{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:QJTHY6FLSZ2P6OCB3O4C3S6A6T","short_pith_number":"pith:QJTHY6FL","canonical_record":{"source":{"id":"2306.02661","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T07:49:49Z","cross_cats_sorted":[],"title_canon_sha256":"10d090aab06e455afc87ccda5a18680eee35e26848ab4d804d4f663ff497d56a","abstract_canon_sha256":"d224aa6edc262d68896f63b99afc973bfcd2adb952469166dfa3d6ba71e0be5a"},"schema_version":"1.0"},"canonical_sha256":"82667c78ab9674ff3841dbb82dcbc0f4fb41523bd89a726e180f7cb81217921e","source":{"kind":"arxiv","id":"2306.02661","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.02661","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"2306.02661v2","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.02661","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"QJTHY6FLSZ2P","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"pith_short_16","alias_value":"QJTHY6FLSZ2P6OCB","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"pith_short_8","alias_value":"QJTHY6FL","created_at":"2026-07-05T09:57:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:QJTHY6FLSZ2P6OCB3O4C3S6A6T","target":"record","payload":{"canonical_record":{"source":{"id":"2306.02661","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T07:49:49Z","cross_cats_sorted":[],"title_canon_sha256":"10d090aab06e455afc87ccda5a18680eee35e26848ab4d804d4f663ff497d56a","abstract_canon_sha256":"d224aa6edc262d68896f63b99afc973bfcd2adb952469166dfa3d6ba71e0be5a"},"schema_version":"1.0"},"canonical_sha256":"82667c78ab9674ff3841dbb82dcbc0f4fb41523bd89a726e180f7cb81217921e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:57:37.460209Z","signature_b64":"6ce7PWSjLICSP48PxxhZ4f3zkP1HcF6AdOiRsTdUPtk+c/zgu1lHfS59ibemuzkeF1Wnj1j28m/+4EdcLLpsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82667c78ab9674ff3841dbb82dcbc0f4fb41523bd89a726e180f7cb81217921e","last_reissued_at":"2026-07-05T09:57:37.459768Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:57:37.459768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.02661","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":"2026-07-05T09:57:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UJJcfZHzritpXN5cZ0F7h8gshMKZ466Oy1a3+xy2x8svNqTT9Lu4WMBopPPtktGPXl/fB1+ZvV+ZWdWyDhl7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:04:57.238806Z"},"content_sha256":"d634d06a6a62cdb7b7a6ab04f4ae12591a28e3447d7a1cdbfa6f22c693b69653","schema_version":"1.0","event_id":"sha256:d634d06a6a62cdb7b7a6ab04f4ae12591a28e3447d7a1cdbfa6f22c693b69653"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:QJTHY6FLSZ2P6OCB3O4C3S6A6T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Remarks on gluing punctured logarithmic maps","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mark Gross","submitted_at":"2023-06-05T07:49:49Z","abstract_excerpt":"We consider some well-behaved cases of the gluing formalism for punctured stable log maps of Abramovich-Chen-Gross-Siebert. This gives a gluing formula for log Gromov-Witten invariants in a diverse set of cases; in particular, the gluing formulae of Li-Ruan, Jun Li and Kim-Lho-Ruddat become an easy special case. The last section gives an application of this gluing formalism to canonical wall structures for K3 surfaces as constructed by Gross and Siebert in \"The canonical wall structure and intrinsic mirror symmetry.\""},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.02661","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/2306.02661/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":"2026-07-05T09:57:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/9SrudXM9XxzWUmXUezKuGUK/0sX6aniySMAnWpZHIfFNGbIjpVZhs8YkpSXKkSh7lNk6z9V8f7rDxfxLGpADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T20:04:57.239770Z"},"content_sha256":"898632676411cd5051688093fb06e68aae01b0e6b2c936a8bc03cb461c21fd15","schema_version":"1.0","event_id":"sha256:898632676411cd5051688093fb06e68aae01b0e6b2c936a8bc03cb461c21fd15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJTHY6FLSZ2P6OCB3O4C3S6A6T/bundle.json","state_url":"https://pith.science/pith/QJTHY6FLSZ2P6OCB3O4C3S6A6T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJTHY6FLSZ2P6OCB3O4C3S6A6T/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":"2026-08-16T20:04:57Z","links":{"resolver":"https://pith.science/pith/QJTHY6FLSZ2P6OCB3O4C3S6A6T","bundle":"https://pith.science/pith/QJTHY6FLSZ2P6OCB3O4C3S6A6T/bundle.json","state":"https://pith.science/pith/QJTHY6FLSZ2P6OCB3O4C3S6A6T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJTHY6FLSZ2P6OCB3O4C3S6A6T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QJTHY6FLSZ2P6OCB3O4C3S6A6T","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":"d224aa6edc262d68896f63b99afc973bfcd2adb952469166dfa3d6ba71e0be5a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T07:49:49Z","title_canon_sha256":"10d090aab06e455afc87ccda5a18680eee35e26848ab4d804d4f663ff497d56a"},"schema_version":"1.0","source":{"id":"2306.02661","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.02661","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"2306.02661v2","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.02661","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"QJTHY6FLSZ2P","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"pith_short_16","alias_value":"QJTHY6FLSZ2P6OCB","created_at":"2026-07-05T09:57:37Z"},{"alias_kind":"pith_short_8","alias_value":"QJTHY6FL","created_at":"2026-07-05T09:57:37Z"}],"graph_snapshots":[{"event_id":"sha256:898632676411cd5051688093fb06e68aae01b0e6b2c936a8bc03cb461c21fd15","target":"graph","created_at":"2026-07-05T09:57:37Z","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/2306.02661/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider some well-behaved cases of the gluing formalism for punctured stable log maps of Abramovich-Chen-Gross-Siebert. This gives a gluing formula for log Gromov-Witten invariants in a diverse set of cases; in particular, the gluing formulae of Li-Ruan, Jun Li and Kim-Lho-Ruddat become an easy special case. The last section gives an application of this gluing formalism to canonical wall structures for K3 surfaces as constructed by Gross and Siebert in \"The canonical wall structure and intrinsic mirror symmetry.\"","authors_text":"Mark Gross","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T07:49:49Z","title":"Remarks on gluing punctured logarithmic maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.02661","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:d634d06a6a62cdb7b7a6ab04f4ae12591a28e3447d7a1cdbfa6f22c693b69653","target":"record","created_at":"2026-07-05T09:57:37Z","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":"d224aa6edc262d68896f63b99afc973bfcd2adb952469166dfa3d6ba71e0be5a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-06-05T07:49:49Z","title_canon_sha256":"10d090aab06e455afc87ccda5a18680eee35e26848ab4d804d4f663ff497d56a"},"schema_version":"1.0","source":{"id":"2306.02661","kind":"arxiv","version":2}},"canonical_sha256":"82667c78ab9674ff3841dbb82dcbc0f4fb41523bd89a726e180f7cb81217921e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82667c78ab9674ff3841dbb82dcbc0f4fb41523bd89a726e180f7cb81217921e","first_computed_at":"2026-07-05T09:57:37.459768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:57:37.459768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6ce7PWSjLICSP48PxxhZ4f3zkP1HcF6AdOiRsTdUPtk+c/zgu1lHfS59ibemuzkeF1Wnj1j28m/+4EdcLLpsBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:57:37.460209Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.02661","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d634d06a6a62cdb7b7a6ab04f4ae12591a28e3447d7a1cdbfa6f22c693b69653","sha256:898632676411cd5051688093fb06e68aae01b0e6b2c936a8bc03cb461c21fd15"],"state_sha256":"bb55e7ffe16017f353327d194f001eb4cfb6cd10f141ccd7e35bb8db7dea6509"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0xJzBvITFeULOjYSdVuQmexPNIycKbuD9mU6WOrqoWdJH4vtWa5frX/LHk50JIm0csZq8coZO+qM/KVWEBhBBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T20:04:57.246442Z","bundle_sha256":"0b6060f5d01cf5bf824b0a01370d4fcd34f29c42c6398aca6bbe7d5de1e46efe"}}