{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:AR5I4NULR4UOZBO6CJ2BDC73VD","short_pith_number":"pith:AR5I4NUL","canonical_record":{"source":{"id":"2301.03112","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-01-08T21:26:00Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"d1b8004bb6bde838ff550923d605e998c96dea017212121aa2c73ed086a5db66","abstract_canon_sha256":"8efe198422b059b8aab89350de43028a915c90103f1c66270a6d36d5309c1285"},"schema_version":"1.0"},"canonical_sha256":"047a8e368b8f28ec85de1274118bfba8fa4c09993fdc32387ddae2a2e6b92ea1","source":{"kind":"arxiv","id":"2301.03112","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.03112","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"arxiv_version","alias_value":"2301.03112v2","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.03112","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"pith_short_12","alias_value":"AR5I4NULR4UO","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"pith_short_16","alias_value":"AR5I4NULR4UOZBO6","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"pith_short_8","alias_value":"AR5I4NUL","created_at":"2026-07-05T08:23:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:AR5I4NULR4UOZBO6CJ2BDC73VD","target":"record","payload":{"canonical_record":{"source":{"id":"2301.03112","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-01-08T21:26:00Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"d1b8004bb6bde838ff550923d605e998c96dea017212121aa2c73ed086a5db66","abstract_canon_sha256":"8efe198422b059b8aab89350de43028a915c90103f1c66270a6d36d5309c1285"},"schema_version":"1.0"},"canonical_sha256":"047a8e368b8f28ec85de1274118bfba8fa4c09993fdc32387ddae2a2e6b92ea1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:23:52.423413Z","signature_b64":"DmHdDq7vakwr5+3xneY7Qw0Dg9nz7sClF82AJESI+0AW2lj0Ul7pEpdbR26SqL6W/+qUz3zl98ZBPneuqHVKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"047a8e368b8f28ec85de1274118bfba8fa4c09993fdc32387ddae2a2e6b92ea1","last_reissued_at":"2026-07-05T08:23:52.423018Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:23:52.423018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.03112","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:23:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+BgDa2wrrowGBYvsgxkw0A/mK/zI9/7aST/8Z6tslkU71DNPk+GXvqyRLWOTj0vR0euqy7AVwc6BhxXFBzdUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:24:15.910708Z"},"content_sha256":"5381f93bae1d324c45c63e1b3d7dfc7538932a37e7ddd47a428c6ec0ff631879","schema_version":"1.0","event_id":"sha256:5381f93bae1d324c45c63e1b3d7dfc7538932a37e7ddd47a428c6ec0ff631879"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:AR5I4NULR4UOZBO6CJ2BDC73VD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Periodic Cyclic Homology over Q","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AT","authors_text":"Konrad Bals","submitted_at":"2023-01-08T21:26:00Z","abstract_excerpt":"Let $X$ be a derived scheme over an animated commutative ring of characteristic 0. We give a complete description of the periodic cyclic homology of $X$ in terms of the Hodge completed derived de Rham complex of $X$. In particular this extends earlier computations of Loday-Quillen to non-smooth algebras. Moreover, we get an explicit condition on the Hodge completed derived de Rham complex, that makes the HKR-filtration on periodic cyclic homology constructed by Antieau and Bhatt-Lurie exhaustive."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.03112","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.03112/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:23:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HrmLejgWxp/T7qePlOCLJrY7sTNoi1viCVUhEreUpMXv/ySy1JxuFa6lhpNiORj8SnZLCTx0u/KC0fXNLGQbCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:24:15.913458Z"},"content_sha256":"42a792a25fcc553d7ff52c2c4d339a8704b36bec021b3147577ce9f7d4155074","schema_version":"1.0","event_id":"sha256:42a792a25fcc553d7ff52c2c4d339a8704b36bec021b3147577ce9f7d4155074"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AR5I4NULR4UOZBO6CJ2BDC73VD/bundle.json","state_url":"https://pith.science/pith/AR5I4NULR4UOZBO6CJ2BDC73VD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AR5I4NULR4UOZBO6CJ2BDC73VD/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":"2026-08-12T12:24:15Z","links":{"resolver":"https://pith.science/pith/AR5I4NULR4UOZBO6CJ2BDC73VD","bundle":"https://pith.science/pith/AR5I4NULR4UOZBO6CJ2BDC73VD/bundle.json","state":"https://pith.science/pith/AR5I4NULR4UOZBO6CJ2BDC73VD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AR5I4NULR4UOZBO6CJ2BDC73VD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:AR5I4NULR4UOZBO6CJ2BDC73VD","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":"8efe198422b059b8aab89350de43028a915c90103f1c66270a6d36d5309c1285","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-01-08T21:26:00Z","title_canon_sha256":"d1b8004bb6bde838ff550923d605e998c96dea017212121aa2c73ed086a5db66"},"schema_version":"1.0","source":{"id":"2301.03112","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.03112","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"arxiv_version","alias_value":"2301.03112v2","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.03112","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"pith_short_12","alias_value":"AR5I4NULR4UO","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"pith_short_16","alias_value":"AR5I4NULR4UOZBO6","created_at":"2026-07-05T08:23:52Z"},{"alias_kind":"pith_short_8","alias_value":"AR5I4NUL","created_at":"2026-07-05T08:23:52Z"}],"graph_snapshots":[{"event_id":"sha256:42a792a25fcc553d7ff52c2c4d339a8704b36bec021b3147577ce9f7d4155074","target":"graph","created_at":"2026-07-05T08:23:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2301.03112/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $X$ be a derived scheme over an animated commutative ring of characteristic 0. We give a complete description of the periodic cyclic homology of $X$ in terms of the Hodge completed derived de Rham complex of $X$. In particular this extends earlier computations of Loday-Quillen to non-smooth algebras. Moreover, we get an explicit condition on the Hodge completed derived de Rham complex, that makes the HKR-filtration on periodic cyclic homology constructed by Antieau and Bhatt-Lurie exhaustive.","authors_text":"Konrad Bals","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-01-08T21:26:00Z","title":"Periodic Cyclic Homology over Q"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.03112","kind":"arxiv","version":2},"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":"sha256:5381f93bae1d324c45c63e1b3d7dfc7538932a37e7ddd47a428c6ec0ff631879","target":"record","created_at":"2026-07-05T08:23:52Z","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":"8efe198422b059b8aab89350de43028a915c90103f1c66270a6d36d5309c1285","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-01-08T21:26:00Z","title_canon_sha256":"d1b8004bb6bde838ff550923d605e998c96dea017212121aa2c73ed086a5db66"},"schema_version":"1.0","source":{"id":"2301.03112","kind":"arxiv","version":2}},"canonical_sha256":"047a8e368b8f28ec85de1274118bfba8fa4c09993fdc32387ddae2a2e6b92ea1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"047a8e368b8f28ec85de1274118bfba8fa4c09993fdc32387ddae2a2e6b92ea1","first_computed_at":"2026-07-05T08:23:52.423018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:23:52.423018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DmHdDq7vakwr5+3xneY7Qw0Dg9nz7sClF82AJESI+0AW2lj0Ul7pEpdbR26SqL6W/+qUz3zl98ZBPneuqHVKDw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:23:52.423413Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.03112","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5381f93bae1d324c45c63e1b3d7dfc7538932a37e7ddd47a428c6ec0ff631879","sha256:42a792a25fcc553d7ff52c2c4d339a8704b36bec021b3147577ce9f7d4155074"],"state_sha256":"b7190261edcc791f4a3af86379cede047ab84af01b69f2565ce534b15b3c946f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kMk6ydi6MzYBFmP0RNwNxFRH2z6/ELLZRz1NyOvvqj9eNhSXWUn9oZRct3ute9ERDQ/10cLvd4fA3qbfkKlcCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T12:24:15.920660Z","bundle_sha256":"ec6e3f91e47544d5a2ffffd1cd7af2ca39de974756d951620ae484f2434c554d"}}