{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:QRTY2SWWYTU5N25EGIR6N7L3X7","short_pith_number":"pith:QRTY2SWW","canonical_record":{"source":{"id":"0809.5070","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-09-29T20:50:55Z","cross_cats_sorted":[],"title_canon_sha256":"76f4e91cd59b7e8b53b0a256c13b4c3276d9bfd30f453c1fa8165962900df13a","abstract_canon_sha256":"6ff46d5a42770250dbf264fa46e92cca29107533dcd9a68f5538e05d28571136"},"schema_version":"1.0"},"canonical_sha256":"84678d4ad6c4e9d6eba43223e6fd7bbfccea4c0d6de61e16f3aa4660caadb0ed","source":{"kind":"arxiv","id":"0809.5070","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.5070","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"arxiv_version","alias_value":"0809.5070v1","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.5070","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"pith_short_12","alias_value":"QRTY2SWWYTU5","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"pith_short_16","alias_value":"QRTY2SWWYTU5N25E","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"pith_short_8","alias_value":"QRTY2SWW","created_at":"2026-07-04T15:14:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:QRTY2SWWYTU5N25EGIR6N7L3X7","target":"record","payload":{"canonical_record":{"source":{"id":"0809.5070","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-09-29T20:50:55Z","cross_cats_sorted":[],"title_canon_sha256":"76f4e91cd59b7e8b53b0a256c13b4c3276d9bfd30f453c1fa8165962900df13a","abstract_canon_sha256":"6ff46d5a42770250dbf264fa46e92cca29107533dcd9a68f5538e05d28571136"},"schema_version":"1.0"},"canonical_sha256":"84678d4ad6c4e9d6eba43223e6fd7bbfccea4c0d6de61e16f3aa4660caadb0ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:14:43.563763Z","signature_b64":"0NsFvZ26PSeLdsj9+wmTNRmJAYU23TNdkHeypF+NYPMS71khJoF/boqCHKW9USlLL2tlNE6smeeExYYxkkz8AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84678d4ad6c4e9d6eba43223e6fd7bbfccea4c0d6de61e16f3aa4660caadb0ed","last_reissued_at":"2026-07-04T15:14:43.563381Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:14:43.563381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0809.5070","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:14:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bFQGYBTmLbkkBZ4+/wvRp+KrpIQrve5nGMo02UC4MuWW0ZSaN6uiBBn7R8hpsK2N9nov+Yi0MOh5eZ9QvsuyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T13:06:40.274451Z"},"content_sha256":"404549077719a32cc58615f1a7a5b0e75d4244781ec4fa9db4e8b11b82bc3372","schema_version":"1.0","event_id":"sha256:404549077719a32cc58615f1a7a5b0e75d4244781ec4fa9db4e8b11b82bc3372"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:QRTY2SWWYTU5N25EGIR6N7L3X7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Generalized Bloch Conjecture for the quotient of certain Calabi-Yau varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Wenchuan Hu","submitted_at":"2008-09-29T20:50:55Z","abstract_excerpt":"In this paper, the generalized Bloch Conjecture on zero cycles for the quotient of certain complete intersections with trivial canonical bundle is proved to hold. As an application of Bloch-Srinivas method on the decomposition of the diagonal, we compute the rational coefficient Lawson homology for 1-cycles and codimension two cycles for these quotient varieties. The (Generalized) Hodge Conjecture is proved to hold for codimension two cycles (and hence also for 2-cycles) on these quotient varieties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.5070","kind":"arxiv","version":1},"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/0809.5070/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":"2026-07-04T15:14:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ehDAx1Wgl9cTrp+1NK1B0guRq7weAMJ343lKmYhX7/Ibt5lqWXn5goTIkKLvyQk8MQDynb4McNEk9KjJGPXFCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T13:06:40.275401Z"},"content_sha256":"d72a5dd155b7ac8f37d4a3b3a849dfbb80b740b0ca06b7994a821782780c1b80","schema_version":"1.0","event_id":"sha256:d72a5dd155b7ac8f37d4a3b3a849dfbb80b740b0ca06b7994a821782780c1b80"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QRTY2SWWYTU5N25EGIR6N7L3X7/bundle.json","state_url":"https://pith.science/pith/QRTY2SWWYTU5N25EGIR6N7L3X7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QRTY2SWWYTU5N25EGIR6N7L3X7/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":"2026-08-19T13:06:40Z","links":{"resolver":"https://pith.science/pith/QRTY2SWWYTU5N25EGIR6N7L3X7","bundle":"https://pith.science/pith/QRTY2SWWYTU5N25EGIR6N7L3X7/bundle.json","state":"https://pith.science/pith/QRTY2SWWYTU5N25EGIR6N7L3X7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QRTY2SWWYTU5N25EGIR6N7L3X7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:QRTY2SWWYTU5N25EGIR6N7L3X7","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":"6ff46d5a42770250dbf264fa46e92cca29107533dcd9a68f5538e05d28571136","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-09-29T20:50:55Z","title_canon_sha256":"76f4e91cd59b7e8b53b0a256c13b4c3276d9bfd30f453c1fa8165962900df13a"},"schema_version":"1.0","source":{"id":"0809.5070","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.5070","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"arxiv_version","alias_value":"0809.5070v1","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.5070","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"pith_short_12","alias_value":"QRTY2SWWYTU5","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"pith_short_16","alias_value":"QRTY2SWWYTU5N25E","created_at":"2026-07-04T15:14:43Z"},{"alias_kind":"pith_short_8","alias_value":"QRTY2SWW","created_at":"2026-07-04T15:14:43Z"}],"graph_snapshots":[{"event_id":"sha256:d72a5dd155b7ac8f37d4a3b3a849dfbb80b740b0ca06b7994a821782780c1b80","target":"graph","created_at":"2026-07-04T15:14:43Z","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/0809.5070/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, the generalized Bloch Conjecture on zero cycles for the quotient of certain complete intersections with trivial canonical bundle is proved to hold. As an application of Bloch-Srinivas method on the decomposition of the diagonal, we compute the rational coefficient Lawson homology for 1-cycles and codimension two cycles for these quotient varieties. The (Generalized) Hodge Conjecture is proved to hold for codimension two cycles (and hence also for 2-cycles) on these quotient varieties.","authors_text":"Wenchuan Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-09-29T20:50:55Z","title":"The Generalized Bloch Conjecture for the quotient of certain Calabi-Yau varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.5070","kind":"arxiv","version":1},"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":"sha256:404549077719a32cc58615f1a7a5b0e75d4244781ec4fa9db4e8b11b82bc3372","target":"record","created_at":"2026-07-04T15:14:43Z","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":"6ff46d5a42770250dbf264fa46e92cca29107533dcd9a68f5538e05d28571136","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-09-29T20:50:55Z","title_canon_sha256":"76f4e91cd59b7e8b53b0a256c13b4c3276d9bfd30f453c1fa8165962900df13a"},"schema_version":"1.0","source":{"id":"0809.5070","kind":"arxiv","version":1}},"canonical_sha256":"84678d4ad6c4e9d6eba43223e6fd7bbfccea4c0d6de61e16f3aa4660caadb0ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84678d4ad6c4e9d6eba43223e6fd7bbfccea4c0d6de61e16f3aa4660caadb0ed","first_computed_at":"2026-07-04T15:14:43.563381Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:14:43.563381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0NsFvZ26PSeLdsj9+wmTNRmJAYU23TNdkHeypF+NYPMS71khJoF/boqCHKW9USlLL2tlNE6smeeExYYxkkz8AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:14:43.563763Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.5070","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:404549077719a32cc58615f1a7a5b0e75d4244781ec4fa9db4e8b11b82bc3372","sha256:d72a5dd155b7ac8f37d4a3b3a849dfbb80b740b0ca06b7994a821782780c1b80"],"state_sha256":"93befb288cdeaa52a3c5e39b2f6628761cb63f05cbc1b5c7205e7481e889f2b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2SWoa0tlOmCAfk+eJsucGDWZ+7QWY1CndeaC2kvgm4ifwNkdXRNX27qlPXWJgqEHzqE997qnL1iG0yrNQJ1SBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T13:06:40.282263Z","bundle_sha256":"d1cca499c9b8f5200107927b4893118db72bca4b11c0aba6488882847547c533"}}