{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RQYFUNMTXN4ZP5BKOGBA5BDANT","short_pith_number":"pith:RQYFUNMT","canonical_record":{"source":{"id":"1406.2517","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-06-10T11:49:37Z","cross_cats_sorted":[],"title_canon_sha256":"9f0cd8f4576b2f303cacd9ba1b035a3019db9e3f51546505c2fb18361a967170","abstract_canon_sha256":"b60d63715aabc2ef632a88434fc2d4e3192ee5f5a5b8367522722a4f8cc89b1a"},"schema_version":"1.0"},"canonical_sha256":"8c305a3593bb7997f42a71820e84606ce0c7090de526753ffa3858bea284f9ad","source":{"kind":"arxiv","id":"1406.2517","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2517","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2517v1","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2517","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"pith_short_12","alias_value":"RQYFUNMTXN4Z","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RQYFUNMTXN4ZP5BK","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RQYFUNMT","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RQYFUNMTXN4ZP5BKOGBA5BDANT","target":"record","payload":{"canonical_record":{"source":{"id":"1406.2517","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-06-10T11:49:37Z","cross_cats_sorted":[],"title_canon_sha256":"9f0cd8f4576b2f303cacd9ba1b035a3019db9e3f51546505c2fb18361a967170","abstract_canon_sha256":"b60d63715aabc2ef632a88434fc2d4e3192ee5f5a5b8367522722a4f8cc89b1a"},"schema_version":"1.0"},"canonical_sha256":"8c305a3593bb7997f42a71820e84606ce0c7090de526753ffa3858bea284f9ad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:22.098222Z","signature_b64":"/wItwn+chwkFDFc4TwBN6cCphba3mto5+K6RVUIN98PKj1TS4i04MV7McllAwtOLRmCr8LDLt38H6cBH3MQQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c305a3593bb7997f42a71820e84606ce0c7090de526753ffa3858bea284f9ad","last_reissued_at":"2026-05-18T01:22:22.097673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:22.097673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.2517","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:22:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u5PDryATIoxpc7Rf3w4dvoZkXCCrrhKg3XbK8xQj6dCX0Mst6RStQsrYyEIXo0mXNFV6fx+eNch+vdM3X+ntAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:36:52.493324Z"},"content_sha256":"0ae9c12c6753c04d4450398e3244ed7b12cedade0733960f617c26ae036e2938","schema_version":"1.0","event_id":"sha256:0ae9c12c6753c04d4450398e3244ed7b12cedade0733960f617c26ae036e2938"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RQYFUNMTXN4ZP5BKOGBA5BDANT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complex geometry of quantum cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Tomasz Brzezi\\'nski","submitted_at":"2014-06-10T11:49:37Z","abstract_excerpt":"The algebras obtained as fixed points of the action of the cyclic group $Z_N$ on the coordinate algebra of the quantum disc are studied. These can be understood as coordinate algebras of quantum or non-commutative cones. The following observations are made. First, contrary to the classical situation, the actions of $Z_N$ are free and the resulting algebras are homologically smooth. Second, the quantum cone algebras admit differential calculi that have all the characteristics of calculi on smooth complex curves. Third, the corresponding volume forms are exact, indicating that the constructed al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2517","kind":"arxiv","version":1},"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":"2026-05-18T01:22:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6pMwItYSGIrt5jmS4QLoMJd4MJJ2hVcYxssleMOYVcltO4stUcbdDUrSVB9kH9D6xdsRIlFl69Z3i8nUAf8eBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:36:52.493990Z"},"content_sha256":"149a823ab5762bda622ba51b6270652bf5027124b1758e4b3c9118a1a37bfa2f","schema_version":"1.0","event_id":"sha256:149a823ab5762bda622ba51b6270652bf5027124b1758e4b3c9118a1a37bfa2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQYFUNMTXN4ZP5BKOGBA5BDANT/bundle.json","state_url":"https://pith.science/pith/RQYFUNMTXN4ZP5BKOGBA5BDANT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQYFUNMTXN4ZP5BKOGBA5BDANT/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":"2026-06-12T00:36:52Z","links":{"resolver":"https://pith.science/pith/RQYFUNMTXN4ZP5BKOGBA5BDANT","bundle":"https://pith.science/pith/RQYFUNMTXN4ZP5BKOGBA5BDANT/bundle.json","state":"https://pith.science/pith/RQYFUNMTXN4ZP5BKOGBA5BDANT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQYFUNMTXN4ZP5BKOGBA5BDANT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RQYFUNMTXN4ZP5BKOGBA5BDANT","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":"b60d63715aabc2ef632a88434fc2d4e3192ee5f5a5b8367522722a4f8cc89b1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-06-10T11:49:37Z","title_canon_sha256":"9f0cd8f4576b2f303cacd9ba1b035a3019db9e3f51546505c2fb18361a967170"},"schema_version":"1.0","source":{"id":"1406.2517","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2517","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2517v1","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2517","created_at":"2026-05-18T01:22:22Z"},{"alias_kind":"pith_short_12","alias_value":"RQYFUNMTXN4Z","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RQYFUNMTXN4ZP5BK","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RQYFUNMT","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:149a823ab5762bda622ba51b6270652bf5027124b1758e4b3c9118a1a37bfa2f","target":"graph","created_at":"2026-05-18T01:22:22Z","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":"The algebras obtained as fixed points of the action of the cyclic group $Z_N$ on the coordinate algebra of the quantum disc are studied. These can be understood as coordinate algebras of quantum or non-commutative cones. The following observations are made. First, contrary to the classical situation, the actions of $Z_N$ are free and the resulting algebras are homologically smooth. Second, the quantum cone algebras admit differential calculi that have all the characteristics of calculi on smooth complex curves. Third, the corresponding volume forms are exact, indicating that the constructed al","authors_text":"Tomasz Brzezi\\'nski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-06-10T11:49:37Z","title":"Complex geometry of quantum cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2517","kind":"arxiv","version":1},"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":"sha256:0ae9c12c6753c04d4450398e3244ed7b12cedade0733960f617c26ae036e2938","target":"record","created_at":"2026-05-18T01:22:22Z","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":"b60d63715aabc2ef632a88434fc2d4e3192ee5f5a5b8367522722a4f8cc89b1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-06-10T11:49:37Z","title_canon_sha256":"9f0cd8f4576b2f303cacd9ba1b035a3019db9e3f51546505c2fb18361a967170"},"schema_version":"1.0","source":{"id":"1406.2517","kind":"arxiv","version":1}},"canonical_sha256":"8c305a3593bb7997f42a71820e84606ce0c7090de526753ffa3858bea284f9ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c305a3593bb7997f42a71820e84606ce0c7090de526753ffa3858bea284f9ad","first_computed_at":"2026-05-18T01:22:22.097673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:22.097673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/wItwn+chwkFDFc4TwBN6cCphba3mto5+K6RVUIN98PKj1TS4i04MV7McllAwtOLRmCr8LDLt38H6cBH3MQQBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:22.098222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2517","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ae9c12c6753c04d4450398e3244ed7b12cedade0733960f617c26ae036e2938","sha256:149a823ab5762bda622ba51b6270652bf5027124b1758e4b3c9118a1a37bfa2f"],"state_sha256":"3ea1fc48da1f475e18bbb0026a645c0c36157ba54ca0dba28df36b216c88eaaa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mz52/VVZ28medy+WYHZQ1X0z9wx1KpSUawy8Eg7DEDU6KwzAqlKW/k06vo2qqJpzy2E/pGiY12wXZb9yLUL1BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:36:52.497264Z","bundle_sha256":"91189b75c4af33b055b589c5c5aa4912c86090d9018e6c503bb9b496e475f54e"}}