{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:G6Q55RLUH67BWMWR5M77MX7V5P","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":"e2fecbc5b0160b59e4c8e587f60130d3a6021d443cd5ed60af60714bafb14bf9","cross_cats_sorted":["astro-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-24T21:07:38Z","title_canon_sha256":"668f2dee9908b90006abdb98d46c7c6277c9ae16deeab11db53ae67b721bdd94"},"schema_version":"1.0","source":{"id":"0805.3794","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.3794","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"0805.3794v2","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.3794","created_at":"2026-05-18T02:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"G6Q55RLUH67B","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"G6Q55RLUH67BWMWR","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"G6Q55RLU","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:a8b9d370f2b3a9be02c3d404c080263dd52d632cf9ee68f3e185b51dbb58f7a5","target":"graph","created_at":"2026-05-18T02:35:22Z","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"},"paper":{"abstract_excerpt":"We describe non-flat standard Friedmann cosmology of canonical scalar field with barotropic fluid in form of non-linear\n  Schr\\\"{o}dinger-type (NLS) formulation in which all cosmological dynamical quantities are expressed in term of Schr\\\"{o}dinger quantities as similar to those in time-independent quantum mechanics. We assume the expansion to be superfast, i.e. phantom expansion. We report all Schr\\\"{o}dinger-analogous quantities to scalar field cosmology.\n  Effective equation of state coefficient is analyzed and illustrated. We show that in a non-flat universe, there is no fixed $w_{\\rm eff}","authors_text":"Burin Gumjudpai (TPTP Naresuan U., DAMTP U. Cambridge), Roongtum Sooksan (TPTP Naresuan U.), Theerakarn Phetnora (TPTP Naresuan U.)","cross_cats":["astro-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-24T21:07:38Z","title":"Phantom expansion with non-linear Schr\\\"{o}dinger-type formulation of scalar field cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.3794","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":"sha256:402c262a8dfda83f4e78eef9ca9fc6aa6508e5cf450bab96988e2d7657c320da","target":"record","created_at":"2026-05-18T02:35:22Z","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":"e2fecbc5b0160b59e4c8e587f60130d3a6021d443cd5ed60af60714bafb14bf9","cross_cats_sorted":["astro-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-24T21:07:38Z","title_canon_sha256":"668f2dee9908b90006abdb98d46c7c6277c9ae16deeab11db53ae67b721bdd94"},"schema_version":"1.0","source":{"id":"0805.3794","kind":"arxiv","version":2}},"canonical_sha256":"37a1dec5743fbe1b32d1eb3ff65ff5ebcc6157b24bfbd9e5ec0917099beccef6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37a1dec5743fbe1b32d1eb3ff65ff5ebcc6157b24bfbd9e5ec0917099beccef6","first_computed_at":"2026-05-18T02:35:22.244463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:22.244463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o8w5Wi5Hz8OCGDBV69NONzGUbYJnp1xV3jfJCMY+t0jpTuRI8IkYhEppUOq5RXsf4fD39iCnV+1es+jlvHdOBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:22.244883Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.3794","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:402c262a8dfda83f4e78eef9ca9fc6aa6508e5cf450bab96988e2d7657c320da","sha256:a8b9d370f2b3a9be02c3d404c080263dd52d632cf9ee68f3e185b51dbb58f7a5"],"state_sha256":"2d628a8900b77c177ba457fabb4612d643359dae6f4b421efde57b6a218ae064"}