{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UFGZACREASCYIHZZDCGUV3Z7ZL","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":"025915c31663e940f8dcbcc7ece6e200f620100943be02abbdfc471055325320","cross_cats_sorted":["gr-qc","hep-ph","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-05-29T13:57:18Z","title_canon_sha256":"b20b90283ef8a44b0176c0d1e62ec10e536ed24a55cddd78079cf253a1182208"},"schema_version":"1.0","source":{"id":"2606.00176","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.00176","created_at":"2026-06-02T01:03:20Z"},{"alias_kind":"arxiv_version","alias_value":"2606.00176v1","created_at":"2026-06-02T01:03:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00176","created_at":"2026-06-02T01:03:20Z"},{"alias_kind":"pith_short_12","alias_value":"UFGZACREASCY","created_at":"2026-06-02T01:03:20Z"},{"alias_kind":"pith_short_16","alias_value":"UFGZACREASCYIHZZ","created_at":"2026-06-02T01:03:20Z"},{"alias_kind":"pith_short_8","alias_value":"UFGZACRE","created_at":"2026-06-02T01:03:20Z"}],"graph_snapshots":[{"event_id":"sha256:ff0fbedb25355096e68733fdb3ab2aa4ec2605848f6d3d48b0c9394e2f1b4be2","target":"graph","created_at":"2026-06-02T01:03:20Z","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/2606.00176/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Stochastic inflation is a powerful technique for calculating the probability distribution function (PDF) of large inflationary perturbations, which may collapse to form Primordial Black Holes. The PDF, $P({\\cal N})$, of the stochastic number of e-folds, ${\\cal N}$, satisfies an adjoint Fokker-Planck Equation. We develop a new self-contained eigenvalue technique which can be used to determine $P({\\cal N})$. First we apply this method to the simple case of quantum diffusion along a flat potential without any classical drift. We recover the expression for the PDF that has previously been found us","authors_text":"Anne M. Green, Edmund J. Copeland, Swagat S. Mishra","cross_cats":["gr-qc","hep-ph","hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-05-29T13:57:18Z","title":"Eigenvalue formulation of Stochastic Inflation and application to large perturbation generating inflationary features"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00176","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":"sha256:4780b95c8648501e9805c8b5066a9e37fd80c9723f268ebf1af5ac6a3725d160","target":"record","created_at":"2026-06-02T01:03:20Z","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":"025915c31663e940f8dcbcc7ece6e200f620100943be02abbdfc471055325320","cross_cats_sorted":["gr-qc","hep-ph","hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-05-29T13:57:18Z","title_canon_sha256":"b20b90283ef8a44b0176c0d1e62ec10e536ed24a55cddd78079cf253a1182208"},"schema_version":"1.0","source":{"id":"2606.00176","kind":"arxiv","version":1}},"canonical_sha256":"a14d900a240485841f39188d4aef3fcad8dfa9caf992419330d4ed926da1ed6b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a14d900a240485841f39188d4aef3fcad8dfa9caf992419330d4ed926da1ed6b","first_computed_at":"2026-06-02T01:03:20.587902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:20.587902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kxKxdr5tsCDYxjOZpy6rzFGpE45X8bEnWbrnxoZze6AvCLVVazP/cpEoKzYPp2EneCPXf4Vv678QPt+aDGFVAA==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:20.588269Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.00176","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4780b95c8648501e9805c8b5066a9e37fd80c9723f268ebf1af5ac6a3725d160","sha256:ff0fbedb25355096e68733fdb3ab2aa4ec2605848f6d3d48b0c9394e2f1b4be2"],"state_sha256":"0e11017e926f6455559f188ca0585d0798fab3eb05a34757487d4d9c20ef91e4"}