{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JXZZ3V5TKDOVMSXJYXKEBLNG5M","short_pith_number":"pith:JXZZ3V5T","canonical_record":{"source":{"id":"1604.01124","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-04-05T03:40:50Z","cross_cats_sorted":[],"title_canon_sha256":"60238e002569bd156b0568c1f20f72153e0e6eb7e908d1c5145aaeb1b1dfd716","abstract_canon_sha256":"361ece6291eacb1141e9379021fb27c422d973be4aca9a6c045881b979187ba1"},"schema_version":"1.0"},"canonical_sha256":"4df39dd7b350dd564ae9c5d440ada6eb1abd941f300b64f99192fc41f1421a8f","source":{"kind":"arxiv","id":"1604.01124","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01124","created_at":"2026-05-18T01:14:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01124v2","created_at":"2026-05-18T01:14:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01124","created_at":"2026-05-18T01:14:12Z"},{"alias_kind":"pith_short_12","alias_value":"JXZZ3V5TKDOV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JXZZ3V5TKDOVMSXJ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JXZZ3V5T","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JXZZ3V5TKDOVMSXJYXKEBLNG5M","target":"record","payload":{"canonical_record":{"source":{"id":"1604.01124","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-04-05T03:40:50Z","cross_cats_sorted":[],"title_canon_sha256":"60238e002569bd156b0568c1f20f72153e0e6eb7e908d1c5145aaeb1b1dfd716","abstract_canon_sha256":"361ece6291eacb1141e9379021fb27c422d973be4aca9a6c045881b979187ba1"},"schema_version":"1.0"},"canonical_sha256":"4df39dd7b350dd564ae9c5d440ada6eb1abd941f300b64f99192fc41f1421a8f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:12.413448Z","signature_b64":"8iYBUst94PXDZARswhD8PetmRL48IK8hTr7eyoQJQGWJ5Z1HXjAb0fLcLkfBnhaL1TizB+92J2xWX8zqNiSoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4df39dd7b350dd564ae9c5d440ada6eb1abd941f300b64f99192fc41f1421a8f","last_reissued_at":"2026-05-18T01:14:12.412887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:12.412887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.01124","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":"2026-05-18T01:14:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ZccP2ojtE0s4ZRC+pz8x5M2RQgZaWs8EiZIKrfTfEP6Y8X4dK8TvmC0N2hT0KX9O1eRCpeIyLbCb3qLEYTXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:07:11.960084Z"},"content_sha256":"cc95dc68a105ff2b7faffdd2a39f8a59ed0ff54fcf9629d9f3c9aaa7441ddb99","schema_version":"1.0","event_id":"sha256:cc95dc68a105ff2b7faffdd2a39f8a59ed0ff54fcf9629d9f3c9aaa7441ddb99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JXZZ3V5TKDOVMSXJYXKEBLNG5M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derivations of quantizations in characteristic p","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Akaki Tikaradze","submitted_at":"2016-04-05T03:40:50Z","abstract_excerpt":"Let k be an algebraically closed field of odd characteristic. We describe derivations of a large class of quantizations of affine normal Poisson varieties over k."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01124","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":""},"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":"2026-05-18T01:14:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y/iaiaBOLL2qY3Y7XxwQ4cI0vrwjZbpbNViylMgPo6QyF8MJtLrnLuMsDp+pfeI9aNxYFqggQmBLGT+58j9lAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T21:07:11.960428Z"},"content_sha256":"61b730b059e01eaede3266606882162e1032a0a2d6939594e0ca62b31390ccd5","schema_version":"1.0","event_id":"sha256:61b730b059e01eaede3266606882162e1032a0a2d6939594e0ca62b31390ccd5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JXZZ3V5TKDOVMSXJYXKEBLNG5M/bundle.json","state_url":"https://pith.science/pith/JXZZ3V5TKDOVMSXJYXKEBLNG5M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JXZZ3V5TKDOVMSXJYXKEBLNG5M/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":"2026-06-29T21:07:11Z","links":{"resolver":"https://pith.science/pith/JXZZ3V5TKDOVMSXJYXKEBLNG5M","bundle":"https://pith.science/pith/JXZZ3V5TKDOVMSXJYXKEBLNG5M/bundle.json","state":"https://pith.science/pith/JXZZ3V5TKDOVMSXJYXKEBLNG5M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JXZZ3V5TKDOVMSXJYXKEBLNG5M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JXZZ3V5TKDOVMSXJYXKEBLNG5M","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":"361ece6291eacb1141e9379021fb27c422d973be4aca9a6c045881b979187ba1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-04-05T03:40:50Z","title_canon_sha256":"60238e002569bd156b0568c1f20f72153e0e6eb7e908d1c5145aaeb1b1dfd716"},"schema_version":"1.0","source":{"id":"1604.01124","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.01124","created_at":"2026-05-18T01:14:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.01124v2","created_at":"2026-05-18T01:14:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.01124","created_at":"2026-05-18T01:14:12Z"},{"alias_kind":"pith_short_12","alias_value":"JXZZ3V5TKDOV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JXZZ3V5TKDOVMSXJ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JXZZ3V5T","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:61b730b059e01eaede3266606882162e1032a0a2d6939594e0ca62b31390ccd5","target":"graph","created_at":"2026-05-18T01:14:12Z","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 k be an algebraically closed field of odd characteristic. We describe derivations of a large class of quantizations of affine normal Poisson varieties over k.","authors_text":"Akaki Tikaradze","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-04-05T03:40:50Z","title":"Derivations of quantizations in characteristic p"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.01124","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:cc95dc68a105ff2b7faffdd2a39f8a59ed0ff54fcf9629d9f3c9aaa7441ddb99","target":"record","created_at":"2026-05-18T01:14:12Z","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":"361ece6291eacb1141e9379021fb27c422d973be4aca9a6c045881b979187ba1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-04-05T03:40:50Z","title_canon_sha256":"60238e002569bd156b0568c1f20f72153e0e6eb7e908d1c5145aaeb1b1dfd716"},"schema_version":"1.0","source":{"id":"1604.01124","kind":"arxiv","version":2}},"canonical_sha256":"4df39dd7b350dd564ae9c5d440ada6eb1abd941f300b64f99192fc41f1421a8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4df39dd7b350dd564ae9c5d440ada6eb1abd941f300b64f99192fc41f1421a8f","first_computed_at":"2026-05-18T01:14:12.412887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:12.412887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8iYBUst94PXDZARswhD8PetmRL48IK8hTr7eyoQJQGWJ5Z1HXjAb0fLcLkfBnhaL1TizB+92J2xWX8zqNiSoAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:12.413448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.01124","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc95dc68a105ff2b7faffdd2a39f8a59ed0ff54fcf9629d9f3c9aaa7441ddb99","sha256:61b730b059e01eaede3266606882162e1032a0a2d6939594e0ca62b31390ccd5"],"state_sha256":"1701e3e60301497c36aa97b1d7c910827802078d9befa0ccd1b10b8a82b7b2e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LBcaOXNv7cxi8C4DMXeqsuaZH3inPbaEnTSiRB9LBOEF+SOsNd1mza/lJD/XsjGz/GDgitsFt/Fedcbv/V1fDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T21:07:11.962259Z","bundle_sha256":"d5e1bfee26c5a3edd3110fa36fac2b0782fdcceefc3c4a32615ad579ebfd3b6d"}}