{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:5AF6H4VFFRY6K3OO6XFOKN5MHL","short_pith_number":"pith:5AF6H4VF","canonical_record":{"source":{"id":"2210.03138","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-10-06T18:00:44Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"af230a3c5830e967be7a4644cbf252808c92ad0ba9f44baa4527de294adbf57b","abstract_canon_sha256":"02a28a6ea02d021832d1bd4fdd99d6b4a4502c756c4e275343c9ec8d03a2baf0"},"schema_version":"1.0"},"canonical_sha256":"e80be3f2a52c71e56dcef5cae537ac3ac068ac1546419657089b4e05faba683b","source":{"kind":"arxiv","id":"2210.03138","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.03138","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"arxiv_version","alias_value":"2210.03138v2","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.03138","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"pith_short_12","alias_value":"5AF6H4VFFRY6","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"pith_short_16","alias_value":"5AF6H4VFFRY6K3OO","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"pith_short_8","alias_value":"5AF6H4VF","created_at":"2026-07-05T06:12:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:5AF6H4VFFRY6K3OO6XFOKN5MHL","target":"record","payload":{"canonical_record":{"source":{"id":"2210.03138","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-10-06T18:00:44Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"af230a3c5830e967be7a4644cbf252808c92ad0ba9f44baa4527de294adbf57b","abstract_canon_sha256":"02a28a6ea02d021832d1bd4fdd99d6b4a4502c756c4e275343c9ec8d03a2baf0"},"schema_version":"1.0"},"canonical_sha256":"e80be3f2a52c71e56dcef5cae537ac3ac068ac1546419657089b4e05faba683b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:12:37.712372Z","signature_b64":"ij5K0pFrFASmsoPYNnbMtvDK+rLHGpMvoj81GIVxDW8xnKlRidillhntx8qEVNwIjtwh/m7CoWz/vBwFK6J7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e80be3f2a52c71e56dcef5cae537ac3ac068ac1546419657089b4e05faba683b","last_reissued_at":"2026-07-05T06:12:37.711893Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:12:37.711893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.03138","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":"2026-07-05T06:12:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AFj9er61pmTCtm7u9g1K5IZdAXc4aDZp3GKb/4TA5XosfHsJ0GSqxyc7B2GCkqT3M1v/0fYyS8+BdqhfxUwFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T15:34:21.807468Z"},"content_sha256":"fe541efbfb9e5a9e5d0892ca59b0d50316ec7d32406f037d06577f7b2d8492e4","schema_version":"1.0","event_id":"sha256:fe541efbfb9e5a9e5d0892ca59b0d50316ec7d32406f037d06577f7b2d8492e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:5AF6H4VFFRY6K3OO6XFOKN5MHL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partition function approach to non-Gaussian likelihoods: Formalism and expansions for weakly non-Gaussian cosmological inference","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"astro-ph.CO","authors_text":"Bj\\\"orn Malte Sch\\\"afer, Lea Carlotta Bartels, Lennart R\\\"over","submitted_at":"2022-10-06T18:00:44Z","abstract_excerpt":"Non-Gaussian likelihoods, ubiquitous throughout cosmology, are a direct consequence of nonlinearities in the physical model. Their treatment requires Monte-Carlo Markov-chain or more advanced sampling methods for the determination of confidence contours. As an alternative, we construct canonical partition functions as Laplace-transforms of the Bayesian evidence, from which MCMC-methods would sample microstates. Cumulants of order $n$ of the posterior distribution follow by direct $n$-fold differentiation of the logarithmic partition function, recovering the classic Fisher-matrix formalism at s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.03138","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/2210.03138/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":"2026-07-05T06:12:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z21uPiFh/wwxoQiGpVf65r/8Y67RTDEcNx4LAAUD+joVUl+t3hmOufKrvCo7hIrkrwCwTOmIOshlTA5YLm3DCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T15:34:21.808731Z"},"content_sha256":"f199dbfdc4004ef840f8eb8f9aeca91382bf4a15d63e648f3a55fe1c79905bdb","schema_version":"1.0","event_id":"sha256:f199dbfdc4004ef840f8eb8f9aeca91382bf4a15d63e648f3a55fe1c79905bdb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5AF6H4VFFRY6K3OO6XFOKN5MHL/bundle.json","state_url":"https://pith.science/pith/5AF6H4VFFRY6K3OO6XFOKN5MHL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5AF6H4VFFRY6K3OO6XFOKN5MHL/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":"2026-08-13T15:34:21Z","links":{"resolver":"https://pith.science/pith/5AF6H4VFFRY6K3OO6XFOKN5MHL","bundle":"https://pith.science/pith/5AF6H4VFFRY6K3OO6XFOKN5MHL/bundle.json","state":"https://pith.science/pith/5AF6H4VFFRY6K3OO6XFOKN5MHL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5AF6H4VFFRY6K3OO6XFOKN5MHL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5AF6H4VFFRY6K3OO6XFOKN5MHL","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":"02a28a6ea02d021832d1bd4fdd99d6b4a4502c756c4e275343c9ec8d03a2baf0","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-10-06T18:00:44Z","title_canon_sha256":"af230a3c5830e967be7a4644cbf252808c92ad0ba9f44baa4527de294adbf57b"},"schema_version":"1.0","source":{"id":"2210.03138","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.03138","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"arxiv_version","alias_value":"2210.03138v2","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.03138","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"pith_short_12","alias_value":"5AF6H4VFFRY6","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"pith_short_16","alias_value":"5AF6H4VFFRY6K3OO","created_at":"2026-07-05T06:12:37Z"},{"alias_kind":"pith_short_8","alias_value":"5AF6H4VF","created_at":"2026-07-05T06:12:37Z"}],"graph_snapshots":[{"event_id":"sha256:f199dbfdc4004ef840f8eb8f9aeca91382bf4a15d63e648f3a55fe1c79905bdb","target":"graph","created_at":"2026-07-05T06:12:37Z","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/2210.03138/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Non-Gaussian likelihoods, ubiquitous throughout cosmology, are a direct consequence of nonlinearities in the physical model. Their treatment requires Monte-Carlo Markov-chain or more advanced sampling methods for the determination of confidence contours. As an alternative, we construct canonical partition functions as Laplace-transforms of the Bayesian evidence, from which MCMC-methods would sample microstates. Cumulants of order $n$ of the posterior distribution follow by direct $n$-fold differentiation of the logarithmic partition function, recovering the classic Fisher-matrix formalism at s","authors_text":"Bj\\\"orn Malte Sch\\\"afer, Lea Carlotta Bartels, Lennart R\\\"over","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-10-06T18:00:44Z","title":"Partition function approach to non-Gaussian likelihoods: Formalism and expansions for weakly non-Gaussian cosmological inference"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.03138","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:fe541efbfb9e5a9e5d0892ca59b0d50316ec7d32406f037d06577f7b2d8492e4","target":"record","created_at":"2026-07-05T06:12:37Z","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":"02a28a6ea02d021832d1bd4fdd99d6b4a4502c756c4e275343c9ec8d03a2baf0","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-10-06T18:00:44Z","title_canon_sha256":"af230a3c5830e967be7a4644cbf252808c92ad0ba9f44baa4527de294adbf57b"},"schema_version":"1.0","source":{"id":"2210.03138","kind":"arxiv","version":2}},"canonical_sha256":"e80be3f2a52c71e56dcef5cae537ac3ac068ac1546419657089b4e05faba683b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e80be3f2a52c71e56dcef5cae537ac3ac068ac1546419657089b4e05faba683b","first_computed_at":"2026-07-05T06:12:37.711893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:12:37.711893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ij5K0pFrFASmsoPYNnbMtvDK+rLHGpMvoj81GIVxDW8xnKlRidillhntx8qEVNwIjtwh/m7CoWz/vBwFK6J7Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:12:37.712372Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.03138","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe541efbfb9e5a9e5d0892ca59b0d50316ec7d32406f037d06577f7b2d8492e4","sha256:f199dbfdc4004ef840f8eb8f9aeca91382bf4a15d63e648f3a55fe1c79905bdb"],"state_sha256":"a780603a0fa136db2c52c34fb30b2de03e032e8cb4e1ab77719d29721afabf68"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jifR9FcFeRE1JbT00+GeivwGKM40TNKXm51oNLciVLDVmjcX3fAavt2PqISxcxgwyb8QN1VV726y3SF/4FjJCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T15:34:21.844421Z","bundle_sha256":"4f38b6e674e258c2139ca19119ae6b00b72b16b7b241f59be1ab806ea2c9e624"}}