{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:KC7LTBXK5ZS7NKVQQZ6BVG2SVA","short_pith_number":"pith:KC7LTBXK","canonical_record":{"source":{"id":"math/9903016","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"1999-03-02T12:28:45Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"0bc84e62dc6093ae7a2ff73076a1b9f3718ea864f93c3d0ccfb8e7fc5b803742","abstract_canon_sha256":"cad591c3fcad0635c02f2d054b469606deee8b4a03494ceb8b7e2e50b07cd6dd"},"schema_version":"1.0"},"canonical_sha256":"50beb986eaee65f6aab0867c1a9b52a81b825d619135304b2681cb8784fcc757","source":{"kind":"arxiv","id":"math/9903016","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9903016","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"math/9903016v1","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9903016","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"KC7LTBXK5ZS7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"KC7LTBXK5ZS7NKVQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"KC7LTBXK","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:KC7LTBXK5ZS7NKVQQZ6BVG2SVA","target":"record","payload":{"canonical_record":{"source":{"id":"math/9903016","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"1999-03-02T12:28:45Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"0bc84e62dc6093ae7a2ff73076a1b9f3718ea864f93c3d0ccfb8e7fc5b803742","abstract_canon_sha256":"cad591c3fcad0635c02f2d054b469606deee8b4a03494ceb8b7e2e50b07cd6dd"},"schema_version":"1.0"},"canonical_sha256":"50beb986eaee65f6aab0867c1a9b52a81b825d619135304b2681cb8784fcc757","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:22.628113Z","signature_b64":"a2mXYH2KEoEDHBCx8yZf5Vu/Qw8GGE2JViRC+zDUiKssjeZa0jaVm2ffps9V5MA7JEPdZCXLUjJ9vFwLeD6jCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50beb986eaee65f6aab0867c1a9b52a81b825d619135304b2681cb8784fcc757","last_reissued_at":"2026-05-18T01:38:22.627288Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:22.627288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9903016","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":"2026-05-18T01:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wJeI4GS2WyTkvoMV7v+70vBvjiDcTc2ZofWYbPSbdkB+EWCmRPVZlsx1oNEq7EQLB6HC6Ceux8NYwGAc96tGCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T17:41:03.788673Z"},"content_sha256":"2e156f03aaf7fb61b49ab3775119134baebdb2a621120cd92f229192c4b3632e","schema_version":"1.0","event_id":"sha256:2e156f03aaf7fb61b49ab3775119134baebdb2a621120cd92f229192c4b3632e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:KC7LTBXK5ZS7NKVQQZ6BVG2SVA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symplectic Geometry on Quantum Plane","license":"","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"math.QA","authors_text":"Sergio Albeverio, Shao-Ming Fei","submitted_at":"1999-03-02T12:28:45Z","abstract_excerpt":"A study of symplectic forms associated with two dimensional quantum planes and the quantum sphere in a three dimensional orthogonal quantum plane is provided. The associated Hamiltonian vector fields and Poissonian algebraic relations are made explicit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9903016","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":"2026-05-18T01:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oDHBbNhTXTjNjEMJs5H/O/EU6BGvQzK4KrnI8HkSBUZqbQsr37BW3eJWL9rGO0vGYfYG6bjdawR5/QVCXPMxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T17:41:03.789386Z"},"content_sha256":"7fcfce5b3ebfa89acc5f2a2d75b3e6c731bfe6a17a724a279f08f73d81434721","schema_version":"1.0","event_id":"sha256:7fcfce5b3ebfa89acc5f2a2d75b3e6c731bfe6a17a724a279f08f73d81434721"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KC7LTBXK5ZS7NKVQQZ6BVG2SVA/bundle.json","state_url":"https://pith.science/pith/KC7LTBXK5ZS7NKVQQZ6BVG2SVA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KC7LTBXK5ZS7NKVQQZ6BVG2SVA/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":"2026-06-11T17:41:03Z","links":{"resolver":"https://pith.science/pith/KC7LTBXK5ZS7NKVQQZ6BVG2SVA","bundle":"https://pith.science/pith/KC7LTBXK5ZS7NKVQQZ6BVG2SVA/bundle.json","state":"https://pith.science/pith/KC7LTBXK5ZS7NKVQQZ6BVG2SVA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KC7LTBXK5ZS7NKVQQZ6BVG2SVA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:KC7LTBXK5ZS7NKVQQZ6BVG2SVA","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":"cad591c3fcad0635c02f2d054b469606deee8b4a03494ceb8b7e2e50b07cd6dd","cross_cats_sorted":["hep-th","quant-ph"],"license":"","primary_cat":"math.QA","submitted_at":"1999-03-02T12:28:45Z","title_canon_sha256":"0bc84e62dc6093ae7a2ff73076a1b9f3718ea864f93c3d0ccfb8e7fc5b803742"},"schema_version":"1.0","source":{"id":"math/9903016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9903016","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"math/9903016v1","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9903016","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"KC7LTBXK5ZS7","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"KC7LTBXK5ZS7NKVQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"KC7LTBXK","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:7fcfce5b3ebfa89acc5f2a2d75b3e6c731bfe6a17a724a279f08f73d81434721","target":"graph","created_at":"2026-05-18T01:38:22Z","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":"A study of symplectic forms associated with two dimensional quantum planes and the quantum sphere in a three dimensional orthogonal quantum plane is provided. The associated Hamiltonian vector fields and Poissonian algebraic relations are made explicit.","authors_text":"Sergio Albeverio, Shao-Ming Fei","cross_cats":["hep-th","quant-ph"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"1999-03-02T12:28:45Z","title":"Symplectic Geometry on Quantum Plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9903016","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":"sha256:2e156f03aaf7fb61b49ab3775119134baebdb2a621120cd92f229192c4b3632e","target":"record","created_at":"2026-05-18T01:38:22Z","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":"cad591c3fcad0635c02f2d054b469606deee8b4a03494ceb8b7e2e50b07cd6dd","cross_cats_sorted":["hep-th","quant-ph"],"license":"","primary_cat":"math.QA","submitted_at":"1999-03-02T12:28:45Z","title_canon_sha256":"0bc84e62dc6093ae7a2ff73076a1b9f3718ea864f93c3d0ccfb8e7fc5b803742"},"schema_version":"1.0","source":{"id":"math/9903016","kind":"arxiv","version":1}},"canonical_sha256":"50beb986eaee65f6aab0867c1a9b52a81b825d619135304b2681cb8784fcc757","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50beb986eaee65f6aab0867c1a9b52a81b825d619135304b2681cb8784fcc757","first_computed_at":"2026-05-18T01:38:22.627288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:22.627288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a2mXYH2KEoEDHBCx8yZf5Vu/Qw8GGE2JViRC+zDUiKssjeZa0jaVm2ffps9V5MA7JEPdZCXLUjJ9vFwLeD6jCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:22.628113Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9903016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e156f03aaf7fb61b49ab3775119134baebdb2a621120cd92f229192c4b3632e","sha256:7fcfce5b3ebfa89acc5f2a2d75b3e6c731bfe6a17a724a279f08f73d81434721"],"state_sha256":"877c4d33d9ff51bb92b0f19d8ae20195676d5f0df3810e54897d32b172f0a3c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4KTxGs9j5ht+GmqFsa62qQryVC4BIu9Gzh0mUNdRWO/sg1tFUwRtveMznl6/v25iaFo7ssDGOx4+h0xcDaDGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T17:41:03.793480Z","bundle_sha256":"f6707cb54aa8598fe27e0caa7b428726a5d37a855bf0c0eb5210c6dd91a4c34e"}}