{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EPIJXXGZ37MZWSNTUKIPRUJGSY","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":"776e2c0049dd45161e655f653becf1d7bbafe25e495aba18025ee6590056371d","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-08T08:11:02Z","title_canon_sha256":"5e663d2c4a856c57104bf1bed54a952e9d2eddafd4a3ccb52b2418eaa0f41688"},"schema_version":"1.0","source":{"id":"2501.04334","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.04334","created_at":"2026-07-05T11:27:23Z"},{"alias_kind":"arxiv_version","alias_value":"2501.04334v2","created_at":"2026-07-05T11:27:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04334","created_at":"2026-07-05T11:27:23Z"},{"alias_kind":"pith_short_12","alias_value":"EPIJXXGZ37MZ","created_at":"2026-07-05T11:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"EPIJXXGZ37MZWSNT","created_at":"2026-07-05T11:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"EPIJXXGZ","created_at":"2026-07-05T11:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:439b93c5c3b796518d7365d4014575ee69de13718fc370c673eae03ff318d19c","target":"graph","created_at":"2026-07-05T11:27:23Z","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/2501.04334/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For zero spatial curvature, cosmological phase space of Starobinsky and extended Starobinsky inflationary model show three apparent attractors; the fixed angle attractor in the large field limit, the final attractor representing reheating phase in the small field region, and the apparent attractor corresponding to the slow-roll condition connecting between the large-field and small-field region. To consider the total $e$-folding likelihood of the model, Remmen-Carroll conserved measure is constructed and normalized. Using the measure, the total e-folding number $N$ and its expectation value $\\","authors_text":"Piyabut Burikham, Theppawan Rukpakawong","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-08T08:11:02Z","title":"The effective phase space and $e$-folding of the Starobinsky and extended Starobinsky model of inflation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04334","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:b340bf3059d7f87a0f1097e6474856cae7077ccfdf55eb31bd3679a7bb5ffb66","target":"record","created_at":"2026-07-05T11:27:23Z","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":"776e2c0049dd45161e655f653becf1d7bbafe25e495aba18025ee6590056371d","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-08T08:11:02Z","title_canon_sha256":"5e663d2c4a856c57104bf1bed54a952e9d2eddafd4a3ccb52b2418eaa0f41688"},"schema_version":"1.0","source":{"id":"2501.04334","kind":"arxiv","version":2}},"canonical_sha256":"23d09bdcd9dfd99b49b3a290f8d1269621d9afa3d841876c0cd7c006aea31996","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23d09bdcd9dfd99b49b3a290f8d1269621d9afa3d841876c0cd7c006aea31996","first_computed_at":"2026-07-05T11:27:23.090530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:27:23.090530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ukPM2TKXk5oNX0RtFWnbXkFxL3/n5oTih4EMtEuqG8rrAQw4fCTefnTN8FZXQo7/IIOGwnEyTBgFXJ6w+7e/Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:27:23.090947Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.04334","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b340bf3059d7f87a0f1097e6474856cae7077ccfdf55eb31bd3679a7bb5ffb66","sha256:439b93c5c3b796518d7365d4014575ee69de13718fc370c673eae03ff318d19c"],"state_sha256":"99398872447ce89071a1a44ad5e74c7ba777cf13c39f2d8a4229d94ccc2f4a02"}