{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:46DLYDKRTXX4A4CFNFQOIMTILN","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":"e0f207db7bfcb440224becfdc9c5f4b49c33d628cff397ac84ce74468aab73f1","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T18:31:11Z","title_canon_sha256":"8e32dba1d777037b9f2bd4818460aff0a14d79cefdf23366b32996eed9e6e0b8"},"schema_version":"1.0","source":{"id":"1109.4903","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4903","created_at":"2026-05-18T02:00:26Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4903v1","created_at":"2026-05-18T02:00:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4903","created_at":"2026-05-18T02:00:26Z"},{"alias_kind":"pith_short_12","alias_value":"46DLYDKRTXX4","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"46DLYDKRTXX4A4CF","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"46DLYDKR","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:87ebc48eecc469fd812f9cbf858424aafbf38f13cbf4aa9d4e0f17b46c84b258","target":"graph","created_at":"2026-05-18T02:00:26Z","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":"Deformation quantization is applied to quantize gravitational systems coupled with matter. This quantization procedure is performed explicitly for quantum cosmology of these systems in a flat minisuper(phase)space. The procedure is employed in a quantum string minisuperspace corresponding to an axion-dilaton system in an isotropic FRW Universe. The Wheeler-DeWitt-Moyal equation is obtained and its corresponding Wigner function is given analytically in terms of Meijer's functions. Finally, this Wigner functions is used to extract physical information of the system.","authors_text":"Erik Diaz, Francisco J. Turrubiates, Hugo Garcia-Compean, Ruben Cordero","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T18:31:11Z","title":"Quantum string cosmology in the phase space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4903","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":"sha256:524b131299e226e6e7165ac1bb794dacaedd23b73a1e1f4504a1b663ebac4ac7","target":"record","created_at":"2026-05-18T02:00:26Z","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":"e0f207db7bfcb440224becfdc9c5f4b49c33d628cff397ac84ce74468aab73f1","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T18:31:11Z","title_canon_sha256":"8e32dba1d777037b9f2bd4818460aff0a14d79cefdf23366b32996eed9e6e0b8"},"schema_version":"1.0","source":{"id":"1109.4903","kind":"arxiv","version":1}},"canonical_sha256":"e786bc0d519defc070456960e432685b6f5f1c11e5dfa49a18757c49c81664cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e786bc0d519defc070456960e432685b6f5f1c11e5dfa49a18757c49c81664cf","first_computed_at":"2026-05-18T02:00:26.400218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:26.400218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ArewdUqR6WmS6nD6JgM2aKXe7eUAfg/h6Cbur5ES8LuUMl/uk1XoKL/o2ygotkKqnje0R8uO5n4OgqOfyXY6BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:26.400923Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4903","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:524b131299e226e6e7165ac1bb794dacaedd23b73a1e1f4504a1b663ebac4ac7","sha256:87ebc48eecc469fd812f9cbf858424aafbf38f13cbf4aa9d4e0f17b46c84b258"],"state_sha256":"a61e2dab76996a9103a39503e50b7ed3c48e4ef8598946a2605f7509c9a4ef66"}