{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:SK2LT7SDUY3GKNL3W3KZN6XAG7","short_pith_number":"pith:SK2LT7SD","canonical_record":{"source":{"id":"1907.07133","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2019-07-16T17:03:16Z","cross_cats_sorted":[],"title_canon_sha256":"5ae15652c258361cb2706d888e5aeb9a39508dfd3a9253254546da9dce21114e","abstract_canon_sha256":"cbc18f14ba1230d325c0bf0ff4cd5944698df5ee31fa8308218a1895304652ab"},"schema_version":"1.0"},"canonical_sha256":"92b4b9fe43a63665357bb6d596fae037c479d125bdfb74ef5f8aca752778ee85","source":{"kind":"arxiv","id":"1907.07133","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.07133","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"arxiv_version","alias_value":"1907.07133v2","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.07133","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"pith_short_12","alias_value":"SK2LT7SDUY3G","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"pith_short_16","alias_value":"SK2LT7SDUY3GKNL3","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"pith_short_8","alias_value":"SK2LT7SD","created_at":"2026-07-05T01:59:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:SK2LT7SDUY3GKNL3W3KZN6XAG7","target":"record","payload":{"canonical_record":{"source":{"id":"1907.07133","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2019-07-16T17:03:16Z","cross_cats_sorted":[],"title_canon_sha256":"5ae15652c258361cb2706d888e5aeb9a39508dfd3a9253254546da9dce21114e","abstract_canon_sha256":"cbc18f14ba1230d325c0bf0ff4cd5944698df5ee31fa8308218a1895304652ab"},"schema_version":"1.0"},"canonical_sha256":"92b4b9fe43a63665357bb6d596fae037c479d125bdfb74ef5f8aca752778ee85","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:59:49.934276Z","signature_b64":"IseWwX3Ydl6R/WYZhxzkqvJxPlIEnTZ/a7AHIJYm0gLccd/kN22ZlN8ATjfg4wsoYwuBhnL/bQ0eYI+V29g8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92b4b9fe43a63665357bb6d596fae037c479d125bdfb74ef5f8aca752778ee85","last_reissued_at":"2026-07-05T01:59:49.933869Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:59:49.933869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.07133","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:59:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1zwEsJu8ymgyCEzLNavUyYwLkifDKNWk83ygNUmSeUTItqQA+QBXexMgctRwAcCM6bE598tFjkLZ+t17bZV6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T14:04:32.157564Z"},"content_sha256":"9be5babe33e9f4430d3b2028ccd15768d755a3fffbbd2388cb88fc941fd37d64","schema_version":"1.0","event_id":"sha256:9be5babe33e9f4430d3b2028ccd15768d755a3fffbbd2388cb88fc941fd37d64"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:SK2LT7SDUY3GKNL3W3KZN6XAG7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher genus relative Gromov--Witten theory and DR-cycles","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Fenglong You, Honglu Fan, Longting Wu","submitted_at":"2019-07-16T17:03:16Z","abstract_excerpt":"We extend the definition of relative Gromov--Witten invariants with negative contact orders to all genera. Then we show that relative Gromov--Witten theory forms a partial CohFT. Some cycle relations on the moduli space of stable maps are also proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.07133","kind":"arxiv","version":2},"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/1907.07133/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":"2026-07-05T01:59:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Smqee3fIZMCjcG/Xs1f0GCv/uevxje7922RwAEqzU1h43Sdg9sk/S6Mwbwlu2WzXdDTjqMcHRBvXEwNSxJI2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T14:04:32.158590Z"},"content_sha256":"7fc3e9d00447de0a463706f0ba098b609c4825067e9a46435268d6b2a36e4461","schema_version":"1.0","event_id":"sha256:7fc3e9d00447de0a463706f0ba098b609c4825067e9a46435268d6b2a36e4461"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SK2LT7SDUY3GKNL3W3KZN6XAG7/bundle.json","state_url":"https://pith.science/pith/SK2LT7SDUY3GKNL3W3KZN6XAG7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SK2LT7SDUY3GKNL3W3KZN6XAG7/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":"2026-08-22T14:04:32Z","links":{"resolver":"https://pith.science/pith/SK2LT7SDUY3GKNL3W3KZN6XAG7","bundle":"https://pith.science/pith/SK2LT7SDUY3GKNL3W3KZN6XAG7/bundle.json","state":"https://pith.science/pith/SK2LT7SDUY3GKNL3W3KZN6XAG7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SK2LT7SDUY3GKNL3W3KZN6XAG7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SK2LT7SDUY3GKNL3W3KZN6XAG7","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":"cbc18f14ba1230d325c0bf0ff4cd5944698df5ee31fa8308218a1895304652ab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2019-07-16T17:03:16Z","title_canon_sha256":"5ae15652c258361cb2706d888e5aeb9a39508dfd3a9253254546da9dce21114e"},"schema_version":"1.0","source":{"id":"1907.07133","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.07133","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"arxiv_version","alias_value":"1907.07133v2","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.07133","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"pith_short_12","alias_value":"SK2LT7SDUY3G","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"pith_short_16","alias_value":"SK2LT7SDUY3GKNL3","created_at":"2026-07-05T01:59:49Z"},{"alias_kind":"pith_short_8","alias_value":"SK2LT7SD","created_at":"2026-07-05T01:59:49Z"}],"graph_snapshots":[{"event_id":"sha256:7fc3e9d00447de0a463706f0ba098b609c4825067e9a46435268d6b2a36e4461","target":"graph","created_at":"2026-07-05T01:59:49Z","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/1907.07133/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend the definition of relative Gromov--Witten invariants with negative contact orders to all genera. Then we show that relative Gromov--Witten theory forms a partial CohFT. Some cycle relations on the moduli space of stable maps are also proved.","authors_text":"Fenglong You, Honglu Fan, Longting Wu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2019-07-16T17:03:16Z","title":"Higher genus relative Gromov--Witten theory and DR-cycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.07133","kind":"arxiv","version":2},"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":"sha256:9be5babe33e9f4430d3b2028ccd15768d755a3fffbbd2388cb88fc941fd37d64","target":"record","created_at":"2026-07-05T01:59:49Z","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":"cbc18f14ba1230d325c0bf0ff4cd5944698df5ee31fa8308218a1895304652ab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2019-07-16T17:03:16Z","title_canon_sha256":"5ae15652c258361cb2706d888e5aeb9a39508dfd3a9253254546da9dce21114e"},"schema_version":"1.0","source":{"id":"1907.07133","kind":"arxiv","version":2}},"canonical_sha256":"92b4b9fe43a63665357bb6d596fae037c479d125bdfb74ef5f8aca752778ee85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92b4b9fe43a63665357bb6d596fae037c479d125bdfb74ef5f8aca752778ee85","first_computed_at":"2026-07-05T01:59:49.933869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:59:49.933869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IseWwX3Ydl6R/WYZhxzkqvJxPlIEnTZ/a7AHIJYm0gLccd/kN22ZlN8ATjfg4wsoYwuBhnL/bQ0eYI+V29g8Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:59:49.934276Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.07133","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9be5babe33e9f4430d3b2028ccd15768d755a3fffbbd2388cb88fc941fd37d64","sha256:7fc3e9d00447de0a463706f0ba098b609c4825067e9a46435268d6b2a36e4461"],"state_sha256":"f6ba8393743908e31158c245e021df1e1a7f3ed8429a3c25ef55763456afd630"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c8rPME9ZYySVmUI3tjIVrLrj+uLQM82A7MSCF6W2SIULRdtd7GNpGMeffFGHQjQZZL0eAW/3DftOI/3rVXgYAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T14:04:32.162950Z","bundle_sha256":"9f914337a66edb90542e584f79f32d4563b719ea6d492fcb52e4b7fef3bef5ad"}}