{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:XQSSFJHJMNLJL5CSRTL4PUAHW7","short_pith_number":"pith:XQSSFJHJ","canonical_record":{"source":{"id":"1707.00537","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-03T13:28:43Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"7a483b143027d3f9dd10d2eac98e9a4ae4bc05fe6261ac5667930a412a9a9978","abstract_canon_sha256":"6a62937ef245695b1fe2a9f80d96e44fd512f30731db7ebf29641686fa645c37"},"schema_version":"1.0"},"canonical_sha256":"bc2522a4e9635695f4528cd7c7d007b7d4723406e1c951c2caa8035c52f9464c","source":{"kind":"arxiv","id":"1707.00537","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00537","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00537v3","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00537","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"pith_short_12","alias_value":"XQSSFJHJMNLJ","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"pith_short_16","alias_value":"XQSSFJHJMNLJL5CS","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"pith_short_8","alias_value":"XQSSFJHJ","created_at":"2026-07-05T01:35:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:XQSSFJHJMNLJL5CSRTL4PUAHW7","target":"record","payload":{"canonical_record":{"source":{"id":"1707.00537","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-03T13:28:43Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"7a483b143027d3f9dd10d2eac98e9a4ae4bc05fe6261ac5667930a412a9a9978","abstract_canon_sha256":"6a62937ef245695b1fe2a9f80d96e44fd512f30731db7ebf29641686fa645c37"},"schema_version":"1.0"},"canonical_sha256":"bc2522a4e9635695f4528cd7c7d007b7d4723406e1c951c2caa8035c52f9464c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:35:18.589357Z","signature_b64":"75vbRtX+lv5k7Y5D+MtpGCtRBkGTwAZqz9rbyE9vDRWrPLgxJTTt4sy58TuZ40P0SaidCNw/bWSzYgobd/gGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc2522a4e9635695f4528cd7c7d007b7d4723406e1c951c2caa8035c52f9464c","last_reissued_at":"2026-07-05T01:35:18.588908Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:35:18.588908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.00537","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:35:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IRIjCCg4GtcGypqtQPZ5lIXVk8X6bB3hKRpnbK12kuEj62TwopiwGiBQoa6wCpvk5fTt0rdu/YOqVOVzgRv6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T13:09:22.257869Z"},"content_sha256":"5d1b83f421b0e6542e6257e971510997c23d27ea901a8b6544507beace9ee286","schema_version":"1.0","event_id":"sha256:5d1b83f421b0e6542e6257e971510997c23d27ea901a8b6544507beace9ee286"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:XQSSFJHJMNLJL5CSRTL4PUAHW7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum diffusion during inflation and primordial black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Chris Pattison, David Wands, Hooshyar Assadullahi, Vincent Vennin","submitted_at":"2017-07-03T13:28:43Z","abstract_excerpt":"We calculate the full probability density function (PDF) of inflationary curvature perturbations, even in the presence of large quantum backreaction. Making use of the stochastic-$\\delta N$ formalism, two complementary methods are developed, one based on solving an ordinary differential equation for the characteristic function of the PDF, and the other based on solving a heat equation for the PDF directly. In the classical limit where quantum diffusion is small, we develop an expansion scheme that not only recovers the standard Gaussian PDF at leading order, but also allows us to calculate the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00537","kind":"arxiv","version":3},"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/1707.00537/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":"2026-07-05T01:35:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gh5NteQzxt7t/4FuZjtZNsWF+Xi2+qQDejXC98/gvqk5LwX2pDJTsZNza17mfvMOLMM3I79fOs+tudRHrMEBAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-10T13:09:22.258236Z"},"content_sha256":"160a4062109bb73e9bab300d0f2d88306021bb3fb731020be426c6674f551010","schema_version":"1.0","event_id":"sha256:160a4062109bb73e9bab300d0f2d88306021bb3fb731020be426c6674f551010"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XQSSFJHJMNLJL5CSRTL4PUAHW7/bundle.json","state_url":"https://pith.science/pith/XQSSFJHJMNLJL5CSRTL4PUAHW7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XQSSFJHJMNLJL5CSRTL4PUAHW7/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":"2026-07-10T13:09:22Z","links":{"resolver":"https://pith.science/pith/XQSSFJHJMNLJL5CSRTL4PUAHW7","bundle":"https://pith.science/pith/XQSSFJHJMNLJL5CSRTL4PUAHW7/bundle.json","state":"https://pith.science/pith/XQSSFJHJMNLJL5CSRTL4PUAHW7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XQSSFJHJMNLJL5CSRTL4PUAHW7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XQSSFJHJMNLJL5CSRTL4PUAHW7","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":"6a62937ef245695b1fe2a9f80d96e44fd512f30731db7ebf29641686fa645c37","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-03T13:28:43Z","title_canon_sha256":"7a483b143027d3f9dd10d2eac98e9a4ae4bc05fe6261ac5667930a412a9a9978"},"schema_version":"1.0","source":{"id":"1707.00537","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00537","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00537v3","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00537","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"pith_short_12","alias_value":"XQSSFJHJMNLJ","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"pith_short_16","alias_value":"XQSSFJHJMNLJL5CS","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"pith_short_8","alias_value":"XQSSFJHJ","created_at":"2026-07-05T01:35:18Z"}],"graph_snapshots":[{"event_id":"sha256:160a4062109bb73e9bab300d0f2d88306021bb3fb731020be426c6674f551010","target":"graph","created_at":"2026-07-05T01:35:18Z","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/1707.00537/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We calculate the full probability density function (PDF) of inflationary curvature perturbations, even in the presence of large quantum backreaction. Making use of the stochastic-$\\delta N$ formalism, two complementary methods are developed, one based on solving an ordinary differential equation for the characteristic function of the PDF, and the other based on solving a heat equation for the PDF directly. In the classical limit where quantum diffusion is small, we develop an expansion scheme that not only recovers the standard Gaussian PDF at leading order, but also allows us to calculate the","authors_text":"Chris Pattison, David Wands, Hooshyar Assadullahi, Vincent Vennin","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-03T13:28:43Z","title":"Quantum diffusion during inflation and primordial black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00537","kind":"arxiv","version":3},"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":"sha256:5d1b83f421b0e6542e6257e971510997c23d27ea901a8b6544507beace9ee286","target":"record","created_at":"2026-07-05T01:35:18Z","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":"6a62937ef245695b1fe2a9f80d96e44fd512f30731db7ebf29641686fa645c37","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-03T13:28:43Z","title_canon_sha256":"7a483b143027d3f9dd10d2eac98e9a4ae4bc05fe6261ac5667930a412a9a9978"},"schema_version":"1.0","source":{"id":"1707.00537","kind":"arxiv","version":3}},"canonical_sha256":"bc2522a4e9635695f4528cd7c7d007b7d4723406e1c951c2caa8035c52f9464c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc2522a4e9635695f4528cd7c7d007b7d4723406e1c951c2caa8035c52f9464c","first_computed_at":"2026-07-05T01:35:18.588908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:35:18.588908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"75vbRtX+lv5k7Y5D+MtpGCtRBkGTwAZqz9rbyE9vDRWrPLgxJTTt4sy58TuZ40P0SaidCNw/bWSzYgobd/gGBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:35:18.589357Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.00537","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d1b83f421b0e6542e6257e971510997c23d27ea901a8b6544507beace9ee286","sha256:160a4062109bb73e9bab300d0f2d88306021bb3fb731020be426c6674f551010"],"state_sha256":"8011ab58fcf1543c49708808d43d06ce0685529eee4a96d519b6612178fe1efe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o08tdjyeh6ry+9JEX9UvD74GRbuaQZDkE4d0QlNMsDo15riZspW1zRviU2DupiomcS5Eoqz/WWAak7HplayACw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-10T13:09:22.260105Z","bundle_sha256":"b1041f60eb70a10c980311604a4c6b59b8b1a3df63233c828cb72b90265096bc"}}