICWVQMMWEXYZ47TQXHU74/bundle.json","state_url":"https://pith.science/pith/GR4NVICWVQMMWEXYZ47TQXHU74/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GR4NVICWVQMMWEXYZ47TQXHU74/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":"2026-08-16T09:39:12Z","links":{"resolver":"https://pith.science/pith/GR4NVICWVQMMWEXYZ47TQXHU74","bundle":"https://pith.science/pith/GR4NVICWVQMMWEXYZ47TQXHU74/bundle.json","state":"https://pith.science/pith/GR4NVICWVQMMWEXYZ47TQXHU74/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GR4NVICWVQMMWEXYZ47TQXHU74/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:GR4NVICWVQMMWEXYZ47TQXHU74","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":"82277a3f9cb1dd9aa325e796e10ba71ade0b0bdef5306d507b488e57bf09ee56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-03-27T00:50:45Z","title_canon_sha256":"af6cfbef164e16c85713ce85aaab59f706b132b7d174a22ce067d55b3da55d65"},"schema_version":"1.0","source":{"id":"2103.14780","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.14780","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"arxiv_version","alias_value":"2103.14780v3","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.14780","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"pith_short_12","alias_value":"GR4NVICWVQMM","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"pith_short_16","alias_value":"GR4NVICWVQMMWEXY","created_at":"2026-07-05T08:50:22Z"},{"alias_kind":"pith_short_8","alias_value":"GR4NVICW","created_at":"2026-07-05T08:50:22Z"}],"graph_snapshots":[{"event_id":"sha256:1f5dc862fab7d576920d15c3975afaf2d774ac662d29322d2b6155a12f3bb4f8","target":"graph","created_at":"2026-07-05T08:50:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2103.14780/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a splitting formula that reconstructs the logarithmic Gromov- Witten invariants of simple normal crossing varieties from the punctured Gromov- Witten invariants of their irreducible components, under the assumption of the gluing strata being toric varieties. The formula is based on the punctured Gromov-Witten theory developed in arXiv:2009.07720.","authors_text":"Yixian Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-03-27T00:50:45Z","title":"Splitting of Gromov-Witten Invariants with Toric Gluing Strata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.14780","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:d9c8ed7e66805f089c1c8b967adb78653045dd9def39179da287e3175721738e","target":"record","created_at":"2026-07-05T08:50:22Z","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":"82277a3f9cb1dd9aa325e796e10ba71ade0b0bdef5306d507b488e57bf09ee56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2021-03-27T00:50:45Z","title_canon_sha256":"af6cfbef164e16c85713ce85aaab59f706b132b7d174a22ce067d55b3da55d65"},"schema_version":"1.0","source":{"id":"2103.14780","kind":"arxiv","version":3}},"canonical_sha256":"3478daa056ac18cb12f8cf3f385cf4ff108cbadd2aa5689928cc2ec4b35c48b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3478daa056ac18cb12f8cf3f385cf4ff108cbadd2aa5689928cc2ec4b35c48b4","first_computed_at":"2026-07-05T08:50:22.550167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:50:22.550167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MUu2gvHFimkC4n3yPDlE5ciP1hZ+XQ5wgm76J2XegIhBLAJoddYPkZ7Sjg8nHXq9iRG/JVTCMmDYEoIdNjL2AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:50:22.550631Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.14780","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9c8ed7e66805f089c1c8b967adb78653045dd9def39179da287e3175721738e","sha256:1f5dc862fab7d576920d15c3975afaf2d774ac662d29322d2b6155a12f3bb4f8"],"state_sha256":"01733778b0186fafd45a4f949c9478b914619218ace968d2f7d3d630623b593d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UBIY9JUo4KVgFf3y4G4qKVgWErqJe6SzeN77Vg7uwHL70B3WZuF0g9GA+9hevL89vCOBzfI4bfCZSqxhfUUjCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T09:39:12.813174Z","bundle_sha256":"62e85da800a6c74f365eb18f2cdeab29713a99146071dcb4c06025682952a686"}}