{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:7JPPJDG2DBRLWH5XJQEGFYR4QM","short_pith_number":"pith:7JPPJDG2","canonical_record":{"source":{"id":"1906.04792","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-06-11T19:51:16Z","cross_cats_sorted":["gr-qc","math.MP"],"title_canon_sha256":"bacf2abe4f817ba6281f8a1e78122af0a678a3988f5a4eb3fbabe0bd3b06f467","abstract_canon_sha256":"568d1fb58f3cef963b1e7529351df910f8549e23a4ff9420f97cfc8b7b0fc3ae"},"schema_version":"1.0"},"canonical_sha256":"fa5ef48cda1862bb1fb74c0862e23c83333788560e2cf738715483c0bd6210a7","source":{"kind":"arxiv","id":"1906.04792","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04792","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04792v2","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04792","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"7JPPJDG2DBRL","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_16","alias_value":"7JPPJDG2DBRLWH5X","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_8","alias_value":"7JPPJDG2","created_at":"2026-07-05T02:24:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:7JPPJDG2DBRLWH5XJQEGFYR4QM","target":"record","payload":{"canonical_record":{"source":{"id":"1906.04792","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-06-11T19:51:16Z","cross_cats_sorted":["gr-qc","math.MP"],"title_canon_sha256":"bacf2abe4f817ba6281f8a1e78122af0a678a3988f5a4eb3fbabe0bd3b06f467","abstract_canon_sha256":"568d1fb58f3cef963b1e7529351df910f8549e23a4ff9420f97cfc8b7b0fc3ae"},"schema_version":"1.0"},"canonical_sha256":"fa5ef48cda1862bb1fb74c0862e23c83333788560e2cf738715483c0bd6210a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:24:08.446108Z","signature_b64":"y8o3Zb89n7KLZUm5bHREhtmHC3pHmgjhcx01f5gGmlxB3tg9WvSwJRkCXxqjdTx7Zk1KkaVcS5C2roVRLcRkCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa5ef48cda1862bb1fb74c0862e23c83333788560e2cf738715483c0bd6210a7","last_reissued_at":"2026-07-05T02:24:08.445662Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:24:08.445662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.04792","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":"2026-07-05T02:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/DW4WxqTpJ0DkdEFvnOBIY40saWrXT3sTifQJHmrMFOcFfd3DyqmZrhG9pFnoDuMU/ER0nhabwx4rsmpUv2YDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T06:53:47.424920Z"},"content_sha256":"31ad051f3964e8bce3aac2d15468820025f012d750844be41ae7d0f0a7221f50","schema_version":"1.0","event_id":"sha256:31ad051f3964e8bce3aac2d15468820025f012d750844be41ae7d0f0a7221f50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:7JPPJDG2DBRLWH5XJQEGFYR4QM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantization of dynamical symplectic reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.MP"],"primary_cat":"math-ph","authors_text":"Artur Tsobanjan, Martin Bojowald","submitted_at":"2019-06-11T19:51:16Z","abstract_excerpt":"A long-standing problem in quantum gravity and cosmology is the quantization of systems in which time evolution is generated by a constraint that must vanish on solutions. Here, an algebraic formulation of this problem is presented, together with new structures and results, which show that specific conditions need to be satisfied in order for well-defined evolution to be possible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04792","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1906.04792/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qKeaVNFqtYDKSLOq+2/N+2I8yRCkeVVTxKheRlVzknuElEqJDbW3udYBxXyIIWYDefTHX4ja0Gb/NCebSkMdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T06:53:47.425438Z"},"content_sha256":"721369ce0dab83501c9307aa1dac349a24378dd7170295acdf864325e2c405a2","schema_version":"1.0","event_id":"sha256:721369ce0dab83501c9307aa1dac349a24378dd7170295acdf864325e2c405a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JPPJDG2DBRLWH5XJQEGFYR4QM/bundle.json","state_url":"https://pith.science/pith/7JPPJDG2DBRLWH5XJQEGFYR4QM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JPPJDG2DBRLWH5XJQEGFYR4QM/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":"2026-08-02T06:53:47Z","links":{"resolver":"https://pith.science/pith/7JPPJDG2DBRLWH5XJQEGFYR4QM","bundle":"https://pith.science/pith/7JPPJDG2DBRLWH5XJQEGFYR4QM/bundle.json","state":"https://pith.science/pith/7JPPJDG2DBRLWH5XJQEGFYR4QM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JPPJDG2DBRLWH5XJQEGFYR4QM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7JPPJDG2DBRLWH5XJQEGFYR4QM","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":"568d1fb58f3cef963b1e7529351df910f8549e23a4ff9420f97cfc8b7b0fc3ae","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-06-11T19:51:16Z","title_canon_sha256":"bacf2abe4f817ba6281f8a1e78122af0a678a3988f5a4eb3fbabe0bd3b06f467"},"schema_version":"1.0","source":{"id":"1906.04792","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.04792","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"1906.04792v2","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.04792","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"7JPPJDG2DBRL","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_16","alias_value":"7JPPJDG2DBRLWH5X","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_8","alias_value":"7JPPJDG2","created_at":"2026-07-05T02:24:08Z"}],"graph_snapshots":[{"event_id":"sha256:721369ce0dab83501c9307aa1dac349a24378dd7170295acdf864325e2c405a2","target":"graph","created_at":"2026-07-05T02:24:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1906.04792/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A long-standing problem in quantum gravity and cosmology is the quantization of systems in which time evolution is generated by a constraint that must vanish on solutions. Here, an algebraic formulation of this problem is presented, together with new structures and results, which show that specific conditions need to be satisfied in order for well-defined evolution to be possible.","authors_text":"Artur Tsobanjan, Martin Bojowald","cross_cats":["gr-qc","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-06-11T19:51:16Z","title":"Quantization of dynamical symplectic reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.04792","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":"sha256:31ad051f3964e8bce3aac2d15468820025f012d750844be41ae7d0f0a7221f50","target":"record","created_at":"2026-07-05T02:24:08Z","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":"568d1fb58f3cef963b1e7529351df910f8549e23a4ff9420f97cfc8b7b0fc3ae","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2019-06-11T19:51:16Z","title_canon_sha256":"bacf2abe4f817ba6281f8a1e78122af0a678a3988f5a4eb3fbabe0bd3b06f467"},"schema_version":"1.0","source":{"id":"1906.04792","kind":"arxiv","version":2}},"canonical_sha256":"fa5ef48cda1862bb1fb74c0862e23c83333788560e2cf738715483c0bd6210a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa5ef48cda1862bb1fb74c0862e23c83333788560e2cf738715483c0bd6210a7","first_computed_at":"2026-07-05T02:24:08.445662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:24:08.445662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y8o3Zb89n7KLZUm5bHREhtmHC3pHmgjhcx01f5gGmlxB3tg9WvSwJRkCXxqjdTx7Zk1KkaVcS5C2roVRLcRkCA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:24:08.446108Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.04792","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31ad051f3964e8bce3aac2d15468820025f012d750844be41ae7d0f0a7221f50","sha256:721369ce0dab83501c9307aa1dac349a24378dd7170295acdf864325e2c405a2"],"state_sha256":"b69c61a9b0c7a41fa689475827d7cc4b04a19570779a05df0f617038b40e27ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hUADS2hz8GoAjZRM8fN0zaNy4A6hx3o+MtSf9PyWL8Z0ALz6017TX43g0tRrvYpgCBaWtOi4dg0Dz6vMcqCdBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T06:53:47.430781Z","bundle_sha256":"2d6c0f488d9467fafec571bfa106c360b5b5f7a815ac45440728a749dcbc744a"}}