{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:CYM47Q425CRZ6ZWHBC6ZWE47HI","short_pith_number":"pith:CYM47Q42","canonical_record":{"source":{"id":"1207.1477","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-07-05T22:29:47Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"65b18c9599e080043cffb1e8e9d58aa3e18cb11971376b93eec6950b86599370","abstract_canon_sha256":"c093bd0191134a60f08924fd558aec624beca55d83388776852706aaca9bad70"},"schema_version":"1.0"},"canonical_sha256":"1619cfc39ae8a39f66c708bd9b139f3a01b0ec39f83bffdc7a38301837e96153","source":{"kind":"arxiv","id":"1207.1477","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1477","created_at":"2026-05-18T01:10:55Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1477v2","created_at":"2026-05-18T01:10:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1477","created_at":"2026-05-18T01:10:55Z"},{"alias_kind":"pith_short_12","alias_value":"CYM47Q425CRZ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CYM47Q425CRZ6ZWH","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CYM47Q42","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:CYM47Q425CRZ6ZWHBC6ZWE47HI","target":"record","payload":{"canonical_record":{"source":{"id":"1207.1477","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-07-05T22:29:47Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"65b18c9599e080043cffb1e8e9d58aa3e18cb11971376b93eec6950b86599370","abstract_canon_sha256":"c093bd0191134a60f08924fd558aec624beca55d83388776852706aaca9bad70"},"schema_version":"1.0"},"canonical_sha256":"1619cfc39ae8a39f66c708bd9b139f3a01b0ec39f83bffdc7a38301837e96153","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:55.562531Z","signature_b64":"sMBVQdmdPDR1qpizD+zgmO4QhoIZTTAdrqRxaNkyh+7+ZNhrRyBPOvdWE84SeMKisE+g3xv3iX96HPHrm49RBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1619cfc39ae8a39f66c708bd9b139f3a01b0ec39f83bffdc7a38301837e96153","last_reissued_at":"2026-05-18T01:10:55.562088Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:55.562088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.1477","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":"2026-05-18T01:10:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zN0VnKr73ARVePNmdY7cF3U0JIbYhHd/ydTPj9hrW7GRcD7MUaXTKicUGQMAOShjWkFAAl2OPNkNTQn7cKREBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:30:48.556842Z"},"content_sha256":"e8a0b3818d5f53f9a4f997b364ad3b8215ecb32bea71bc43d4d6a676a576bcef","schema_version":"1.0","event_id":"sha256:e8a0b3818d5f53f9a4f997b364ad3b8215ecb32bea71bc43d4d6a676a576bcef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:CYM47Q425CRZ6ZWHBC6ZWE47HI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bohr-Sommerfeld-Heisenberg Quantization of the 2-dimensional Harmonic Oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Jedrzej Sniatycki, Richard Cushman","submitted_at":"2012-07-05T22:29:47Z","abstract_excerpt":"We study geometric quantization of the harmonic oscillator in terms of a singular real polarization given by fibres of the energy momentum map."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1477","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":"2026-05-18T01:10:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fUQowZcQOyl7WWvafxbwObKN8hSGa2qAdAuuFnQMAyfxemfb4H6x2ldvoUmbMpeF9u6t/bC99aBZMdqiGrRkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:30:48.557182Z"},"content_sha256":"952783e3fcce6d6686f5fd05b73dbef59e28e3d5a7a3913135c8070da6fca809","schema_version":"1.0","event_id":"sha256:952783e3fcce6d6686f5fd05b73dbef59e28e3d5a7a3913135c8070da6fca809"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYM47Q425CRZ6ZWHBC6ZWE47HI/bundle.json","state_url":"https://pith.science/pith/CYM47Q425CRZ6ZWHBC6ZWE47HI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYM47Q425CRZ6ZWHBC6ZWE47HI/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":"2026-06-01T22:30:48Z","links":{"resolver":"https://pith.science/pith/CYM47Q425CRZ6ZWHBC6ZWE47HI","bundle":"https://pith.science/pith/CYM47Q425CRZ6ZWHBC6ZWE47HI/bundle.json","state":"https://pith.science/pith/CYM47Q425CRZ6ZWHBC6ZWE47HI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYM47Q425CRZ6ZWHBC6ZWE47HI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CYM47Q425CRZ6ZWHBC6ZWE47HI","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":"c093bd0191134a60f08924fd558aec624beca55d83388776852706aaca9bad70","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-07-05T22:29:47Z","title_canon_sha256":"65b18c9599e080043cffb1e8e9d58aa3e18cb11971376b93eec6950b86599370"},"schema_version":"1.0","source":{"id":"1207.1477","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1477","created_at":"2026-05-18T01:10:55Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1477v2","created_at":"2026-05-18T01:10:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1477","created_at":"2026-05-18T01:10:55Z"},{"alias_kind":"pith_short_12","alias_value":"CYM47Q425CRZ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CYM47Q425CRZ6ZWH","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CYM47Q42","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:952783e3fcce6d6686f5fd05b73dbef59e28e3d5a7a3913135c8070da6fca809","target":"graph","created_at":"2026-05-18T01:10:55Z","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":"We study geometric quantization of the harmonic oscillator in terms of a singular real polarization given by fibres of the energy momentum map.","authors_text":"Jedrzej Sniatycki, Richard Cushman","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-07-05T22:29:47Z","title":"Bohr-Sommerfeld-Heisenberg Quantization of the 2-dimensional Harmonic Oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1477","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:e8a0b3818d5f53f9a4f997b364ad3b8215ecb32bea71bc43d4d6a676a576bcef","target":"record","created_at":"2026-05-18T01:10:55Z","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":"c093bd0191134a60f08924fd558aec624beca55d83388776852706aaca9bad70","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-07-05T22:29:47Z","title_canon_sha256":"65b18c9599e080043cffb1e8e9d58aa3e18cb11971376b93eec6950b86599370"},"schema_version":"1.0","source":{"id":"1207.1477","kind":"arxiv","version":2}},"canonical_sha256":"1619cfc39ae8a39f66c708bd9b139f3a01b0ec39f83bffdc7a38301837e96153","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1619cfc39ae8a39f66c708bd9b139f3a01b0ec39f83bffdc7a38301837e96153","first_computed_at":"2026-05-18T01:10:55.562088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:55.562088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sMBVQdmdPDR1qpizD+zgmO4QhoIZTTAdrqRxaNkyh+7+ZNhrRyBPOvdWE84SeMKisE+g3xv3iX96HPHrm49RBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:55.562531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1477","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8a0b3818d5f53f9a4f997b364ad3b8215ecb32bea71bc43d4d6a676a576bcef","sha256:952783e3fcce6d6686f5fd05b73dbef59e28e3d5a7a3913135c8070da6fca809"],"state_sha256":"1b88b21f8d7163801c671c40ed11d193e30a61d6a9bfc647bb064c2a9895a209"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3924LKIwqp89VSDA/GqydNAh0UcIXV1ZtBKnBV8xSW1WF3aOuTOridGuWgwOSPWSlVnGPIHCc8v2KkscRpchDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:30:48.559164Z","bundle_sha256":"446f42403d47ab7bc0a83362e6ae70bd30de628d2eeeda1eac9438edf928380a"}}