{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:BHNY2ZV74SQHACSNBOFUAL5FIA","short_pith_number":"pith:BHNY2ZV7","canonical_record":{"source":{"id":"2501.08743","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-15T11:58:41Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"c5b18a2cc3b3b9830a9751e23a5878c3bb2b713cb0c436a01a03cad3f3b2bdca","abstract_canon_sha256":"2fd68f279d91315ace31ecf011bdf6945a732aeb124145d8348d2ba76bbf87db"},"schema_version":"1.0"},"canonical_sha256":"09db8d66bfe4a0700a4d0b8b402fa5403575541b830174a4764ebec6aec665db","source":{"kind":"arxiv","id":"2501.08743","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.08743","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"arxiv_version","alias_value":"2501.08743v3","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.08743","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"pith_short_12","alias_value":"BHNY2ZV74SQH","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"pith_short_16","alias_value":"BHNY2ZV74SQHACSN","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"pith_short_8","alias_value":"BHNY2ZV7","created_at":"2026-05-26T01:03:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:BHNY2ZV74SQHACSNBOFUAL5FIA","target":"record","payload":{"canonical_record":{"source":{"id":"2501.08743","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-15T11:58:41Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"c5b18a2cc3b3b9830a9751e23a5878c3bb2b713cb0c436a01a03cad3f3b2bdca","abstract_canon_sha256":"2fd68f279d91315ace31ecf011bdf6945a732aeb124145d8348d2ba76bbf87db"},"schema_version":"1.0"},"canonical_sha256":"09db8d66bfe4a0700a4d0b8b402fa5403575541b830174a4764ebec6aec665db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T01:03:10.641093Z","signature_b64":"TQX3L1WdaFXkTOTu2EDQligBJDbMEgRm900w48kb91vNTWaWeIeyCwSU8uWdfCPBGRbqEp/eZvXHEQOcOxgLAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09db8d66bfe4a0700a4d0b8b402fa5403575541b830174a4764ebec6aec665db","last_reissued_at":"2026-05-26T01:03:10.640233Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T01:03:10.640233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.08743","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":"2026-05-26T01:03:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vGhNTglAEedIcOecaiBgytoivInvARq7MaJ7IDYUUHn6LOZMTtCBv4kv4CnTH4npi0+lu+JkNZKx0mhBk9+FCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:11:07.003453Z"},"content_sha256":"15772bc6c73d135ce06984905b6ec8493ecc8d05422a9675dfc62c4ad76ac66c","schema_version":"1.0","event_id":"sha256:15772bc6c73d135ce06984905b6ec8493ecc8d05422a9675dfc62c4ad76ac66c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:BHNY2ZV74SQHACSNBOFUAL5FIA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Global Sections of Chiral de Rham Complexes on Closed Complex Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"math.AG","authors_text":"Bailin Song, Wujie Xie","submitted_at":"2025-01-15T11:58:41Z","abstract_excerpt":"The space of global sections of the chiral de Rham complex on any closed complex curve with genus $g \\ge2$ is calculated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.08743","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/2501.08743/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":"2026-05-26T01:03:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dnSZk9N6t0vZKaJjTlmcX2Iva3a2/9BsE6kyMgIAUXQykQqFcWoY3DYNNDvywRTF1zLsrlGYPYQf9V3ZzCTVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:11:07.003826Z"},"content_sha256":"9ed5df2015f5edc13d9fa99fb364c06c1bd5296d78fc741664b347417eed178d","schema_version":"1.0","event_id":"sha256:9ed5df2015f5edc13d9fa99fb364c06c1bd5296d78fc741664b347417eed178d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BHNY2ZV74SQHACSNBOFUAL5FIA/bundle.json","state_url":"https://pith.science/pith/BHNY2ZV74SQHACSNBOFUAL5FIA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BHNY2ZV74SQHACSNBOFUAL5FIA/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":"2026-06-22T09:11:07Z","links":{"resolver":"https://pith.science/pith/BHNY2ZV74SQHACSNBOFUAL5FIA","bundle":"https://pith.science/pith/BHNY2ZV74SQHACSNBOFUAL5FIA/bundle.json","state":"https://pith.science/pith/BHNY2ZV74SQHACSNBOFUAL5FIA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BHNY2ZV74SQHACSNBOFUAL5FIA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BHNY2ZV74SQHACSNBOFUAL5FIA","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":"2fd68f279d91315ace31ecf011bdf6945a732aeb124145d8348d2ba76bbf87db","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-15T11:58:41Z","title_canon_sha256":"c5b18a2cc3b3b9830a9751e23a5878c3bb2b713cb0c436a01a03cad3f3b2bdca"},"schema_version":"1.0","source":{"id":"2501.08743","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.08743","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"arxiv_version","alias_value":"2501.08743v3","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.08743","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"pith_short_12","alias_value":"BHNY2ZV74SQH","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"pith_short_16","alias_value":"BHNY2ZV74SQHACSN","created_at":"2026-05-26T01:03:10Z"},{"alias_kind":"pith_short_8","alias_value":"BHNY2ZV7","created_at":"2026-05-26T01:03:10Z"}],"graph_snapshots":[{"event_id":"sha256:9ed5df2015f5edc13d9fa99fb364c06c1bd5296d78fc741664b347417eed178d","target":"graph","created_at":"2026-05-26T01:03:10Z","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/2501.08743/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The space of global sections of the chiral de Rham complex on any closed complex curve with genus $g \\ge2$ is calculated.","authors_text":"Bailin Song, Wujie Xie","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-15T11:58:41Z","title":"The Global Sections of Chiral de Rham Complexes on Closed Complex Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.08743","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":"sha256:15772bc6c73d135ce06984905b6ec8493ecc8d05422a9675dfc62c4ad76ac66c","target":"record","created_at":"2026-05-26T01:03:10Z","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":"2fd68f279d91315ace31ecf011bdf6945a732aeb124145d8348d2ba76bbf87db","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-15T11:58:41Z","title_canon_sha256":"c5b18a2cc3b3b9830a9751e23a5878c3bb2b713cb0c436a01a03cad3f3b2bdca"},"schema_version":"1.0","source":{"id":"2501.08743","kind":"arxiv","version":3}},"canonical_sha256":"09db8d66bfe4a0700a4d0b8b402fa5403575541b830174a4764ebec6aec665db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09db8d66bfe4a0700a4d0b8b402fa5403575541b830174a4764ebec6aec665db","first_computed_at":"2026-05-26T01:03:10.640233Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:03:10.640233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TQX3L1WdaFXkTOTu2EDQligBJDbMEgRm900w48kb91vNTWaWeIeyCwSU8uWdfCPBGRbqEp/eZvXHEQOcOxgLAg==","signature_status":"signed_v1","signed_at":"2026-05-26T01:03:10.641093Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.08743","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15772bc6c73d135ce06984905b6ec8493ecc8d05422a9675dfc62c4ad76ac66c","sha256:9ed5df2015f5edc13d9fa99fb364c06c1bd5296d78fc741664b347417eed178d"],"state_sha256":"d51fed7be9d6c0ad6a3e80f7ab2e4de7dab7fb2212a50012623614e216cc0d44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VAsHqO/qfsMZpHDawCvrGPAYv6mj2AnRACgfO8bBBxxUHpTC8hC9IMNhijNAd4O2chuCJObVb4nmmhl7bONJCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T09:11:07.005822Z","bundle_sha256":"7f0a4883d792f8e607ff68a287923e9487047e4bb70be7100453f9cb2c96385d"}}