{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:7FQDAKVQR2TGPHCTFVKOKZMMIN","short_pith_number":"pith:7FQDAKVQ","schema_version":"1.0","canonical_sha256":"f960302ab08ea6679c532d54e5658c43733d3aceb22a255d02bb27e0d76c2ca7","source":{"kind":"arxiv","id":"gr-qc/0607039","version":2},"attestation_state":"computed","paper":{"title":"Quantum Nature of the Big Bang: Improved dynamics","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Abhay Ashtekar, Parampreet Singh, Tomasz Pawlowski","submitted_at":"2006-07-10T17:20:55Z","abstract_excerpt":"An improved Hamiltonian constraint operator is introduced in loop quantum cosmology. Quantum dynamics of the spatially flat, isotropic model with a massless scalar field is then studied in detail using analytical and numerical methods. The scalar field continues to serve as `emergent time', the big bang is again replaced by a quantum bounce, and quantum evolution remains deterministic across the deep Planck regime. However, while with the Hamiltonian constraint used so far in loop quantum cosmology the quantum bounce can occur even at low matter densities, with the new Hamiltonian constraint i"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"gr-qc/0607039","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-07-10T17:20:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ab256b32fb0b052331932ec0cada813d780553f6191751c5ff715372b11d9b8d","abstract_canon_sha256":"1e62c9911a419e38693110464bc515f35313932c613ec34675b875919608165b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:23.194227Z","signature_b64":"CKiuEQ8bpWYlwgtL2AP/TkfevANUqRwGaKlga/de+xUmrMBSd9jpOoiy5IPLUCU0X9zRfkf2v64cPQapRT6eBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f960302ab08ea6679c532d54e5658c43733d3aceb22a255d02bb27e0d76c2ca7","last_reissued_at":"2026-07-04T15:22:23.193816Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:23.193816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Nature of the Big Bang: Improved dynamics","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Abhay Ashtekar, Parampreet Singh, Tomasz Pawlowski","submitted_at":"2006-07-10T17:20:55Z","abstract_excerpt":"An improved Hamiltonian constraint operator is introduced in loop quantum cosmology. Quantum dynamics of the spatially flat, isotropic model with a massless scalar field is then studied in detail using analytical and numerical methods. The scalar field continues to serve as `emergent time', the big bang is again replaced by a quantum bounce, and quantum evolution remains deterministic across the deep Planck regime. However, while with the Hamiltonian constraint used so far in loop quantum cosmology the quantum bounce can occur even at low matter densities, with the new Hamiltonian constraint i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0607039","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/gr-qc/0607039/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0607039","created_at":"2026-07-04T15:22:23.193876+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0607039v2","created_at":"2026-07-04T15:22:23.193876+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0607039","created_at":"2026-07-04T15:22:23.193876+00:00"},{"alias_kind":"pith_short_12","alias_value":"7FQDAKVQR2TG","created_at":"2026-07-04T15:22:23.193876+00:00"},{"alias_kind":"pith_short_16","alias_value":"7FQDAKVQR2TGPHCT","created_at":"2026-07-04T15:22:23.193876+00:00"},{"alias_kind":"pith_short_8","alias_value":"7FQDAKVQ","created_at":"2026-07-04T15:22:23.193876+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":13,"internal_anchor_count":10,"sample":[{"citing_arxiv_id":"2607.01724","citing_title":"Classical and Loop Quantum Cosmology of Interacting Dark Energy: A Dynamical System Analysis with Superfluid Dark Matter and Dust Matter","ref_index":66,"is_internal_anchor":true},{"citing_arxiv_id":"2606.06019","citing_title":"Polymer quantum mechanics on compact configuration spaces","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2606.01930","citing_title":"Effective dynamics of a homogeneous and isotropic universe with quantum curvature","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2605.07848","citing_title":"Fuzzy-novae","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2505.14813","citing_title":"Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology","ref_index":34,"is_internal_anchor":true},{"citing_arxiv_id":"2509.06148","citing_title":"Quasi-dust ekpyrotic scenario in Loop Quantum Cosmology","ref_index":49,"is_internal_anchor":true},{"citing_arxiv_id":"2601.18618","citing_title":"Quantum gravitational stellar evolution beyond shell-crossing singularities","ref_index":41,"is_internal_anchor":true},{"citing_arxiv_id":"2605.18249","citing_title":"Quasinormal modes of a rotating loop quantum black hole","ref_index":6,"is_internal_anchor":true},{"citing_arxiv_id":"2507.08116","citing_title":"Singularities in loop quantum cosmology","ref_index":4,"is_internal_anchor":true},{"citing_arxiv_id":"2511.20425","citing_title":"Canonical form of a deformed Poisson bracket spacetime","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2605.12173","citing_title":"Chaos and epoch structure in the deformed Mixmaster universe","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07848","citing_title":"Fuzzy-novae","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06572","citing_title":"Area bounds and gauge fixing: alternative canonical variables for loop gravity","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7FQDAKVQR2TGPHCTFVKOKZMMIN","json":"https://pith.science/pith/7FQDAKVQR2TGPHCTFVKOKZMMIN.json","graph_json":"https://pith.science/api/pith-number/7FQDAKVQR2TGPHCTFVKOKZMMIN/graph.json","events_json":"https://pith.science/api/pith-number/7FQDAKVQR2TGPHCTFVKOKZMMIN/events.json","paper":"https://pith.science/paper/7FQDAKVQ"},"agent_actions":{"view_html":"https://pith.science/pith/7FQDAKVQR2TGPHCTFVKOKZMMIN","download_json":"https://pith.science/pith/7FQDAKVQR2TGPHCTFVKOKZMMIN.json","view_paper":"https://pith.science/paper/7FQDAKVQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0607039&json=true","fetch_graph":"https://pith.science/api/pith-number/7FQDAKVQR2TGPHCTFVKOKZMMIN/graph.json","fetch_events":"https://pith.science/api/pith-number/7FQDAKVQR2TGPHCTFVKOKZMMIN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7FQDAKVQR2TGPHCTFVKOKZMMIN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7FQDAKVQR2TGPHCTFVKOKZMMIN/action/storage_attestation","attest_author":"https://pith.science/pith/7FQDAKVQR2TGPHCTFVKOKZMMIN/action/author_attestation","sign_citation":"https://pith.science/pith/7FQDAKVQR2TGPHCTFVKOKZMMIN/action/citation_signature","submit_replication":"https://pith.science/pith/7FQDAKVQR2TGPHCTFVKOKZMMIN/action/replication_record"}},"created_at":"2026-07-04T15:22:23.193876+00:00","updated_at":"2026-07-04T15:22:23.193876+00:00"}