{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TYA2MPT7NGJGYEJN2CJFYXCK2N","short_pith_number":"pith:TYA2MPT7","canonical_record":{"source":{"id":"1401.3705","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-15T19:01:07Z","cross_cats_sorted":[],"title_canon_sha256":"ebdc6152838628e40d00e7e8c2d2e6d99f28d44b65047cce767b4dfd676bf66e","abstract_canon_sha256":"ab187c111c93cd41ba3879c07d553d45362c08139acdbc241e43ad183fdb39b5"},"schema_version":"1.0"},"canonical_sha256":"9e01a63e7f69926c112dd0925c5c4ad37bf1871b67fe714f8d8470651bf4e364","source":{"kind":"arxiv","id":"1401.3705","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3705","created_at":"2026-05-18T03:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3705v1","created_at":"2026-05-18T03:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3705","created_at":"2026-05-18T03:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"TYA2MPT7NGJG","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TYA2MPT7NGJGYEJN","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TYA2MPT7","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TYA2MPT7NGJGYEJN2CJFYXCK2N","target":"record","payload":{"canonical_record":{"source":{"id":"1401.3705","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-15T19:01:07Z","cross_cats_sorted":[],"title_canon_sha256":"ebdc6152838628e40d00e7e8c2d2e6d99f28d44b65047cce767b4dfd676bf66e","abstract_canon_sha256":"ab187c111c93cd41ba3879c07d553d45362c08139acdbc241e43ad183fdb39b5"},"schema_version":"1.0"},"canonical_sha256":"9e01a63e7f69926c112dd0925c5c4ad37bf1871b67fe714f8d8470651bf4e364","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:07.902541Z","signature_b64":"RWvjAjfkvyOFaFip6xwy42zhLs/svDtACEyUy/A2ebKuQS5pXZL7qCrXorzmH4IbCnSk/WTxFiG8xBAc6u90DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e01a63e7f69926c112dd0925c5c4ad37bf1871b67fe714f8d8470651bf4e364","last_reissued_at":"2026-05-18T03:02:07.902010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:07.902010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.3705","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":"2026-05-18T03:02:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"91Vmicw8RXBU5o/OzRSe4U2DozGbp5Gvz4vrxm+oGD1kNun68uTnSTl/RPPXhPV+vDVxNSRLIWxhyjT0fmMOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:25:44.667128Z"},"content_sha256":"5f60a0ce09f661af9c18c627b18df0d26a4d0403c1e198b9a74a2814f093fd99","schema_version":"1.0","event_id":"sha256:5f60a0ce09f661af9c18c627b18df0d26a4d0403c1e198b9a74a2814f093fd99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TYA2MPT7NGJGYEJN2CJFYXCK2N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The projectors of the decomposition theorem are motivic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Luca Migliorini, Mark Andrea A. de Cataldo","submitted_at":"2014-01-15T19:01:07Z","abstract_excerpt":"We prove that the projectors arising from the decomposition theorem applied to a projective map of quasi projective varieties are absolute Hodge, Andr\\'e motivated, Tate and Ogus classes. As a by-product, we introduce, in characteristic zero, the notions of algebraic de Rham intersection cohomology groups of a quasi projective variety and of intersection cohomology motive of a projective variety."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3705","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":""},"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":"2026-05-18T03:02:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QmTyWOf+v32iDJJQXLc6MKTo9T5O/+XzEccUNniYdqX3tWIEjxGNnfDrvPZTfi4GJJJfi1HnotoxroB9dXbrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:25:44.667486Z"},"content_sha256":"afd2164de5b8c3a796831933b022103758e87892ed863f13aa5eb4c030f56c26","schema_version":"1.0","event_id":"sha256:afd2164de5b8c3a796831933b022103758e87892ed863f13aa5eb4c030f56c26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TYA2MPT7NGJGYEJN2CJFYXCK2N/bundle.json","state_url":"https://pith.science/pith/TYA2MPT7NGJGYEJN2CJFYXCK2N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TYA2MPT7NGJGYEJN2CJFYXCK2N/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":"2026-06-20T04:25:44Z","links":{"resolver":"https://pith.science/pith/TYA2MPT7NGJGYEJN2CJFYXCK2N","bundle":"https://pith.science/pith/TYA2MPT7NGJGYEJN2CJFYXCK2N/bundle.json","state":"https://pith.science/pith/TYA2MPT7NGJGYEJN2CJFYXCK2N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TYA2MPT7NGJGYEJN2CJFYXCK2N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TYA2MPT7NGJGYEJN2CJFYXCK2N","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":"ab187c111c93cd41ba3879c07d553d45362c08139acdbc241e43ad183fdb39b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-15T19:01:07Z","title_canon_sha256":"ebdc6152838628e40d00e7e8c2d2e6d99f28d44b65047cce767b4dfd676bf66e"},"schema_version":"1.0","source":{"id":"1401.3705","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3705","created_at":"2026-05-18T03:02:07Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3705v1","created_at":"2026-05-18T03:02:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3705","created_at":"2026-05-18T03:02:07Z"},{"alias_kind":"pith_short_12","alias_value":"TYA2MPT7NGJG","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TYA2MPT7NGJGYEJN","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TYA2MPT7","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:afd2164de5b8c3a796831933b022103758e87892ed863f13aa5eb4c030f56c26","target":"graph","created_at":"2026-05-18T03:02:07Z","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":"We prove that the projectors arising from the decomposition theorem applied to a projective map of quasi projective varieties are absolute Hodge, Andr\\'e motivated, Tate and Ogus classes. As a by-product, we introduce, in characteristic zero, the notions of algebraic de Rham intersection cohomology groups of a quasi projective variety and of intersection cohomology motive of a projective variety.","authors_text":"Luca Migliorini, Mark Andrea A. de Cataldo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-15T19:01:07Z","title":"The projectors of the decomposition theorem are motivic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3705","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":"sha256:5f60a0ce09f661af9c18c627b18df0d26a4d0403c1e198b9a74a2814f093fd99","target":"record","created_at":"2026-05-18T03:02:07Z","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":"ab187c111c93cd41ba3879c07d553d45362c08139acdbc241e43ad183fdb39b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-15T19:01:07Z","title_canon_sha256":"ebdc6152838628e40d00e7e8c2d2e6d99f28d44b65047cce767b4dfd676bf66e"},"schema_version":"1.0","source":{"id":"1401.3705","kind":"arxiv","version":1}},"canonical_sha256":"9e01a63e7f69926c112dd0925c5c4ad37bf1871b67fe714f8d8470651bf4e364","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e01a63e7f69926c112dd0925c5c4ad37bf1871b67fe714f8d8470651bf4e364","first_computed_at":"2026-05-18T03:02:07.902010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:07.902010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RWvjAjfkvyOFaFip6xwy42zhLs/svDtACEyUy/A2ebKuQS5pXZL7qCrXorzmH4IbCnSk/WTxFiG8xBAc6u90DA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:07.902541Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3705","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f60a0ce09f661af9c18c627b18df0d26a4d0403c1e198b9a74a2814f093fd99","sha256:afd2164de5b8c3a796831933b022103758e87892ed863f13aa5eb4c030f56c26"],"state_sha256":"70b34ee4cd55db676728028514a5f1f71c0ba328d62d21378988a08fdd80dbda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0R4c1saczH/w/HAqHYp8NIuMNl9wgknLeojsQH+3ySARngueXjlAcdIU2OEGsEkAVEQtuPsNia2k9IaQG9XwDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T04:25:44.669435Z","bundle_sha256":"431f64b820cb601a9e5f46511404ea7697bddee76d527557882ce3331a0c040b"}}