{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:AKK4JHOJFIIQRTUSKERYFHJ7M2","short_pith_number":"pith:AKK4JHOJ","canonical_record":{"source":{"id":"1205.1732","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-08T15:53:06Z","cross_cats_sorted":["math.AT","math.KT"],"title_canon_sha256":"b9d964c5582bac2eda8c9556e8fe65d619aa7d41123124dc710f3c7b62d9b732","abstract_canon_sha256":"bd32c6ec6bf995182876c29be2b61d2994580c84fb01dc1a01f7c6fb1029a3f8"},"schema_version":"1.0"},"canonical_sha256":"0295c49dc92a1108ce925123829d3f66a758101ffc0bcc11b89343d069b16045","source":{"kind":"arxiv","id":"1205.1732","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1732","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1732v3","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1732","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"AKK4JHOJFIIQ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AKK4JHOJFIIQRTUS","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AKK4JHOJ","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:AKK4JHOJFIIQRTUSKERYFHJ7M2","target":"record","payload":{"canonical_record":{"source":{"id":"1205.1732","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-08T15:53:06Z","cross_cats_sorted":["math.AT","math.KT"],"title_canon_sha256":"b9d964c5582bac2eda8c9556e8fe65d619aa7d41123124dc710f3c7b62d9b732","abstract_canon_sha256":"bd32c6ec6bf995182876c29be2b61d2994580c84fb01dc1a01f7c6fb1029a3f8"},"schema_version":"1.0"},"canonical_sha256":"0295c49dc92a1108ce925123829d3f66a758101ffc0bcc11b89343d069b16045","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:41.386383Z","signature_b64":"T5GPTYZMr/zrjnoboK8udh5GOl2EE0BpIzRsig70evr4Wr6/JreffoAUoGGIUmEMTNDjnt5M7aXBzhs49S2cDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0295c49dc92a1108ce925123829d3f66a758101ffc0bcc11b89343d069b16045","last_reissued_at":"2026-05-18T03:07:41.385695Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:41.385695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.1732","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":"2026-05-18T03:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TMZM99wx40cWlILErUcXjTU0a+NniDvFmhI0gjlPRfCslQPAxz4B3R9bzk6CcgT6UuJfKS/20xWTjLQtOSpcDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:25:13.845280Z"},"content_sha256":"ddd464bfafe0448c564ef81ee762609c30ecf6414515bc9dcca369fb10c55af4","schema_version":"1.0","event_id":"sha256:ddd464bfafe0448c564ef81ee762609c30ecf6414515bc9dcca369fb10c55af4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:AKK4JHOJFIIQRTUSKERYFHJ7M2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncommutative Artin motives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.KT"],"primary_cat":"math.AG","authors_text":"Goncalo Tabuada, Matilde Marcolli","submitted_at":"2012-05-08T15:53:06Z","abstract_excerpt":"In this article we introduce the categories of noncommutative (mixed) Artin motives. In the pure world, we start by proving that the classical category AM(k) of Artin motives (over a base field k) can be characterized as the largest category inside Chow motives which fully-embeds into noncommutative Chow motives. Making use of a refined bridge between pure motives and noncommutative pure motives we then show that the image of this full embedding, which we call the category NAM(k) of noncommutative Artin motives, is invariant under the different equivalence relations and modification of the sym"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1732","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":""},"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":"2026-05-18T03:07:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fnQpeIagbYBSMfSqK6d5auiRiQbTwN6XKZ9mEzo8IBvJE6XYL0qjr5Lg0g3mwu+mgkUPHzkL99RnghAY/CcQCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:25:13.845994Z"},"content_sha256":"ab8940ff28595703750fdfaf13bced303fd5d733755c9836829c63dae6c74f2f","schema_version":"1.0","event_id":"sha256:ab8940ff28595703750fdfaf13bced303fd5d733755c9836829c63dae6c74f2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AKK4JHOJFIIQRTUSKERYFHJ7M2/bundle.json","state_url":"https://pith.science/pith/AKK4JHOJFIIQRTUSKERYFHJ7M2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AKK4JHOJFIIQRTUSKERYFHJ7M2/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":"2026-06-09T04:25:13Z","links":{"resolver":"https://pith.science/pith/AKK4JHOJFIIQRTUSKERYFHJ7M2","bundle":"https://pith.science/pith/AKK4JHOJFIIQRTUSKERYFHJ7M2/bundle.json","state":"https://pith.science/pith/AKK4JHOJFIIQRTUSKERYFHJ7M2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AKK4JHOJFIIQRTUSKERYFHJ7M2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AKK4JHOJFIIQRTUSKERYFHJ7M2","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":"bd32c6ec6bf995182876c29be2b61d2994580c84fb01dc1a01f7c6fb1029a3f8","cross_cats_sorted":["math.AT","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-08T15:53:06Z","title_canon_sha256":"b9d964c5582bac2eda8c9556e8fe65d619aa7d41123124dc710f3c7b62d9b732"},"schema_version":"1.0","source":{"id":"1205.1732","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1732","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1732v3","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1732","created_at":"2026-05-18T03:07:41Z"},{"alias_kind":"pith_short_12","alias_value":"AKK4JHOJFIIQ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AKK4JHOJFIIQRTUS","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AKK4JHOJ","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:ab8940ff28595703750fdfaf13bced303fd5d733755c9836829c63dae6c74f2f","target":"graph","created_at":"2026-05-18T03:07:41Z","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 article we introduce the categories of noncommutative (mixed) Artin motives. In the pure world, we start by proving that the classical category AM(k) of Artin motives (over a base field k) can be characterized as the largest category inside Chow motives which fully-embeds into noncommutative Chow motives. Making use of a refined bridge between pure motives and noncommutative pure motives we then show that the image of this full embedding, which we call the category NAM(k) of noncommutative Artin motives, is invariant under the different equivalence relations and modification of the sym","authors_text":"Goncalo Tabuada, Matilde Marcolli","cross_cats":["math.AT","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-08T15:53:06Z","title":"Noncommutative Artin motives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1732","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:ddd464bfafe0448c564ef81ee762609c30ecf6414515bc9dcca369fb10c55af4","target":"record","created_at":"2026-05-18T03:07:41Z","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":"bd32c6ec6bf995182876c29be2b61d2994580c84fb01dc1a01f7c6fb1029a3f8","cross_cats_sorted":["math.AT","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-08T15:53:06Z","title_canon_sha256":"b9d964c5582bac2eda8c9556e8fe65d619aa7d41123124dc710f3c7b62d9b732"},"schema_version":"1.0","source":{"id":"1205.1732","kind":"arxiv","version":3}},"canonical_sha256":"0295c49dc92a1108ce925123829d3f66a758101ffc0bcc11b89343d069b16045","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0295c49dc92a1108ce925123829d3f66a758101ffc0bcc11b89343d069b16045","first_computed_at":"2026-05-18T03:07:41.385695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:41.385695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T5GPTYZMr/zrjnoboK8udh5GOl2EE0BpIzRsig70evr4Wr6/JreffoAUoGGIUmEMTNDjnt5M7aXBzhs49S2cDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:41.386383Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.1732","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddd464bfafe0448c564ef81ee762609c30ecf6414515bc9dcca369fb10c55af4","sha256:ab8940ff28595703750fdfaf13bced303fd5d733755c9836829c63dae6c74f2f"],"state_sha256":"24ece30c6e611d368705a219f379e0d620ee48b4c5485eb2b8ed4eb1e71f98b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0K7TIEfCSND+uW2Md7ap6VkzoLDCwj3Wz82j2T3hlYQkOHckPoKNNiovnx0PaaWtpQf+QCsRpgnePqvSsAZ1Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:25:13.850708Z","bundle_sha256":"bc95e2961d83278d586a4eaf0662d0b0058e706b38716d8fcdb58d2818cc2ed5"}}