{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7UOO3G3ZMLC2HCJ7POX22LRIJK","short_pith_number":"pith:7UOO3G3Z","canonical_record":{"source":{"id":"1206.2704","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-13T02:55:29Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"09aebf83bfef33899187cf875ee3516e35fd45dfbc4c0d5e62883a75d92bf442","abstract_canon_sha256":"21b6a9f0e74ff633edf9599316b06b1239b9be8fbd7ab89a1f208d8c63ce4ed7"},"schema_version":"1.0"},"canonical_sha256":"fd1ced9b7962c5a3893f7bafad2e284a8b72ed68891ee1c4f0cb4afbac41d712","source":{"kind":"arxiv","id":"1206.2704","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2704","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2704v4","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2704","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"7UOO3G3ZMLC2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7UOO3G3ZMLC2HCJ7","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7UOO3G3Z","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7UOO3G3ZMLC2HCJ7POX22LRIJK","target":"record","payload":{"canonical_record":{"source":{"id":"1206.2704","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-13T02:55:29Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"09aebf83bfef33899187cf875ee3516e35fd45dfbc4c0d5e62883a75d92bf442","abstract_canon_sha256":"21b6a9f0e74ff633edf9599316b06b1239b9be8fbd7ab89a1f208d8c63ce4ed7"},"schema_version":"1.0"},"canonical_sha256":"fd1ced9b7962c5a3893f7bafad2e284a8b72ed68891ee1c4f0cb4afbac41d712","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:18.709258Z","signature_b64":"gM7KrzJdOJ3OswbIi1vugE2Xqy8/d0e8IaS6ejxSukUd3Yn9dWJ+ipn6OSPAmU43w9gOXlwT1kYGGpa/xUM7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd1ced9b7962c5a3893f7bafad2e284a8b72ed68891ee1c4f0cb4afbac41d712","last_reissued_at":"2026-05-18T02:55:18.708782Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:18.708782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.2704","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":"2026-05-18T02:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mbafBme2vKB73SBUXaYwmWjVcWCx83wPIG6lLZDA5VhRvrvzCVYOmV7KWUr8Ci1PgyUjZABQYZyY96fcswBFCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T19:49:11.196853Z"},"content_sha256":"8d326285248477d2242259fa289adee7f6282e2fd8e2028fdfd18736abe09b50","schema_version":"1.0","event_id":"sha256:8d326285248477d2242259fa289adee7f6282e2fd8e2028fdfd18736abe09b50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7UOO3G3ZMLC2HCJ7POX22LRIJK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the torsion of Chow groups of Severi-Brauer varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AG","authors_text":"Sanghoon Baek","submitted_at":"2012-06-13T02:55:29Z","abstract_excerpt":"In this paper, we generalize a result of Karpenko on the torsion in the second quotient of the gamma filtration for Severi-Brauer varieties to higher degrees. As an application, we provide a nontrivial torsion in higher Chow groups and the topological filtration of the associated generic variety and obtain new upper bounds for the annihilators of the torsion subgroups in the Chow groups of a large class of Severi-Brauer varieties. In particular, using the torsion in higher degrees, we show indecomposability of certain algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2704","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":"2026-05-18T02:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kXYaTj7E4EWB7j7e/ONfZ32/LDO93/C0XYPq0PBI0Og5aVoAlGuKxwX16HaahDovdM6yrZezBHkSPSelEFecAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T19:49:11.197193Z"},"content_sha256":"2913ebd3f312b24eb25a736c11556b872911970b4051c05fbbea05b47ad7bf0c","schema_version":"1.0","event_id":"sha256:2913ebd3f312b24eb25a736c11556b872911970b4051c05fbbea05b47ad7bf0c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7UOO3G3ZMLC2HCJ7POX22LRIJK/bundle.json","state_url":"https://pith.science/pith/7UOO3G3ZMLC2HCJ7POX22LRIJK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7UOO3G3ZMLC2HCJ7POX22LRIJK/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":"2026-06-20T19:49:11Z","links":{"resolver":"https://pith.science/pith/7UOO3G3ZMLC2HCJ7POX22LRIJK","bundle":"https://pith.science/pith/7UOO3G3ZMLC2HCJ7POX22LRIJK/bundle.json","state":"https://pith.science/pith/7UOO3G3ZMLC2HCJ7POX22LRIJK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7UOO3G3ZMLC2HCJ7POX22LRIJK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7UOO3G3ZMLC2HCJ7POX22LRIJK","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":"21b6a9f0e74ff633edf9599316b06b1239b9be8fbd7ab89a1f208d8c63ce4ed7","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-13T02:55:29Z","title_canon_sha256":"09aebf83bfef33899187cf875ee3516e35fd45dfbc4c0d5e62883a75d92bf442"},"schema_version":"1.0","source":{"id":"1206.2704","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2704","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2704v4","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2704","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"7UOO3G3ZMLC2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7UOO3G3ZMLC2HCJ7","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7UOO3G3Z","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:2913ebd3f312b24eb25a736c11556b872911970b4051c05fbbea05b47ad7bf0c","target":"graph","created_at":"2026-05-18T02:55:18Z","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 generalize a result of Karpenko on the torsion in the second quotient of the gamma filtration for Severi-Brauer varieties to higher degrees. As an application, we provide a nontrivial torsion in higher Chow groups and the topological filtration of the associated generic variety and obtain new upper bounds for the annihilators of the torsion subgroups in the Chow groups of a large class of Severi-Brauer varieties. In particular, using the torsion in higher degrees, we show indecomposability of certain algebras.","authors_text":"Sanghoon Baek","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-13T02:55:29Z","title":"On the torsion of Chow groups of Severi-Brauer varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2704","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":"sha256:8d326285248477d2242259fa289adee7f6282e2fd8e2028fdfd18736abe09b50","target":"record","created_at":"2026-05-18T02:55:18Z","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":"21b6a9f0e74ff633edf9599316b06b1239b9be8fbd7ab89a1f208d8c63ce4ed7","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-06-13T02:55:29Z","title_canon_sha256":"09aebf83bfef33899187cf875ee3516e35fd45dfbc4c0d5e62883a75d92bf442"},"schema_version":"1.0","source":{"id":"1206.2704","kind":"arxiv","version":4}},"canonical_sha256":"fd1ced9b7962c5a3893f7bafad2e284a8b72ed68891ee1c4f0cb4afbac41d712","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd1ced9b7962c5a3893f7bafad2e284a8b72ed68891ee1c4f0cb4afbac41d712","first_computed_at":"2026-05-18T02:55:18.708782Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:18.708782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gM7KrzJdOJ3OswbIi1vugE2Xqy8/d0e8IaS6ejxSukUd3Yn9dWJ+ipn6OSPAmU43w9gOXlwT1kYGGpa/xUM7Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:18.709258Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2704","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d326285248477d2242259fa289adee7f6282e2fd8e2028fdfd18736abe09b50","sha256:2913ebd3f312b24eb25a736c11556b872911970b4051c05fbbea05b47ad7bf0c"],"state_sha256":"ada0ac90c49490acbbae971058f8a8fe202a70252b9269cb053eb5090fd537a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HKLfkjPnj6N/EBZAnMwftmf3dmSTi6cJzjQBJo5FKAtwJ2Y1x2APYHCUSX4t1yxH4XyIElovkmloTBGGFYUCDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T19:49:11.199159Z","bundle_sha256":"d23170dc4a2b8c473431761890c79cd80d07706dac08d0636d5d6eb6804fdaf6"}}