{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:XNW3XEJP2A3HN5LC4AXACRANRT","short_pith_number":"pith:XNW3XEJP","canonical_record":{"source":{"id":"2504.20646","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-29T11:15:02Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e48c13f21f91181d085bba2f67ca25c7cf38301cdcc75372c5c0e275d0332d0f","abstract_canon_sha256":"8173f34f5438214a25fafbf33d476be69a474e931cc8efdb0f81d8833eed9575"},"schema_version":"1.0"},"canonical_sha256":"bb6dbb912fd03676f562e02e01440d8ce4129a15a7404be77337a3d8acabad1e","source":{"kind":"arxiv","id":"2504.20646","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.20646","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"arxiv_version","alias_value":"2504.20646v2","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.20646","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"pith_short_12","alias_value":"XNW3XEJP2A3H","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"pith_short_16","alias_value":"XNW3XEJP2A3HN5LC","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"pith_short_8","alias_value":"XNW3XEJP","created_at":"2026-07-05T11:55:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:XNW3XEJP2A3HN5LC4AXACRANRT","target":"record","payload":{"canonical_record":{"source":{"id":"2504.20646","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-29T11:15:02Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"e48c13f21f91181d085bba2f67ca25c7cf38301cdcc75372c5c0e275d0332d0f","abstract_canon_sha256":"8173f34f5438214a25fafbf33d476be69a474e931cc8efdb0f81d8833eed9575"},"schema_version":"1.0"},"canonical_sha256":"bb6dbb912fd03676f562e02e01440d8ce4129a15a7404be77337a3d8acabad1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:55:19.059457Z","signature_b64":"62BDgT1CRsnrGPA4ddDpW6jxM24Z050m+IBYZGnNZH+o4+IU3yVQ4SlfVPPLuDRGqv1a9ETlonaEThLXdCOtBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb6dbb912fd03676f562e02e01440d8ce4129a15a7404be77337a3d8acabad1e","last_reissued_at":"2026-07-05T11:55:19.059055Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:55:19.059055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.20646","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:55:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9GQ4aEtqWoalPf3pCbbuKZMsHTzYPxxtYKIWTUY81SjlYHDYDVd1qd5YB9Ifj0fpZ8CWU96zmcU/if4uP1WBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:00:37.396500Z"},"content_sha256":"d630b4b5e2cd5db3c5b76d172a30331b640b1d6082507168e7a0c8d5747c1e1c","schema_version":"1.0","event_id":"sha256:d630b4b5e2cd5db3c5b76d172a30331b640b1d6082507168e7a0c8d5747c1e1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:XNW3XEJP2A3HN5LC4AXACRANRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From the Fokker-Planck equation to perturbative QFT's results in de Sitter space","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alexander Kamenshchik, Polina Petriakova","submitted_at":"2025-04-29T11:15:02Z","abstract_excerpt":"A technique to build perturbative series for the spectator field's correlation functions in de Sitter space through the Fokker-Planck equation is proposed. We derive from the first-order differential equation the iterative integral relation for equal- and multi-time correlation functions. With an appropriate integration, the obtained two-point and four-point correlation functions are in agreement with quantum field theory's ones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.20646","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.20646/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:55:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zJQ8kKiGrLA/rLT8jxyBHGQIlEfMqpvpexywjj+taFOYv/7k8R4RTFVkg5OalN9/I+q3gR3u3xIG0cXe0Hn9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:00:37.397022Z"},"content_sha256":"05c362cbdcdaedc793fda88e9e37fd0e31b9a691ca2d48d6e0f400ccac7187fd","schema_version":"1.0","event_id":"sha256:05c362cbdcdaedc793fda88e9e37fd0e31b9a691ca2d48d6e0f400ccac7187fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XNW3XEJP2A3HN5LC4AXACRANRT/bundle.json","state_url":"https://pith.science/pith/XNW3XEJP2A3HN5LC4AXACRANRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XNW3XEJP2A3HN5LC4AXACRANRT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-07T18:00:37Z","links":{"resolver":"https://pith.science/pith/XNW3XEJP2A3HN5LC4AXACRANRT","bundle":"https://pith.science/pith/XNW3XEJP2A3HN5LC4AXACRANRT/bundle.json","state":"https://pith.science/pith/XNW3XEJP2A3HN5LC4AXACRANRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XNW3XEJP2A3HN5LC4AXACRANRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XNW3XEJP2A3HN5LC4AXACRANRT","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":"8173f34f5438214a25fafbf33d476be69a474e931cc8efdb0f81d8833eed9575","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-29T11:15:02Z","title_canon_sha256":"e48c13f21f91181d085bba2f67ca25c7cf38301cdcc75372c5c0e275d0332d0f"},"schema_version":"1.0","source":{"id":"2504.20646","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.20646","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"arxiv_version","alias_value":"2504.20646v2","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.20646","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"pith_short_12","alias_value":"XNW3XEJP2A3H","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"pith_short_16","alias_value":"XNW3XEJP2A3HN5LC","created_at":"2026-07-05T11:55:19Z"},{"alias_kind":"pith_short_8","alias_value":"XNW3XEJP","created_at":"2026-07-05T11:55:19Z"}],"graph_snapshots":[{"event_id":"sha256:05c362cbdcdaedc793fda88e9e37fd0e31b9a691ca2d48d6e0f400ccac7187fd","target":"graph","created_at":"2026-07-05T11:55:19Z","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/2504.20646/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A technique to build perturbative series for the spectator field's correlation functions in de Sitter space through the Fokker-Planck equation is proposed. We derive from the first-order differential equation the iterative integral relation for equal- and multi-time correlation functions. With an appropriate integration, the obtained two-point and four-point correlation functions are in agreement with quantum field theory's ones.","authors_text":"Alexander Kamenshchik, Polina Petriakova","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-29T11:15:02Z","title":"From the Fokker-Planck equation to perturbative QFT's results in de Sitter space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.20646","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:d630b4b5e2cd5db3c5b76d172a30331b640b1d6082507168e7a0c8d5747c1e1c","target":"record","created_at":"2026-07-05T11:55:19Z","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":"8173f34f5438214a25fafbf33d476be69a474e931cc8efdb0f81d8833eed9575","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"hep-th","submitted_at":"2025-04-29T11:15:02Z","title_canon_sha256":"e48c13f21f91181d085bba2f67ca25c7cf38301cdcc75372c5c0e275d0332d0f"},"schema_version":"1.0","source":{"id":"2504.20646","kind":"arxiv","version":2}},"canonical_sha256":"bb6dbb912fd03676f562e02e01440d8ce4129a15a7404be77337a3d8acabad1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb6dbb912fd03676f562e02e01440d8ce4129a15a7404be77337a3d8acabad1e","first_computed_at":"2026-07-05T11:55:19.059055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:55:19.059055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"62BDgT1CRsnrGPA4ddDpW6jxM24Z050m+IBYZGnNZH+o4+IU3yVQ4SlfVPPLuDRGqv1a9ETlonaEThLXdCOtBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:55:19.059457Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.20646","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d630b4b5e2cd5db3c5b76d172a30331b640b1d6082507168e7a0c8d5747c1e1c","sha256:05c362cbdcdaedc793fda88e9e37fd0e31b9a691ca2d48d6e0f400ccac7187fd"],"state_sha256":"48e82d31e90d995179b5afe44a11d91c2c69f863965d3e566063090f147f96d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JZTqh/QIdPPsFLhw3coqiEVijSefmvj2XG4jjWlk6KXpghj+lH4HGD61HQANw9UdGpyPZ4m/PPfBjvYpCX0bCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T18:00:37.401118Z","bundle_sha256":"b2a1f09052514627c4ef3817299b6c962eee46a1f69b1999fc27db1e146224cb"}}