{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7Y2VHVP3N5DMLC7J3KICAPSJXG","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":"f513937647f2682a6faedf9cd1e980debadbf0122e7c66a3b1721f48b3cc0668","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2006-04-04T19:03:37Z","title_canon_sha256":"fe49d5ad9f604e4e5e90280668922a4037509af468311a713756acec11233b14"},"schema_version":"1.0","source":{"id":"gr-qc/0604013","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0604013","created_at":"2026-07-04T15:22:22Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0604013v3","created_at":"2026-07-04T15:22:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0604013","created_at":"2026-07-04T15:22:22Z"},{"alias_kind":"pith_short_12","alias_value":"7Y2VHVP3N5DM","created_at":"2026-07-04T15:22:22Z"},{"alias_kind":"pith_short_16","alias_value":"7Y2VHVP3N5DMLC7J","created_at":"2026-07-04T15:22:22Z"},{"alias_kind":"pith_short_8","alias_value":"7Y2VHVP3","created_at":"2026-07-04T15:22:22Z"}],"graph_snapshots":[{"event_id":"sha256:cdd22173522405f4ba600e2caae55cd53a28b447d36487addd1be29fc51b2754","target":"graph","created_at":"2026-07-04T15:22:22Z","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/0604013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Analytical and numerical methods are developed to analyze the quantum nature of the big bang in the setting of loop quantum cosmology. They enable one to explore the effects of quantum geometry both on the gravitational and matter sectors and significantly extend the known results on the resolution of the big bang singularity. Specifically, the following results are established for the homogeneous isotropic model with a massless scalar field: i) the scalar field is shown to serve as an internal clock, thereby providing a detailed realization of the `emergent time' idea; ii) the physical Hilber","authors_text":"Abhay Ashtekar, Parampreet Singh, Tomasz Pawlowski","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2006-04-04T19:03:37Z","title":"Quantum Nature of the Big Bang: An Analytical and Numerical Investigation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0604013","kind":"arxiv","version":3},"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:e6a5db9d6adefc97e68b936746ca25c80ad52c48453c8bda6ce251036af4c854","target":"record","created_at":"2026-07-04T15:22:22Z","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":"f513937647f2682a6faedf9cd1e980debadbf0122e7c66a3b1721f48b3cc0668","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2006-04-04T19:03:37Z","title_canon_sha256":"fe49d5ad9f604e4e5e90280668922a4037509af468311a713756acec11233b14"},"schema_version":"1.0","source":{"id":"gr-qc/0604013","kind":"arxiv","version":3}},"canonical_sha256":"fe3553d5fb6f46c58be9da90203e49b9bd8e8fff01a412a33bdc73548f39d7cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe3553d5fb6f46c58be9da90203e49b9bd8e8fff01a412a33bdc73548f39d7cf","first_computed_at":"2026-07-04T15:22:22.784557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:22:22.784557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IkCSwPj9isDxLH3dtWuCqW9Hvvu8ZZ1QhHUIDkQy+h9ZWIV2OO1tU+QIGd2vMcXLqQdaP9bhIMHap5L+/zuNAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:22:22.784971Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0604013","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6a5db9d6adefc97e68b936746ca25c80ad52c48453c8bda6ce251036af4c854","sha256:cdd22173522405f4ba600e2caae55cd53a28b447d36487addd1be29fc51b2754"],"state_sha256":"3546fb52b0a0124199b8738a59ccb4c964702e6a41f757162363e7006236ca0c"}