{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:X56TODXFVPV5BAEOK47VKJBOWO","short_pith_number":"pith:X56TODXF","canonical_record":{"source":{"id":"1204.4280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-19T08:28:04Z","cross_cats_sorted":["hep-th","math.MP","physics.hist-ph"],"title_canon_sha256":"b24f051a99dcb25da4a98725f6add519c5f9571fbf4b234252d1c8e460da6847","abstract_canon_sha256":"361d20921932bd93ed61659101bec05f33d355c48951d9beeb13e6e3263e8341"},"schema_version":"1.0"},"canonical_sha256":"bf7d370ee5abebd0808e573f55242eb39387f26753a2674c224c93d8efb5ffc4","source":{"kind":"arxiv","id":"1204.4280","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4280","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4280v1","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4280","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"X56TODXFVPV5","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"X56TODXFVPV5BAEO","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"X56TODXF","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:X56TODXFVPV5BAEOK47VKJBOWO","target":"record","payload":{"canonical_record":{"source":{"id":"1204.4280","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-19T08:28:04Z","cross_cats_sorted":["hep-th","math.MP","physics.hist-ph"],"title_canon_sha256":"b24f051a99dcb25da4a98725f6add519c5f9571fbf4b234252d1c8e460da6847","abstract_canon_sha256":"361d20921932bd93ed61659101bec05f33d355c48951d9beeb13e6e3263e8341"},"schema_version":"1.0"},"canonical_sha256":"bf7d370ee5abebd0808e573f55242eb39387f26753a2674c224c93d8efb5ffc4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:27.962490Z","signature_b64":"3SC/VrcW/b5qlUYdlE5xIO06EaAbRPsVxhfXRoNZCbEvlajMHma3hq4mpI7xMx74vNiiMXMfvUjn4HqnU6DmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf7d370ee5abebd0808e573f55242eb39387f26753a2674c224c93d8efb5ffc4","last_reissued_at":"2026-05-18T03:57:27.961941Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:27.961941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.4280","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":"2026-05-18T03:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dtflx7EdA+i0juoKMHBhOq/OIu/WzDXgqMqurn3cFauKxEy8SdzO/+Yg/5IVlz23cReEqB0mYdv1584UQS2BAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:34:47.963072Z"},"content_sha256":"bfc86ca80b576b15c692a69989b2b98a5870a7961c921ddde39e4759d37cdcfc","schema_version":"1.0","event_id":"sha256:bfc86ca80b576b15c692a69989b2b98a5870a7961c921ddde39e4759d37cdcfc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:X56TODXFVPV5BAEOK47VKJBOWO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crochets de Poisson, theories de jauge et quantification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","physics.hist-ph"],"primary_cat":"math-ph","authors_text":"Catherine Meusburger, Winston J. Fairbairn","submitted_at":"2012-04-19T08:28:04Z","abstract_excerpt":"We present a study of constrained mechanical systems and of their quantisation, emphasising the importance of the role played by Poisson brackets in the study of gauge theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4280","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":"2026-05-18T03:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G/ZtJK9WHIbMTPtgcKDafzYJh2fHPUPqHxsCfJjDxkkg1tthGTqpq95+JIA+Ri0NTah/iJykjilTr8bHlnDxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:34:47.963814Z"},"content_sha256":"ffdd6b335fec1adf850074639cddc850c9a1c66eb38a666a2139b8afce866ae7","schema_version":"1.0","event_id":"sha256:ffdd6b335fec1adf850074639cddc850c9a1c66eb38a666a2139b8afce866ae7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X56TODXFVPV5BAEOK47VKJBOWO/bundle.json","state_url":"https://pith.science/pith/X56TODXFVPV5BAEOK47VKJBOWO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X56TODXFVPV5BAEOK47VKJBOWO/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":"2026-06-09T19:34:47Z","links":{"resolver":"https://pith.science/pith/X56TODXFVPV5BAEOK47VKJBOWO","bundle":"https://pith.science/pith/X56TODXFVPV5BAEOK47VKJBOWO/bundle.json","state":"https://pith.science/pith/X56TODXFVPV5BAEOK47VKJBOWO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X56TODXFVPV5BAEOK47VKJBOWO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:X56TODXFVPV5BAEOK47VKJBOWO","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":"361d20921932bd93ed61659101bec05f33d355c48951d9beeb13e6e3263e8341","cross_cats_sorted":["hep-th","math.MP","physics.hist-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-19T08:28:04Z","title_canon_sha256":"b24f051a99dcb25da4a98725f6add519c5f9571fbf4b234252d1c8e460da6847"},"schema_version":"1.0","source":{"id":"1204.4280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.4280","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"1204.4280v1","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.4280","created_at":"2026-05-18T03:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"X56TODXFVPV5","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"X56TODXFVPV5BAEO","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"X56TODXF","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:ffdd6b335fec1adf850074639cddc850c9a1c66eb38a666a2139b8afce866ae7","target":"graph","created_at":"2026-05-18T03:57:27Z","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 present a study of constrained mechanical systems and of their quantisation, emphasising the importance of the role played by Poisson brackets in the study of gauge theories.","authors_text":"Catherine Meusburger, Winston J. Fairbairn","cross_cats":["hep-th","math.MP","physics.hist-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-19T08:28:04Z","title":"Crochets de Poisson, theories de jauge et quantification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4280","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:bfc86ca80b576b15c692a69989b2b98a5870a7961c921ddde39e4759d37cdcfc","target":"record","created_at":"2026-05-18T03:57:27Z","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":"361d20921932bd93ed61659101bec05f33d355c48951d9beeb13e6e3263e8341","cross_cats_sorted":["hep-th","math.MP","physics.hist-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-19T08:28:04Z","title_canon_sha256":"b24f051a99dcb25da4a98725f6add519c5f9571fbf4b234252d1c8e460da6847"},"schema_version":"1.0","source":{"id":"1204.4280","kind":"arxiv","version":1}},"canonical_sha256":"bf7d370ee5abebd0808e573f55242eb39387f26753a2674c224c93d8efb5ffc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf7d370ee5abebd0808e573f55242eb39387f26753a2674c224c93d8efb5ffc4","first_computed_at":"2026-05-18T03:57:27.961941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:27.961941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3SC/VrcW/b5qlUYdlE5xIO06EaAbRPsVxhfXRoNZCbEvlajMHma3hq4mpI7xMx74vNiiMXMfvUjn4HqnU6DmDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:27.962490Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.4280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfc86ca80b576b15c692a69989b2b98a5870a7961c921ddde39e4759d37cdcfc","sha256:ffdd6b335fec1adf850074639cddc850c9a1c66eb38a666a2139b8afce866ae7"],"state_sha256":"b0659e0ffa4e09baac15e021f2cde39d9e67848d673b63bc720f16417fbeaeca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e5ELLQ08Q+9Z6kLAxdmQhIr9Q3awPj+BzANYUX/GlEQgKZozi/pbEazm4eq9YzQBtpioubKt6CnOhzLKyuZHCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:34:47.966936Z","bundle_sha256":"f7ac4e3b816182e23a199fcdf597badc316aceb03cfda185c23f40a03b19e30c"}}