{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JWGNLR4O6357I2JMB5RBS2SPHO","short_pith_number":"pith:JWGNLR4O","canonical_record":{"source":{"id":"1809.04731","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-09-13T01:26:41Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"1a0caec379b81194932009eb35d83365f80ae10b232b6f27bed7dea770c6bd94","abstract_canon_sha256":"8b341b705fd6c10ac1296b5a80af6aa77d0a5e94d3e3a23e87fc2311b9e051f7"},"schema_version":"1.0"},"canonical_sha256":"4d8cd5c78ef6fbf4692c0f62196a4f3bad7bbad57acdc76804f08d16b3f70f83","source":{"kind":"arxiv","id":"1809.04731","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.04731","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"arxiv_version","alias_value":"1809.04731v2","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.04731","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"pith_short_12","alias_value":"JWGNLR4O6357","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"pith_short_16","alias_value":"JWGNLR4O6357I2JM","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"pith_short_8","alias_value":"JWGNLR4O","created_at":"2026-07-05T02:22:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JWGNLR4O6357I2JMB5RBS2SPHO","target":"record","payload":{"canonical_record":{"source":{"id":"1809.04731","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-09-13T01:26:41Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"1a0caec379b81194932009eb35d83365f80ae10b232b6f27bed7dea770c6bd94","abstract_canon_sha256":"8b341b705fd6c10ac1296b5a80af6aa77d0a5e94d3e3a23e87fc2311b9e051f7"},"schema_version":"1.0"},"canonical_sha256":"4d8cd5c78ef6fbf4692c0f62196a4f3bad7bbad57acdc76804f08d16b3f70f83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:22:33.227919Z","signature_b64":"SRXTYHNY3xHTCiZRoWeO+btJnnO3bzy66wSowx2nFdwnSNbixl2xgF7XrGJFNZDNbYtQ7Mr3mycyWPP4tShcDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d8cd5c78ef6fbf4692c0f62196a4f3bad7bbad57acdc76804f08d16b3f70f83","last_reissued_at":"2026-07-05T02:22:33.227433Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:22:33.227433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.04731","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":"2026-07-05T02:22:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BzWoAOqJT/5+oX+51ownckgmVshgJY/BLKNF+Vcv1wFR9sWJo2qcXZ44wtcl3nPyR6edmSCLRRnW8oafn0nYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:40:30.517481Z"},"content_sha256":"c960f0051a38b05411ebb933fae494315e92d1001e15f375c328d612d203be9d","schema_version":"1.0","event_id":"sha256:c960f0051a38b05411ebb933fae494315e92d1001e15f375c328d612d203be9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JWGNLR4O6357I2JMB5RBS2SPHO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Castelnuovo's bound and rigidity in almost complex geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Aleksander Doan, Thomas Walpuski","submitted_at":"2018-09-13T01:26:41Z","abstract_excerpt":"This article is concerned with the question of whether an energy bound implies a genus bound for pseudo-holomorphic curves in almost complex manifolds. After reviewing what is known in dimensions other than 6, we establish a new result in this direction in dimension 6; in particular, for symplectic Calabi-Yau 6-manifolds. The proof relies on compactness and regularity theorems for J-holomorphic currents."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.04731","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/1809.04731/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":"2026-07-05T02:22:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HeOLEvWB4HfWmcnRQ7zs7r6ZtNcX7f/0iRFMkaXn0xqVe9UQ4gnPcsyeA81Fo5I6d2S0xy3gN9D2IJdiMBVUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:40:30.518013Z"},"content_sha256":"44ccc9606ae76596d3aa71228de77bf9e6bd1f72d535e4e9fcdfc825063afa9e","schema_version":"1.0","event_id":"sha256:44ccc9606ae76596d3aa71228de77bf9e6bd1f72d535e4e9fcdfc825063afa9e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JWGNLR4O6357I2JMB5RBS2SPHO/bundle.json","state_url":"https://pith.science/pith/JWGNLR4O6357I2JMB5RBS2SPHO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JWGNLR4O6357I2JMB5RBS2SPHO/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":"2026-08-09T22:40:30Z","links":{"resolver":"https://pith.science/pith/JWGNLR4O6357I2JMB5RBS2SPHO","bundle":"https://pith.science/pith/JWGNLR4O6357I2JMB5RBS2SPHO/bundle.json","state":"https://pith.science/pith/JWGNLR4O6357I2JMB5RBS2SPHO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JWGNLR4O6357I2JMB5RBS2SPHO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JWGNLR4O6357I2JMB5RBS2SPHO","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":"8b341b705fd6c10ac1296b5a80af6aa77d0a5e94d3e3a23e87fc2311b9e051f7","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-09-13T01:26:41Z","title_canon_sha256":"1a0caec379b81194932009eb35d83365f80ae10b232b6f27bed7dea770c6bd94"},"schema_version":"1.0","source":{"id":"1809.04731","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.04731","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"arxiv_version","alias_value":"1809.04731v2","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.04731","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"pith_short_12","alias_value":"JWGNLR4O6357","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"pith_short_16","alias_value":"JWGNLR4O6357I2JM","created_at":"2026-07-05T02:22:33Z"},{"alias_kind":"pith_short_8","alias_value":"JWGNLR4O","created_at":"2026-07-05T02:22:33Z"}],"graph_snapshots":[{"event_id":"sha256:44ccc9606ae76596d3aa71228de77bf9e6bd1f72d535e4e9fcdfc825063afa9e","target":"graph","created_at":"2026-07-05T02:22:33Z","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/1809.04731/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article is concerned with the question of whether an energy bound implies a genus bound for pseudo-holomorphic curves in almost complex manifolds. After reviewing what is known in dimensions other than 6, we establish a new result in this direction in dimension 6; in particular, for symplectic Calabi-Yau 6-manifolds. The proof relies on compactness and regularity theorems for J-holomorphic currents.","authors_text":"Aleksander Doan, Thomas Walpuski","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-09-13T01:26:41Z","title":"Castelnuovo's bound and rigidity in almost complex geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.04731","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:c960f0051a38b05411ebb933fae494315e92d1001e15f375c328d612d203be9d","target":"record","created_at":"2026-07-05T02:22:33Z","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":"8b341b705fd6c10ac1296b5a80af6aa77d0a5e94d3e3a23e87fc2311b9e051f7","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-09-13T01:26:41Z","title_canon_sha256":"1a0caec379b81194932009eb35d83365f80ae10b232b6f27bed7dea770c6bd94"},"schema_version":"1.0","source":{"id":"1809.04731","kind":"arxiv","version":2}},"canonical_sha256":"4d8cd5c78ef6fbf4692c0f62196a4f3bad7bbad57acdc76804f08d16b3f70f83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d8cd5c78ef6fbf4692c0f62196a4f3bad7bbad57acdc76804f08d16b3f70f83","first_computed_at":"2026-07-05T02:22:33.227433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:22:33.227433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SRXTYHNY3xHTCiZRoWeO+btJnnO3bzy66wSowx2nFdwnSNbixl2xgF7XrGJFNZDNbYtQ7Mr3mycyWPP4tShcDg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:22:33.227919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.04731","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c960f0051a38b05411ebb933fae494315e92d1001e15f375c328d612d203be9d","sha256:44ccc9606ae76596d3aa71228de77bf9e6bd1f72d535e4e9fcdfc825063afa9e"],"state_sha256":"98e451d3d414033dd551cf58586b1e4562e34bd3321633f9140837b3ed0b8894"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0g4o/uPmwztdyz3TRKRaEoDUPdHpipfft5R2kQWJokxj6BGuhYAokwLn2Fijzr1dkMakrdRyHPANzUbpmH9VDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T22:40:30.523677Z","bundle_sha256":"c50483872d444e525036b73ac2bda2acc377d7936bc47a8a5128262d9871dd61"}}