{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:CLJJEDYOVYNI3P4NXGSA7DBBKF","short_pith_number":"pith:CLJJEDYO","canonical_record":{"source":{"id":"gr-qc/0401093","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-01-21T22:46:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d8cda024bd215ade83d695f037efa9909ff7a306f34ab36d5e0e8c2cac70e9e5","abstract_canon_sha256":"3196749a8fef6e0e568b54ed74110d37b0d64a63b6c4af28dd711800fe457a1a"},"schema_version":"1.0"},"canonical_sha256":"12d2920f0eae1a8dbf8db9a40f8c21514ff2c8b0ccaa43d437ad3e549c80478e","source":{"kind":"arxiv","id":"gr-qc/0401093","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0401093","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0401093v1","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0401093","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"pith_short_12","alias_value":"CLJJEDYOVYNI","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLJJEDYOVYNI3P4N","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLJJEDYO","created_at":"2026-07-04T16:47:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:CLJJEDYOVYNI3P4NXGSA7DBBKF","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0401093","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2004-01-21T22:46:50Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d8cda024bd215ade83d695f037efa9909ff7a306f34ab36d5e0e8c2cac70e9e5","abstract_canon_sha256":"3196749a8fef6e0e568b54ed74110d37b0d64a63b6c4af28dd711800fe457a1a"},"schema_version":"1.0"},"canonical_sha256":"12d2920f0eae1a8dbf8db9a40f8c21514ff2c8b0ccaa43d437ad3e549c80478e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:47:40.771857Z","signature_b64":"7DTK3XlHhkqg3TOugDgjJw2AGj8KXui44w57QH6jeNQWg9Pvu9kpRyi3xGXHvOcIcyB4fd8Qg0avvuk7dadBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12d2920f0eae1a8dbf8db9a40f8c21514ff2c8b0ccaa43d437ad3e549c80478e","last_reissued_at":"2026-07-04T16:47:40.771516Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:47:40.771516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0401093","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":"2026-07-04T16:47:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sUBg4jpH5Rx9ccXtviLdslKzFypeiX19iEUD4sIUy4e7lyBguhGDkdl8oXYm/1AdFOnRGAwbSUkOM+BI87M6Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:21:04.504808Z"},"content_sha256":"5069f8b85da3f0d15af7cca7cd80fed305142c121a9cc563c63f95b37bf003c3","schema_version":"1.0","event_id":"sha256:5069f8b85da3f0d15af7cca7cd80fed305142c121a9cc563c63f95b37bf003c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:CLJJEDYOVYNI3P4NXGSA7DBBKF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Observables in 3-dimensional quantum gravity and topological invariants","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"J.Manuel Garcia-Islas","submitted_at":"2004-01-21T22:46:50Z","abstract_excerpt":"In this paper we report some results on the expectation values of a set of observables introduced for 3-dimensional Riemannian quantum gravity with positive cosmological constant, that is, observables in the Turaev-Viro model. Instead of giving a formal description of the observables, we just formulate the paper by examples. This means that we just show how an idea works with particular cases and give a way to compute 'expectation values' in general by a topological procedure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0401093","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0401093/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":"2026-07-04T16:47:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"or59pQf6lmu2rOO5VlJsyOZivFFELhep5W/9J7VFYiOP/g/Dp9Cm+BWaVMPKCWL6ROLZWXsvo9mlIbllwyXBAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T14:21:04.505165Z"},"content_sha256":"b9277f5d49d31d1c52578e29b12614121c7b8d79362743b7370b15baab4e9712","schema_version":"1.0","event_id":"sha256:b9277f5d49d31d1c52578e29b12614121c7b8d79362743b7370b15baab4e9712"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CLJJEDYOVYNI3P4NXGSA7DBBKF/bundle.json","state_url":"https://pith.science/pith/CLJJEDYOVYNI3P4NXGSA7DBBKF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CLJJEDYOVYNI3P4NXGSA7DBBKF/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":"2026-08-04T14:21:04Z","links":{"resolver":"https://pith.science/pith/CLJJEDYOVYNI3P4NXGSA7DBBKF","bundle":"https://pith.science/pith/CLJJEDYOVYNI3P4NXGSA7DBBKF/bundle.json","state":"https://pith.science/pith/CLJJEDYOVYNI3P4NXGSA7DBBKF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CLJJEDYOVYNI3P4NXGSA7DBBKF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:CLJJEDYOVYNI3P4NXGSA7DBBKF","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":"3196749a8fef6e0e568b54ed74110d37b0d64a63b6c4af28dd711800fe457a1a","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2004-01-21T22:46:50Z","title_canon_sha256":"d8cda024bd215ade83d695f037efa9909ff7a306f34ab36d5e0e8c2cac70e9e5"},"schema_version":"1.0","source":{"id":"gr-qc/0401093","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0401093","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0401093v1","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0401093","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"pith_short_12","alias_value":"CLJJEDYOVYNI","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"pith_short_16","alias_value":"CLJJEDYOVYNI3P4N","created_at":"2026-07-04T16:47:40Z"},{"alias_kind":"pith_short_8","alias_value":"CLJJEDYO","created_at":"2026-07-04T16:47:40Z"}],"graph_snapshots":[{"event_id":"sha256:b9277f5d49d31d1c52578e29b12614121c7b8d79362743b7370b15baab4e9712","target":"graph","created_at":"2026-07-04T16:47:40Z","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/gr-qc/0401093/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we report some results on the expectation values of a set of observables introduced for 3-dimensional Riemannian quantum gravity with positive cosmological constant, that is, observables in the Turaev-Viro model. Instead of giving a formal description of the observables, we just formulate the paper by examples. This means that we just show how an idea works with particular cases and give a way to compute 'expectation values' in general by a topological procedure.","authors_text":"J.Manuel Garcia-Islas","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2004-01-21T22:46:50Z","title":"Observables in 3-dimensional quantum gravity and topological invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0401093","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":"sha256:5069f8b85da3f0d15af7cca7cd80fed305142c121a9cc563c63f95b37bf003c3","target":"record","created_at":"2026-07-04T16:47:40Z","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":"3196749a8fef6e0e568b54ed74110d37b0d64a63b6c4af28dd711800fe457a1a","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2004-01-21T22:46:50Z","title_canon_sha256":"d8cda024bd215ade83d695f037efa9909ff7a306f34ab36d5e0e8c2cac70e9e5"},"schema_version":"1.0","source":{"id":"gr-qc/0401093","kind":"arxiv","version":1}},"canonical_sha256":"12d2920f0eae1a8dbf8db9a40f8c21514ff2c8b0ccaa43d437ad3e549c80478e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12d2920f0eae1a8dbf8db9a40f8c21514ff2c8b0ccaa43d437ad3e549c80478e","first_computed_at":"2026-07-04T16:47:40.771516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:47:40.771516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7DTK3XlHhkqg3TOugDgjJw2AGj8KXui44w57QH6jeNQWg9Pvu9kpRyi3xGXHvOcIcyB4fd8Qg0avvuk7dadBDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:47:40.771857Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0401093","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5069f8b85da3f0d15af7cca7cd80fed305142c121a9cc563c63f95b37bf003c3","sha256:b9277f5d49d31d1c52578e29b12614121c7b8d79362743b7370b15baab4e9712"],"state_sha256":"2c967734a32199a0e7bc1162b3ad55965e22097a51d3752d824497fcba0a353d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7TeYbCtP+9jyrE3vS6N4Di4tUU6VE1R8Ul95rQgEFXp4GMHjIHIKI+hHMN7OoSdrCLLESEgv48AAx0KSWtTfDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T14:21:04.540116Z","bundle_sha256":"fd1a80ed68d41f86e9607bb1eb5fceecb30eba4df8cb69c6bce8be62bf1a6c38"}}