{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:AHOV2U2V6TL7ZHYC6E2NWXD4EL","short_pith_number":"pith:AHOV2U2V","canonical_record":{"source":{"id":"1110.1023","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T15:45:43Z","cross_cats_sorted":[],"title_canon_sha256":"16eaf891fb6f2874b1cbe694943a2311c5232f4cb3b5622041fa7dbd1402eabc","abstract_canon_sha256":"ddb9602554ec521848d5a4f9eadbc163793becb32980779d6731be55f8fdf820"},"schema_version":"1.0"},"canonical_sha256":"01dd5d5355f4d7fc9f02f134db5c7c22f12bd1f93db60ea66dbe1a5f42b3b03c","source":{"kind":"arxiv","id":"1110.1023","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1023","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1023v3","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1023","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"pith_short_12","alias_value":"AHOV2U2V6TL7","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AHOV2U2V6TL7ZHYC","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AHOV2U2V","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:AHOV2U2V6TL7ZHYC6E2NWXD4EL","target":"record","payload":{"canonical_record":{"source":{"id":"1110.1023","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T15:45:43Z","cross_cats_sorted":[],"title_canon_sha256":"16eaf891fb6f2874b1cbe694943a2311c5232f4cb3b5622041fa7dbd1402eabc","abstract_canon_sha256":"ddb9602554ec521848d5a4f9eadbc163793becb32980779d6731be55f8fdf820"},"schema_version":"1.0"},"canonical_sha256":"01dd5d5355f4d7fc9f02f134db5c7c22f12bd1f93db60ea66dbe1a5f42b3b03c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:24.535366Z","signature_b64":"uDiVtZGMAR33iN8GvjsLh9e2xjgotb9S1kf7nzXVCpoH8AzJ/IVdiJKSZAIKtdTSxD/yeCSuiKiUaHeaWdIiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01dd5d5355f4d7fc9f02f134db5c7c22f12bd1f93db60ea66dbe1a5f42b3b03c","last_reissued_at":"2026-05-18T03:58:24.534647Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:24.534647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.1023","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":"2026-05-18T03:58:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FMKKYJ8xWMxL1Y7FpYOwtmxES8ezZu6tz1Vhsdnkd6rn87jQCQI22bR2I3gTa/mQC9oPzGshNgyEoDZ1pgWuDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:57:10.106372Z"},"content_sha256":"861121fdfbedf9e81d2bd61bcdcc360b2f0493de77990f07eed579b24d779f49","schema_version":"1.0","event_id":"sha256:861121fdfbedf9e81d2bd61bcdcc360b2f0493de77990f07eed579b24d779f49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:AHOV2U2V6TL7ZHYC6E2NWXD4EL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decompositions of motives of generalized Severi-Brauer varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Maksim Zhykhovich","submitted_at":"2011-10-05T15:45:43Z","abstract_excerpt":"Let p be a positive prime number and X be a Severi-Brauer variety of a central division algebra D of degree p^n, with n>0. We describe all shifts of the motive of X in the complete motivic decomposition of a variety Y, which splits over the function field of X and satisfies the nilpotence principle. In particular, we prove the motivic decomposability of generalized Severi-Brauer varieties X(p^m,D) of right ideals in D of reduced dimension p^m, m=0,1,...,n-1, except the cases p=2, m=1 and m=0 (for any prime p), where motivic indecomposability was proven by Nikita Karpenko."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1023","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":"2026-05-18T03:58:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fcJGdFH1E2BVttvZugja5jcWRaxvfuci0KJKWy7ZZuoeTQFCKHA71+zVnymPKmCAMXEGXB0n4Oh4MojOEgs+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:57:10.106741Z"},"content_sha256":"3be9c9dfd32da9a80c65583535dc5c1afd07c07d11fe87f3e306d0b1869acd16","schema_version":"1.0","event_id":"sha256:3be9c9dfd32da9a80c65583535dc5c1afd07c07d11fe87f3e306d0b1869acd16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AHOV2U2V6TL7ZHYC6E2NWXD4EL/bundle.json","state_url":"https://pith.science/pith/AHOV2U2V6TL7ZHYC6E2NWXD4EL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AHOV2U2V6TL7ZHYC6E2NWXD4EL/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":"2026-06-26T15:57:10Z","links":{"resolver":"https://pith.science/pith/AHOV2U2V6TL7ZHYC6E2NWXD4EL","bundle":"https://pith.science/pith/AHOV2U2V6TL7ZHYC6E2NWXD4EL/bundle.json","state":"https://pith.science/pith/AHOV2U2V6TL7ZHYC6E2NWXD4EL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AHOV2U2V6TL7ZHYC6E2NWXD4EL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AHOV2U2V6TL7ZHYC6E2NWXD4EL","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":"ddb9602554ec521848d5a4f9eadbc163793becb32980779d6731be55f8fdf820","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T15:45:43Z","title_canon_sha256":"16eaf891fb6f2874b1cbe694943a2311c5232f4cb3b5622041fa7dbd1402eabc"},"schema_version":"1.0","source":{"id":"1110.1023","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1023","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1023v3","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1023","created_at":"2026-05-18T03:58:24Z"},{"alias_kind":"pith_short_12","alias_value":"AHOV2U2V6TL7","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AHOV2U2V6TL7ZHYC","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AHOV2U2V","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:3be9c9dfd32da9a80c65583535dc5c1afd07c07d11fe87f3e306d0b1869acd16","target":"graph","created_at":"2026-05-18T03:58:24Z","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":"Let p be a positive prime number and X be a Severi-Brauer variety of a central division algebra D of degree p^n, with n>0. We describe all shifts of the motive of X in the complete motivic decomposition of a variety Y, which splits over the function field of X and satisfies the nilpotence principle. In particular, we prove the motivic decomposability of generalized Severi-Brauer varieties X(p^m,D) of right ideals in D of reduced dimension p^m, m=0,1,...,n-1, except the cases p=2, m=1 and m=0 (for any prime p), where motivic indecomposability was proven by Nikita Karpenko.","authors_text":"Maksim Zhykhovich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T15:45:43Z","title":"Decompositions of motives of generalized Severi-Brauer varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1023","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":"sha256:861121fdfbedf9e81d2bd61bcdcc360b2f0493de77990f07eed579b24d779f49","target":"record","created_at":"2026-05-18T03:58:24Z","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":"ddb9602554ec521848d5a4f9eadbc163793becb32980779d6731be55f8fdf820","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-10-05T15:45:43Z","title_canon_sha256":"16eaf891fb6f2874b1cbe694943a2311c5232f4cb3b5622041fa7dbd1402eabc"},"schema_version":"1.0","source":{"id":"1110.1023","kind":"arxiv","version":3}},"canonical_sha256":"01dd5d5355f4d7fc9f02f134db5c7c22f12bd1f93db60ea66dbe1a5f42b3b03c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01dd5d5355f4d7fc9f02f134db5c7c22f12bd1f93db60ea66dbe1a5f42b3b03c","first_computed_at":"2026-05-18T03:58:24.534647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:24.534647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uDiVtZGMAR33iN8GvjsLh9e2xjgotb9S1kf7nzXVCpoH8AzJ/IVdiJKSZAIKtdTSxD/yeCSuiKiUaHeaWdIiBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:24.535366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1023","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:861121fdfbedf9e81d2bd61bcdcc360b2f0493de77990f07eed579b24d779f49","sha256:3be9c9dfd32da9a80c65583535dc5c1afd07c07d11fe87f3e306d0b1869acd16"],"state_sha256":"f906f51a29a22a9be66dcb03d7416a84acece6793ef8b430844d17c3b456b3dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6QfNnWTAQ5MZFpEhdlJX9sKH+d5nUNUO0k4A1gQA/4t5fPljlis/IWSueX6vhp7iICjZ0p62M001lBmGbImRBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T15:57:10.108797Z","bundle_sha256":"455ffa114f579a5cb78abb3996e664757b5577253ee4c318b96935d50f8d2f7f"}}