{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DR2RNVRU7AYJEALKQPPQAVKKK4","short_pith_number":"pith:DR2RNVRU","canonical_record":{"source":{"id":"1605.01659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-05T17:26:44Z","cross_cats_sorted":[],"title_canon_sha256":"05b7bd156c99002626d8fa854885f0ed02e93418f2e3cb166f193ba2c7b74f86","abstract_canon_sha256":"2abf47e0fbad74ee1fc8e4cf9689ae19fbc8c7e023dd085172de5daa97245d71"},"schema_version":"1.0"},"canonical_sha256":"1c7516d634f83092016a83df00554a5731eddda6dba74bba1ed678c49dfed7f1","source":{"kind":"arxiv","id":"1605.01659","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01659","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01659v1","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01659","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"pith_short_12","alias_value":"DR2RNVRU7AYJ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DR2RNVRU7AYJEALK","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DR2RNVRU","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DR2RNVRU7AYJEALKQPPQAVKKK4","target":"record","payload":{"canonical_record":{"source":{"id":"1605.01659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-05T17:26:44Z","cross_cats_sorted":[],"title_canon_sha256":"05b7bd156c99002626d8fa854885f0ed02e93418f2e3cb166f193ba2c7b74f86","abstract_canon_sha256":"2abf47e0fbad74ee1fc8e4cf9689ae19fbc8c7e023dd085172de5daa97245d71"},"schema_version":"1.0"},"canonical_sha256":"1c7516d634f83092016a83df00554a5731eddda6dba74bba1ed678c49dfed7f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:33.044919Z","signature_b64":"R7luQMX4TnrDjO1ClZcSGi3OLUbzbIADkZK4dxHmOE9tsvOQb4POORwtk3KfmbjvwcivDrdcnVW5b0XjA9mCAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c7516d634f83092016a83df00554a5731eddda6dba74bba1ed678c49dfed7f1","last_reissued_at":"2026-05-18T01:15:33.044293Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:33.044293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.01659","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":"2026-05-18T01:15:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LIl5B3inbCHNNJGH3+OHNG7FiUPcXxF+29XvxW8sWgvLC5gJGWA9YJ06EDIpEyXM0tQQZIuyjKHzaDsNFNrMCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:10:40.004459Z"},"content_sha256":"7d2b66d70132830b4767ed751ae4eedf1838dfbcbfb2c99ecddc74b129fd38e1","schema_version":"1.0","event_id":"sha256:7d2b66d70132830b4767ed751ae4eedf1838dfbcbfb2c99ecddc74b129fd38e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DR2RNVRU7AYJEALKQPPQAVKKK4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Gravity and a Time Operator in Relativistic Quantum Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Bauer","submitted_at":"2016-05-05T17:26:44Z","abstract_excerpt":"The problem of time in the quantization of gravity arises from the fact that time in Schroedinger's equation is a parameter. This sets time apart from the spatial coordinates, represented by operators in quantum mechanics (QM). Thus \"time\" in QM and \"time\" in General Relativity (GR) are seen as mutually incompatible notions. The introduction of a dy- namical time operator in relativistic quantum mechanics (RQM), that in the Heisenberg representation is also a function of the parameter t (iden- tifed as the laboratory time), prompts to examine whether it can help to solve the disfunction referr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01659","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":"2026-05-18T01:15:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bq+re7ceduyKT8fo4kq37VzY7rpu+rMahNhMihqxz2xSLo/XEic86ThRObYlO81kUxklnlXpsCjsrJ2Aqo6pAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:10:40.004869Z"},"content_sha256":"80156bce421f15692a86af5b742f3d1f773505c49396d8080e2f7e42329128c1","schema_version":"1.0","event_id":"sha256:80156bce421f15692a86af5b742f3d1f773505c49396d8080e2f7e42329128c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DR2RNVRU7AYJEALKQPPQAVKKK4/bundle.json","state_url":"https://pith.science/pith/DR2RNVRU7AYJEALKQPPQAVKKK4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DR2RNVRU7AYJEALKQPPQAVKKK4/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":"2026-05-30T06:10:40Z","links":{"resolver":"https://pith.science/pith/DR2RNVRU7AYJEALKQPPQAVKKK4","bundle":"https://pith.science/pith/DR2RNVRU7AYJEALKQPPQAVKKK4/bundle.json","state":"https://pith.science/pith/DR2RNVRU7AYJEALKQPPQAVKKK4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DR2RNVRU7AYJEALKQPPQAVKKK4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DR2RNVRU7AYJEALKQPPQAVKKK4","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":"2abf47e0fbad74ee1fc8e4cf9689ae19fbc8c7e023dd085172de5daa97245d71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-05T17:26:44Z","title_canon_sha256":"05b7bd156c99002626d8fa854885f0ed02e93418f2e3cb166f193ba2c7b74f86"},"schema_version":"1.0","source":{"id":"1605.01659","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01659","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01659v1","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01659","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"pith_short_12","alias_value":"DR2RNVRU7AYJ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DR2RNVRU7AYJEALK","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DR2RNVRU","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:80156bce421f15692a86af5b742f3d1f773505c49396d8080e2f7e42329128c1","target":"graph","created_at":"2026-05-18T01:15:33Z","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 problem of time in the quantization of gravity arises from the fact that time in Schroedinger's equation is a parameter. This sets time apart from the spatial coordinates, represented by operators in quantum mechanics (QM). Thus \"time\" in QM and \"time\" in General Relativity (GR) are seen as mutually incompatible notions. The introduction of a dy- namical time operator in relativistic quantum mechanics (RQM), that in the Heisenberg representation is also a function of the parameter t (iden- tifed as the laboratory time), prompts to examine whether it can help to solve the disfunction referr","authors_text":"M. Bauer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-05T17:26:44Z","title":"Quantum Gravity and a Time Operator in Relativistic Quantum Mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01659","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":"sha256:7d2b66d70132830b4767ed751ae4eedf1838dfbcbfb2c99ecddc74b129fd38e1","target":"record","created_at":"2026-05-18T01:15:33Z","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":"2abf47e0fbad74ee1fc8e4cf9689ae19fbc8c7e023dd085172de5daa97245d71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-05-05T17:26:44Z","title_canon_sha256":"05b7bd156c99002626d8fa854885f0ed02e93418f2e3cb166f193ba2c7b74f86"},"schema_version":"1.0","source":{"id":"1605.01659","kind":"arxiv","version":1}},"canonical_sha256":"1c7516d634f83092016a83df00554a5731eddda6dba74bba1ed678c49dfed7f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c7516d634f83092016a83df00554a5731eddda6dba74bba1ed678c49dfed7f1","first_computed_at":"2026-05-18T01:15:33.044293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:33.044293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R7luQMX4TnrDjO1ClZcSGi3OLUbzbIADkZK4dxHmOE9tsvOQb4POORwtk3KfmbjvwcivDrdcnVW5b0XjA9mCAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:33.044919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01659","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d2b66d70132830b4767ed751ae4eedf1838dfbcbfb2c99ecddc74b129fd38e1","sha256:80156bce421f15692a86af5b742f3d1f773505c49396d8080e2f7e42329128c1"],"state_sha256":"80c17217ca214b11a71ccbea514ee0c9f5b4eccbc4dba8700368117c64046847"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KzEtGE8aFNlJmDFNpAdDjxwe9AffcdDGr7e7J/oLO6PBWLzf8kOGHI3IrMC1k+qiJWy9klAU62c/IGGRs58mBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:10:40.007463Z","bundle_sha256":"f673656407facc9ff2e284a2a3d0bd6ad51203ce1f363d38b53c0466f3c3e6ba"}}