{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:BFHKLRDAQCZUKEYFDH5SN7FSF4","short_pith_number":"pith:BFHKLRDA","canonical_record":{"source":{"id":"1003.0481","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-03-02T14:08:13Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"25e16d68b04bc0a685b67f83c57439eaf9a2b8d1901d02c449d74bd538f2e58d","abstract_canon_sha256":"4a56f1a823eecbea429bdcf126de2de90c4112aca23c8cdebb421f8fad91da99"},"schema_version":"1.0"},"canonical_sha256":"094ea5c46080b345130519fb26fcb22f30522085a5c366b959b2a2a29c19893c","source":{"kind":"arxiv","id":"1003.0481","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.0481","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"1003.0481v2","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.0481","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"BFHKLRDAQCZU","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_16","alias_value":"BFHKLRDAQCZUKEYF","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_8","alias_value":"BFHKLRDA","created_at":"2026-07-04T17:31:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:BFHKLRDAQCZUKEYFDH5SN7FSF4","target":"record","payload":{"canonical_record":{"source":{"id":"1003.0481","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-03-02T14:08:13Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"25e16d68b04bc0a685b67f83c57439eaf9a2b8d1901d02c449d74bd538f2e58d","abstract_canon_sha256":"4a56f1a823eecbea429bdcf126de2de90c4112aca23c8cdebb421f8fad91da99"},"schema_version":"1.0"},"canonical_sha256":"094ea5c46080b345130519fb26fcb22f30522085a5c366b959b2a2a29c19893c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:31:36.755532Z","signature_b64":"FhqCowFaMVl/6ELoUeJ4rqRDcKcsjjgKnDN0U2RBK4OXlX8fj/8E446URfYL/aFIhC4fDD+egFMVQpEtyNJbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"094ea5c46080b345130519fb26fcb22f30522085a5c366b959b2a2a29c19893c","last_reissued_at":"2026-07-04T17:31:36.755092Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:31:36.755092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.0481","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":"2026-07-04T17:31:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vcFkMRUdJo/XVRdLfxuVbWKEwucqHDC/NJyYZYsaTVJBF+f22EtO0OtQDQuQWZFGMDRaMo9zuftAL58/lQV5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:54:13.109684Z"},"content_sha256":"f064244ef13568025f587dd558c6688dbf13894ccd6deb22197b9ed6f5645fde","schema_version":"1.0","event_id":"sha256:f064244ef13568025f587dd558c6688dbf13894ccd6deb22197b9ed6f5645fde"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:BFHKLRDAQCZUKEYFDH5SN7FSF4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Cyril Pitrou, Francis Bernardeau, Jean-Philippe Uzan","submitted_at":"2010-03-02T14:08:13Z","abstract_excerpt":"This article presents the first computation of the complete bispectrum of the cosmic microwave background temperature anisotropies arising from the evolution of all cosmic fluids up to second order, including neutrinos. Gravitational couplings, electron density fluctuations and the second order Boltzmann equation are fully taken into account. Comparison to limiting cases that appeared previously in the literature are provided. These are regimes for which analytical insights can be given. The final results are expressed in terms of equivalent fNL for different configurations. It is found that f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0481","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/1003.0481/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":"2026-07-04T17:31:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DMLmvVf2UtP1MERqBePAEqazEDBzWRCcbwCFlbINAnZZjvL+4Z1HndcfdWfJi0GcnaaGmFZCBjerOaaA0nL+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:54:13.110213Z"},"content_sha256":"1ecd2e6ee70885cc5c5e056369a96ede2d0cda13ca2046eaeb4c58df537a247d","schema_version":"1.0","event_id":"sha256:1ecd2e6ee70885cc5c5e056369a96ede2d0cda13ca2046eaeb4c58df537a247d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BFHKLRDAQCZUKEYFDH5SN7FSF4/bundle.json","state_url":"https://pith.science/pith/BFHKLRDAQCZUKEYFDH5SN7FSF4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BFHKLRDAQCZUKEYFDH5SN7FSF4/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":"2026-08-04T01:54:13Z","links":{"resolver":"https://pith.science/pith/BFHKLRDAQCZUKEYFDH5SN7FSF4","bundle":"https://pith.science/pith/BFHKLRDAQCZUKEYFDH5SN7FSF4/bundle.json","state":"https://pith.science/pith/BFHKLRDAQCZUKEYFDH5SN7FSF4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BFHKLRDAQCZUKEYFDH5SN7FSF4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:BFHKLRDAQCZUKEYFDH5SN7FSF4","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":"4a56f1a823eecbea429bdcf126de2de90c4112aca23c8cdebb421f8fad91da99","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-03-02T14:08:13Z","title_canon_sha256":"25e16d68b04bc0a685b67f83c57439eaf9a2b8d1901d02c449d74bd538f2e58d"},"schema_version":"1.0","source":{"id":"1003.0481","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.0481","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"arxiv_version","alias_value":"1003.0481v2","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.0481","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_12","alias_value":"BFHKLRDAQCZU","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_16","alias_value":"BFHKLRDAQCZUKEYF","created_at":"2026-07-04T17:31:36Z"},{"alias_kind":"pith_short_8","alias_value":"BFHKLRDA","created_at":"2026-07-04T17:31:36Z"}],"graph_snapshots":[{"event_id":"sha256:1ecd2e6ee70885cc5c5e056369a96ede2d0cda13ca2046eaeb4c58df537a247d","target":"graph","created_at":"2026-07-04T17:31:36Z","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/1003.0481/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article presents the first computation of the complete bispectrum of the cosmic microwave background temperature anisotropies arising from the evolution of all cosmic fluids up to second order, including neutrinos. Gravitational couplings, electron density fluctuations and the second order Boltzmann equation are fully taken into account. Comparison to limiting cases that appeared previously in the literature are provided. These are regimes for which analytical insights can be given. The final results are expressed in terms of equivalent fNL for different configurations. It is found that f","authors_text":"Cyril Pitrou, Francis Bernardeau, Jean-Philippe Uzan","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-03-02T14:08:13Z","title":"The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0481","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:f064244ef13568025f587dd558c6688dbf13894ccd6deb22197b9ed6f5645fde","target":"record","created_at":"2026-07-04T17:31:36Z","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":"4a56f1a823eecbea429bdcf126de2de90c4112aca23c8cdebb421f8fad91da99","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-03-02T14:08:13Z","title_canon_sha256":"25e16d68b04bc0a685b67f83c57439eaf9a2b8d1901d02c449d74bd538f2e58d"},"schema_version":"1.0","source":{"id":"1003.0481","kind":"arxiv","version":2}},"canonical_sha256":"094ea5c46080b345130519fb26fcb22f30522085a5c366b959b2a2a29c19893c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"094ea5c46080b345130519fb26fcb22f30522085a5c366b959b2a2a29c19893c","first_computed_at":"2026-07-04T17:31:36.755092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:31:36.755092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FhqCowFaMVl/6ELoUeJ4rqRDcKcsjjgKnDN0U2RBK4OXlX8fj/8E446URfYL/aFIhC4fDD+egFMVQpEtyNJbAw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:31:36.755532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.0481","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f064244ef13568025f587dd558c6688dbf13894ccd6deb22197b9ed6f5645fde","sha256:1ecd2e6ee70885cc5c5e056369a96ede2d0cda13ca2046eaeb4c58df537a247d"],"state_sha256":"1bdcce763c0595445c3fc5258e9c0613ac65282c64380a06e11c713f1ad672e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qBWttAPxwp6Ko/wfTO/BCJxFgTIqZXvQcsIsmc6eBSmuk12j9DqH41/91HLiFY10doCRH0uvl9GEMCgekeDAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:54:13.115282Z","bundle_sha256":"b57b60172b875d7e2b2b382b3275d6641ec70390398b4412d0d6d708656fd047"}}