{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:6XAFB6XNUNMZ4E3SL2USKLQ4ZT","short_pith_number":"pith:6XAFB6XN","canonical_record":{"source":{"id":"0709.2988","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-09-19T10:47:46Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"d9ced6896ba44ede15e9f977e6cec362c996772c50f8fcd0821474f924213d10","abstract_canon_sha256":"52b6ed40d2f432b812feabbfe8d49c3a287b707a40d6c239405ff48726c62b15"},"schema_version":"1.0"},"canonical_sha256":"f5c050faeda3599e13725ea9252e1cccc014603566753f5f9b18e3d28ebbd8b3","source":{"kind":"arxiv","id":"0709.2988","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.2988","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"arxiv_version","alias_value":"0709.2988v2","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.2988","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"pith_short_12","alias_value":"6XAFB6XNUNMZ","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"pith_short_16","alias_value":"6XAFB6XNUNMZ4E3S","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"pith_short_8","alias_value":"6XAFB6XN","created_at":"2026-07-04T15:24:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:6XAFB6XNUNMZ4E3SL2USKLQ4ZT","target":"record","payload":{"canonical_record":{"source":{"id":"0709.2988","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-09-19T10:47:46Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"d9ced6896ba44ede15e9f977e6cec362c996772c50f8fcd0821474f924213d10","abstract_canon_sha256":"52b6ed40d2f432b812feabbfe8d49c3a287b707a40d6c239405ff48726c62b15"},"schema_version":"1.0"},"canonical_sha256":"f5c050faeda3599e13725ea9252e1cccc014603566753f5f9b18e3d28ebbd8b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:24:41.648246Z","signature_b64":"dC6Jqo0hF6QVU4JMpXtBU0zCX3rBClWrFx3F5P6RH+VkDPczk9zNMtxp0VlW16Jvxo2/gyrINFMAkGBfkIQnDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5c050faeda3599e13725ea9252e1cccc014603566753f5f9b18e3d28ebbd8b3","last_reissued_at":"2026-07-04T15:24:41.647783Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:24:41.647783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0709.2988","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":"2026-07-04T15:24:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0F/ohWS94D+lfbWqIXVNPafsHbEBtgwi/1cZ7hZo8AoUq9qVLOeDAlwrDZwrL6Cv7ZRKnuEapU07v6nMdyIqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:17:28.921683Z"},"content_sha256":"9616cd327f30829834ec67fd60ef4afe303da410767dcbcadc960110429d3ecf","schema_version":"1.0","event_id":"sha256:9616cd327f30829834ec67fd60ef4afe303da410767dcbcadc960110429d3ecf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:6XAFB6XNUNMZ4E3SL2USKLQ4ZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time reparameterization in Bianchi type I spinor cosmology","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"B. Vakili, H. R. Sepangi","submitted_at":"2007-09-19T10:47:46Z","abstract_excerpt":"The problem of time reparameterization is addressed at both the classical and quantum levels in a Bianchi-I universe in which the matter source is a massive Dirac spinor field. We take the scale factors of the metric as the intrinsic time and their conjugate momenta as the extrinsic time. A scalar character of the spinor field is identified as a representation of the extrinsic time. The construction of the field equations and quantization of the model is achieved by solving the Hamiltonian constraint after time identification has been dealt with. This procedure leads to a true Hamiltonian whos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.2988","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/0709.2988/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":"2026-07-04T15:24:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e78Q39CXaQaO94N6TmCNevUIs1dGbnhlAJWd5ZM92Cr9glEGuo7+lFuoj3GJgkPzgdsFCCqcyHBEjZRaZr67Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T06:17:28.922007Z"},"content_sha256":"a83bb9bc7b273b61e37e290df4f23d19f772d637f74ec63fe3455eaed1eadd89","schema_version":"1.0","event_id":"sha256:a83bb9bc7b273b61e37e290df4f23d19f772d637f74ec63fe3455eaed1eadd89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6XAFB6XNUNMZ4E3SL2USKLQ4ZT/bundle.json","state_url":"https://pith.science/pith/6XAFB6XNUNMZ4E3SL2USKLQ4ZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6XAFB6XNUNMZ4E3SL2USKLQ4ZT/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":"2026-08-05T06:17:28Z","links":{"resolver":"https://pith.science/pith/6XAFB6XNUNMZ4E3SL2USKLQ4ZT","bundle":"https://pith.science/pith/6XAFB6XNUNMZ4E3SL2USKLQ4ZT/bundle.json","state":"https://pith.science/pith/6XAFB6XNUNMZ4E3SL2USKLQ4ZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6XAFB6XNUNMZ4E3SL2USKLQ4ZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:6XAFB6XNUNMZ4E3SL2USKLQ4ZT","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":"52b6ed40d2f432b812feabbfe8d49c3a287b707a40d6c239405ff48726c62b15","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-09-19T10:47:46Z","title_canon_sha256":"d9ced6896ba44ede15e9f977e6cec362c996772c50f8fcd0821474f924213d10"},"schema_version":"1.0","source":{"id":"0709.2988","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.2988","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"arxiv_version","alias_value":"0709.2988v2","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.2988","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"pith_short_12","alias_value":"6XAFB6XNUNMZ","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"pith_short_16","alias_value":"6XAFB6XNUNMZ4E3S","created_at":"2026-07-04T15:24:41Z"},{"alias_kind":"pith_short_8","alias_value":"6XAFB6XN","created_at":"2026-07-04T15:24:41Z"}],"graph_snapshots":[{"event_id":"sha256:a83bb9bc7b273b61e37e290df4f23d19f772d637f74ec63fe3455eaed1eadd89","target":"graph","created_at":"2026-07-04T15:24:41Z","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/0709.2988/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The problem of time reparameterization is addressed at both the classical and quantum levels in a Bianchi-I universe in which the matter source is a massive Dirac spinor field. We take the scale factors of the metric as the intrinsic time and their conjugate momenta as the extrinsic time. A scalar character of the spinor field is identified as a representation of the extrinsic time. The construction of the field equations and quantization of the model is achieved by solving the Hamiltonian constraint after time identification has been dealt with. This procedure leads to a true Hamiltonian whos","authors_text":"B. Vakili, H. R. Sepangi","cross_cats":["astro-ph","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-09-19T10:47:46Z","title":"Time reparameterization in Bianchi type I spinor cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.2988","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":"sha256:9616cd327f30829834ec67fd60ef4afe303da410767dcbcadc960110429d3ecf","target":"record","created_at":"2026-07-04T15:24:41Z","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":"52b6ed40d2f432b812feabbfe8d49c3a287b707a40d6c239405ff48726c62b15","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-09-19T10:47:46Z","title_canon_sha256":"d9ced6896ba44ede15e9f977e6cec362c996772c50f8fcd0821474f924213d10"},"schema_version":"1.0","source":{"id":"0709.2988","kind":"arxiv","version":2}},"canonical_sha256":"f5c050faeda3599e13725ea9252e1cccc014603566753f5f9b18e3d28ebbd8b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5c050faeda3599e13725ea9252e1cccc014603566753f5f9b18e3d28ebbd8b3","first_computed_at":"2026-07-04T15:24:41.647783Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:24:41.647783Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dC6Jqo0hF6QVU4JMpXtBU0zCX3rBClWrFx3F5P6RH+VkDPczk9zNMtxp0VlW16Jvxo2/gyrINFMAkGBfkIQnDg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:24:41.648246Z","signed_message":"canonical_sha256_bytes"},"source_id":"0709.2988","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9616cd327f30829834ec67fd60ef4afe303da410767dcbcadc960110429d3ecf","sha256:a83bb9bc7b273b61e37e290df4f23d19f772d637f74ec63fe3455eaed1eadd89"],"state_sha256":"49911ada77c416ca74b3244e41bef7c04e57de766392e5a675415c4834bbb61a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0qo3IX6o4jIWQ7rqgT22FYzZBkB4IFYaKlq0YHx7+OpBbF0oOKNe/a/XiQnD99DNQH6nF7IIP15sKKh523kmCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T06:17:28.925273Z","bundle_sha256":"e55aab7bd7adb3453591fe4deea96bec638c36f231a70763717f0b57ad0d0566"}}