{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:LKSPTE4OSPZBVFATPJEODSMX6X","short_pith_number":"pith:LKSPTE4O","canonical_record":{"source":{"id":"0810.0442","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-10-02T15:23:09Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"60e464fbb1f0a312c983404b38e838f702637db22971c51c60d5c8f585f52ed2","abstract_canon_sha256":"6020e6bb04a55dd1ead6155283e8d0d32a924a296b18dc69631a6faea04cb8fb"},"schema_version":"1.0"},"canonical_sha256":"5aa4f9938e93f21a94137a48e1c997f5f71973991d2c07623ed62b57f14254b1","source":{"kind":"arxiv","id":"0810.0442","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.0442","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"arxiv_version","alias_value":"0810.0442v2","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.0442","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"pith_short_12","alias_value":"LKSPTE4OSPZB","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"pith_short_16","alias_value":"LKSPTE4OSPZBVFAT","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"pith_short_8","alias_value":"LKSPTE4O","created_at":"2026-07-04T15:53:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:LKSPTE4OSPZBVFATPJEODSMX6X","target":"record","payload":{"canonical_record":{"source":{"id":"0810.0442","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-10-02T15:23:09Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"60e464fbb1f0a312c983404b38e838f702637db22971c51c60d5c8f585f52ed2","abstract_canon_sha256":"6020e6bb04a55dd1ead6155283e8d0d32a924a296b18dc69631a6faea04cb8fb"},"schema_version":"1.0"},"canonical_sha256":"5aa4f9938e93f21a94137a48e1c997f5f71973991d2c07623ed62b57f14254b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:53:10.474353Z","signature_b64":"R3pWKy2+6jSVlEGWWjmz0ha/Ri5HHi+KHTrp5PGjEnZ0CgxFZWaOrRcddhNoK2GcaE3mu+aLJE77/810PVtAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5aa4f9938e93f21a94137a48e1c997f5f71973991d2c07623ed62b57f14254b1","last_reissued_at":"2026-07-04T15:53:10.473975Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:53:10.473975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.0442","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":"2026-07-04T15:53:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t6JFJPe0Lrmt4CzTef3nz+HpohljN44/pO4jYel7KB/H6pe0xKdneVmM1U/SJC+3SNvJ9kNVyurl06Otnhm6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T15:21:29.602304Z"},"content_sha256":"2aaa0362b205d36be629dbdf400d08708c3bd47fbc3b602451fec5bc408abc0b","schema_version":"1.0","event_id":"sha256:2aaa0362b205d36be629dbdf400d08708c3bd47fbc3b602451fec5bc408abc0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:LKSPTE4OSPZBVFATPJEODSMX6X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A map from Lawson homology to Deligne Cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Wenchuan Hu","submitted_at":"2008-10-02T15:23:09Z","abstract_excerpt":"A natural map from Lawson homology to Deligne cohomology groups for smooth complex projective varieties is constructed by using the Harvey-Lawson spark complexes. We also compare this to Abel-Jacobi type constructions by others."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.0442","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/0810.0442/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":"2026-07-04T15:53:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ttELVJ4oWhihuN4lKHCpAcOS24W1qYERKMXAIdCf8SAJiVjSBEyyHdjYEn19tKixR3jtx83RyiJdyptGxYlFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T15:21:29.602835Z"},"content_sha256":"3a4b8b4050da0a84378b85f92d9c912bfee5d25fbcff1ca9cf04467f60616f37","schema_version":"1.0","event_id":"sha256:3a4b8b4050da0a84378b85f92d9c912bfee5d25fbcff1ca9cf04467f60616f37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LKSPTE4OSPZBVFATPJEODSMX6X/bundle.json","state_url":"https://pith.science/pith/LKSPTE4OSPZBVFATPJEODSMX6X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LKSPTE4OSPZBVFATPJEODSMX6X/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":"2026-08-19T15:21:29Z","links":{"resolver":"https://pith.science/pith/LKSPTE4OSPZBVFATPJEODSMX6X","bundle":"https://pith.science/pith/LKSPTE4OSPZBVFATPJEODSMX6X/bundle.json","state":"https://pith.science/pith/LKSPTE4OSPZBVFATPJEODSMX6X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LKSPTE4OSPZBVFATPJEODSMX6X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:LKSPTE4OSPZBVFATPJEODSMX6X","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":"6020e6bb04a55dd1ead6155283e8d0d32a924a296b18dc69631a6faea04cb8fb","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-10-02T15:23:09Z","title_canon_sha256":"60e464fbb1f0a312c983404b38e838f702637db22971c51c60d5c8f585f52ed2"},"schema_version":"1.0","source":{"id":"0810.0442","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.0442","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"arxiv_version","alias_value":"0810.0442v2","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.0442","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"pith_short_12","alias_value":"LKSPTE4OSPZB","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"pith_short_16","alias_value":"LKSPTE4OSPZBVFAT","created_at":"2026-07-04T15:53:10Z"},{"alias_kind":"pith_short_8","alias_value":"LKSPTE4O","created_at":"2026-07-04T15:53:10Z"}],"graph_snapshots":[{"event_id":"sha256:3a4b8b4050da0a84378b85f92d9c912bfee5d25fbcff1ca9cf04467f60616f37","target":"graph","created_at":"2026-07-04T15:53:10Z","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/0810.0442/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A natural map from Lawson homology to Deligne cohomology groups for smooth complex projective varieties is constructed by using the Harvey-Lawson spark complexes. We also compare this to Abel-Jacobi type constructions by others.","authors_text":"Wenchuan Hu","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-10-02T15:23:09Z","title":"A map from Lawson homology to Deligne Cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.0442","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":"sha256:2aaa0362b205d36be629dbdf400d08708c3bd47fbc3b602451fec5bc408abc0b","target":"record","created_at":"2026-07-04T15:53:10Z","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":"6020e6bb04a55dd1ead6155283e8d0d32a924a296b18dc69631a6faea04cb8fb","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-10-02T15:23:09Z","title_canon_sha256":"60e464fbb1f0a312c983404b38e838f702637db22971c51c60d5c8f585f52ed2"},"schema_version":"1.0","source":{"id":"0810.0442","kind":"arxiv","version":2}},"canonical_sha256":"5aa4f9938e93f21a94137a48e1c997f5f71973991d2c07623ed62b57f14254b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aa4f9938e93f21a94137a48e1c997f5f71973991d2c07623ed62b57f14254b1","first_computed_at":"2026-07-04T15:53:10.473975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:53:10.473975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R3pWKy2+6jSVlEGWWjmz0ha/Ri5HHi+KHTrp5PGjEnZ0CgxFZWaOrRcddhNoK2GcaE3mu+aLJE77/810PVtAAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:53:10.474353Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.0442","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2aaa0362b205d36be629dbdf400d08708c3bd47fbc3b602451fec5bc408abc0b","sha256:3a4b8b4050da0a84378b85f92d9c912bfee5d25fbcff1ca9cf04467f60616f37"],"state_sha256":"b25786b90a6a697e51a9bcb08bf60e3485b7ff6368ec48aa4074aea7bd789600"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g7sGeexjPCArccBuozVuMdRPmOywE7GByNkE7l5jzz7ucg+bAhPOqfLzbFAUJE7J1nzMhzyf+md8SA0fmr5nBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T15:21:29.607747Z","bundle_sha256":"15b53935ead8e0ad98e8609930cbe76e38f75ef58ac3ff9bde7afe16899cda07"}}