{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Q2EEIVL4NMUPR7VSDEXUBELUXO","short_pith_number":"pith:Q2EEIVL4","canonical_record":{"source":{"id":"1111.6327","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T01:18:13Z","cross_cats_sorted":[],"title_canon_sha256":"237f7b3d6223400721fda8266a7855a70bb20ea922660d85534b169a66f4927f","abstract_canon_sha256":"5744bb3c26baa18a45365c55d0a947ba11c43cc42bad0fd917b3bec6b1638724"},"schema_version":"1.0"},"canonical_sha256":"868844557c6b28f8feb2192f409174bbb8135e6a7d581c52749e249b30dc8efa","source":{"kind":"arxiv","id":"1111.6327","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6327","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6327v4","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6327","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"pith_short_12","alias_value":"Q2EEIVL4NMUP","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q2EEIVL4NMUPR7VS","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q2EEIVL4","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Q2EEIVL4NMUPR7VSDEXUBELUXO","target":"record","payload":{"canonical_record":{"source":{"id":"1111.6327","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T01:18:13Z","cross_cats_sorted":[],"title_canon_sha256":"237f7b3d6223400721fda8266a7855a70bb20ea922660d85534b169a66f4927f","abstract_canon_sha256":"5744bb3c26baa18a45365c55d0a947ba11c43cc42bad0fd917b3bec6b1638724"},"schema_version":"1.0"},"canonical_sha256":"868844557c6b28f8feb2192f409174bbb8135e6a7d581c52749e249b30dc8efa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:23.047116Z","signature_b64":"tpqlRDPy67qkY0CgeWSRXlYkEHsq9Uj+1r0iqFvii8Fg41yqHiIaLeAUbCdO4WxkNnhsAcefkDAbs0xB7f9MAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"868844557c6b28f8feb2192f409174bbb8135e6a7d581c52749e249b30dc8efa","last_reissued_at":"2026-05-18T03:09:23.046293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:23.046293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.6327","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:09:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3QKFIpKRei3wRRP+Qg7rCP2TSf2A3MmOWPsOpQTUPH4v5ZSbxXUYv2XKM+buCUe2gMZeq/0ani2BtjTGLwTICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:24:01.797902Z"},"content_sha256":"71468b4d6d76b49f0953f66cecb697faf2ec82cd7f8d7610e2b3b66a2ffa1df4","schema_version":"1.0","event_id":"sha256:71468b4d6d76b49f0953f66cecb697faf2ec82cd7f8d7610e2b3b66a2ffa1df4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Q2EEIVL4NMUPR7VSDEXUBELUXO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Prym-Tjurin Constructions on Cubic Hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mingmin Shen","submitted_at":"2011-11-28T01:18:13Z","abstract_excerpt":"In this paper, we give a Prym-Tjurin construction for the cohomology and the Chow groups for a cubic hypersurface. On the space of lines meeting a given rational curve, there is the incidence correspondence. This correspondence induces an action on both of the primitive cohomology and the primitive Chow groups. We first show that this action satisfies a quadratic equation. Then the Abel-Jacobi homomorphism induces an isomorphism between the primitive cohomology of the cubic hypersurface and the Prym-Tjurin part of the above action. This also holds for Chow groups with rational coefficients."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6327","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T03:09:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M/dE/SyXhb4qNuiEpoBRT1ToWdyFkEPCTDPmYUzNvR8mcYx05v3xO9aYcA+iFB7ZBH2peWbykYXzmDUdt6F1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:24:01.798244Z"},"content_sha256":"588072c86425861cbd253b7c5f26648890b88a54c98434582787c1ca673fe97c","schema_version":"1.0","event_id":"sha256:588072c86425861cbd253b7c5f26648890b88a54c98434582787c1ca673fe97c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q2EEIVL4NMUPR7VSDEXUBELUXO/bundle.json","state_url":"https://pith.science/pith/Q2EEIVL4NMUPR7VSDEXUBELUXO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q2EEIVL4NMUPR7VSDEXUBELUXO/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":"2026-06-23T15:24:01Z","links":{"resolver":"https://pith.science/pith/Q2EEIVL4NMUPR7VSDEXUBELUXO","bundle":"https://pith.science/pith/Q2EEIVL4NMUPR7VSDEXUBELUXO/bundle.json","state":"https://pith.science/pith/Q2EEIVL4NMUPR7VSDEXUBELUXO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q2EEIVL4NMUPR7VSDEXUBELUXO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Q2EEIVL4NMUPR7VSDEXUBELUXO","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":"5744bb3c26baa18a45365c55d0a947ba11c43cc42bad0fd917b3bec6b1638724","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T01:18:13Z","title_canon_sha256":"237f7b3d6223400721fda8266a7855a70bb20ea922660d85534b169a66f4927f"},"schema_version":"1.0","source":{"id":"1111.6327","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6327","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6327v4","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6327","created_at":"2026-05-18T03:09:23Z"},{"alias_kind":"pith_short_12","alias_value":"Q2EEIVL4NMUP","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q2EEIVL4NMUPR7VS","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q2EEIVL4","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:588072c86425861cbd253b7c5f26648890b88a54c98434582787c1ca673fe97c","target":"graph","created_at":"2026-05-18T03:09:23Z","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"},"paper":{"abstract_excerpt":"In this paper, we give a Prym-Tjurin construction for the cohomology and the Chow groups for a cubic hypersurface. On the space of lines meeting a given rational curve, there is the incidence correspondence. This correspondence induces an action on both of the primitive cohomology and the primitive Chow groups. We first show that this action satisfies a quadratic equation. Then the Abel-Jacobi homomorphism induces an isomorphism between the primitive cohomology of the cubic hypersurface and the Prym-Tjurin part of the above action. This also holds for Chow groups with rational coefficients.","authors_text":"Mingmin Shen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T01:18:13Z","title":"Prym-Tjurin Constructions on Cubic Hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6327","kind":"arxiv","version":4},"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":"sha256:71468b4d6d76b49f0953f66cecb697faf2ec82cd7f8d7610e2b3b66a2ffa1df4","target":"record","created_at":"2026-05-18T03:09:23Z","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":"5744bb3c26baa18a45365c55d0a947ba11c43cc42bad0fd917b3bec6b1638724","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-11-28T01:18:13Z","title_canon_sha256":"237f7b3d6223400721fda8266a7855a70bb20ea922660d85534b169a66f4927f"},"schema_version":"1.0","source":{"id":"1111.6327","kind":"arxiv","version":4}},"canonical_sha256":"868844557c6b28f8feb2192f409174bbb8135e6a7d581c52749e249b30dc8efa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"868844557c6b28f8feb2192f409174bbb8135e6a7d581c52749e249b30dc8efa","first_computed_at":"2026-05-18T03:09:23.046293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:23.046293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tpqlRDPy67qkY0CgeWSRXlYkEHsq9Uj+1r0iqFvii8Fg41yqHiIaLeAUbCdO4WxkNnhsAcefkDAbs0xB7f9MAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:23.047116Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6327","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71468b4d6d76b49f0953f66cecb697faf2ec82cd7f8d7610e2b3b66a2ffa1df4","sha256:588072c86425861cbd253b7c5f26648890b88a54c98434582787c1ca673fe97c"],"state_sha256":"b92578c3f834b9b67d85265c5f23f52985d68b77f9eac737cfd5cf5459cdc826"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zvKZbVV6Qg9uk5THW6rC5rX0WTY6zBPgNhVrrjAZeZ/VKmPZPMS10nr/lYZlIgZxVlh3zGbmAhPviFoDdsQuDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:24:01.800198Z","bundle_sha256":"08eabe94da417b4aacdbaa9aa23606cdf4466a1243b270babb60b7da24c2a45d"}}