{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:CQQM55OR7IABPDPQ2CMQCS4DIT","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":"7d2556a9e4bfb31e81927013feb9d9ad79523374afd5433d77cae29ada28e24c","cross_cats_sorted":["hep-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1999-02-01T19:54:53Z","title_canon_sha256":"86ebfac690fb28161c2c4b85488a99db76bdeed57f972183da87879624492f58"},"schema_version":"1.0","source":{"id":"gr-qc/9902007","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9902007","created_at":"2026-05-18T01:08:01Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9902007v1","created_at":"2026-05-18T01:08:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9902007","created_at":"2026-05-18T01:08:01Z"},{"alias_kind":"pith_short_12","alias_value":"CQQM55OR7IAB","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"CQQM55OR7IABPDPQ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"CQQM55OR","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:6e4e7cb59c6335b66fb98a470b37e79ae2842628ad8bd81e0a7e7cbcd39367c7","target":"graph","created_at":"2026-05-18T01:08:01Z","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":"The stochastic approach to inflation suffers from ambiguities due to the arbitrary choice of the time variable and due to the choice of the factor ordering in the corresponding Fokker-Planck equation. Here it is shown that both ambiguities can be removed if we require that the factor ordering should be set in such a way that physical results are invariant with respect to time reparametrizations. This requirement uniquely selects the so-called Ito factor ordering. Additional ambiguities associated with non-trivial kinetic terms of the scalar fields are also discussed, as well as ways of constra","authors_text":"Alexander Vilenkin (Tufts University)","cross_cats":["hep-ph","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1999-02-01T19:54:53Z","title":"On the factor ordering problem in stochastic inflation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9902007","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":"sha256:8d238f4e7717fedbcc1f65f0a455502dfb7c2e585bee90724571e2d784224598","target":"record","created_at":"2026-05-18T01:08:01Z","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":"7d2556a9e4bfb31e81927013feb9d9ad79523374afd5433d77cae29ada28e24c","cross_cats_sorted":["hep-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1999-02-01T19:54:53Z","title_canon_sha256":"86ebfac690fb28161c2c4b85488a99db76bdeed57f972183da87879624492f58"},"schema_version":"1.0","source":{"id":"gr-qc/9902007","kind":"arxiv","version":1}},"canonical_sha256":"1420cef5d1fa00178df0d099014b8344e6e404de88169a1630da0b89e86d3db9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1420cef5d1fa00178df0d099014b8344e6e404de88169a1630da0b89e86d3db9","first_computed_at":"2026-05-18T01:08:01.152011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:01.152011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ESkkbXNsUMyd9VUIMMiN9Y0kiTucM6BeG7SgaVtMvU08Lmnd6DYJBG/gpE6FzOzJ5qqG2HkwBZYMH5sAqBHGAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:01.152383Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9902007","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d238f4e7717fedbcc1f65f0a455502dfb7c2e585bee90724571e2d784224598","sha256:6e4e7cb59c6335b66fb98a470b37e79ae2842628ad8bd81e0a7e7cbcd39367c7"],"state_sha256":"c64e766bbd25eb9312bad6947c74068676b0706307baebe7042ec8d030d50301"}