{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2UUTP345HOGUOJSAW5CH4PG7E2","short_pith_number":"pith:2UUTP345","canonical_record":{"source":{"id":"1009.4697","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-09-23T20:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"c58e452d995272c1485156150f28456f9716db1f8289aeb8f492afcfaa5a8943","abstract_canon_sha256":"13f598db202e7e3ae56b9907891d1764e75023dd68942956cf0d40146e94455d"},"schema_version":"1.0"},"canonical_sha256":"d52937ef9d3b8d472640b7447e3cdf26b476fc18eb8f486cbc791593fc008c76","source":{"kind":"arxiv","id":"1009.4697","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4697","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4697v1","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4697","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"pith_short_12","alias_value":"2UUTP345HOGU","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2UUTP345HOGUOJSA","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2UUTP345","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2UUTP345HOGUOJSAW5CH4PG7E2","target":"record","payload":{"canonical_record":{"source":{"id":"1009.4697","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-09-23T20:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"c58e452d995272c1485156150f28456f9716db1f8289aeb8f492afcfaa5a8943","abstract_canon_sha256":"13f598db202e7e3ae56b9907891d1764e75023dd68942956cf0d40146e94455d"},"schema_version":"1.0"},"canonical_sha256":"d52937ef9d3b8d472640b7447e3cdf26b476fc18eb8f486cbc791593fc008c76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:35.999357Z","signature_b64":"RG+7ISt+jxDwXFf9c/H8ubwr4Kbpsp3Pu+KhOI2rpuu2tOrRoFbzsYJ7yNCHtTsNJMvqTvQjZ3ZUSZuK11WCBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d52937ef9d3b8d472640b7447e3cdf26b476fc18eb8f486cbc791593fc008c76","last_reissued_at":"2026-05-18T04:32:35.998826Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:35.998826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.4697","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:32:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+9gIjAFFjVt+hYZjzOds1RqOo7HOBUQW5xy68VsckyBs7mk/IrtIx+1YN5ZfZ6xFoArLCpcbLZ0P66ynEMvWCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:01:33.354668Z"},"content_sha256":"9de6917cc299a0af14ea3a7a71c6e7bd1f4b757301f704aa319040fbd5a29ba4","schema_version":"1.0","event_id":"sha256:9de6917cc299a0af14ea3a7a71c6e7bd1f4b757301f704aa319040fbd5a29ba4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2UUTP345HOGUOJSAW5CH4PG7E2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radiative transfer effects in primordial hydrogen recombination","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Christopher M. Hirata, Daniel Grin, Yacine Ali-Ha\\\"imoud","submitted_at":"2010-09-23T20:00:02Z","abstract_excerpt":"The calculation of a highly accurate cosmological recombination history has been the object of particular attention recently, as it constitutes the major theoretical uncertainty when predicting the angular power spectrum of Cosmic Microwave Background anisotropies. Lyman transitions, in particular the Lyman-alpha line, have long been recognized as one of the bottlenecks of recombination, due to their very low escape probabilities. The Sobolev approximation does not describe radiative transfer in the vicinity of Lyman lines to a sufficient degree of accuracy, and several corrections have alread"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4697","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T04:32:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qwr9venP+PVuNOgdsSlTx3Ynrnw2dV4NUAfbpiewaHykoiZRZW8E7YLmLlXAc4vte4YfBFsyzS+L7G4eCyxtDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:01:33.355086Z"},"content_sha256":"9eb7c0f046f892f9761de4886b213f30aeadd3dd18c970b425f60669e8782a8a","schema_version":"1.0","event_id":"sha256:9eb7c0f046f892f9761de4886b213f30aeadd3dd18c970b425f60669e8782a8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2UUTP345HOGUOJSAW5CH4PG7E2/bundle.json","state_url":"https://pith.science/pith/2UUTP345HOGUOJSAW5CH4PG7E2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2UUTP345HOGUOJSAW5CH4PG7E2/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":"2026-05-25T19:01:33Z","links":{"resolver":"https://pith.science/pith/2UUTP345HOGUOJSAW5CH4PG7E2","bundle":"https://pith.science/pith/2UUTP345HOGUOJSAW5CH4PG7E2/bundle.json","state":"https://pith.science/pith/2UUTP345HOGUOJSAW5CH4PG7E2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2UUTP345HOGUOJSAW5CH4PG7E2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2UUTP345HOGUOJSAW5CH4PG7E2","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":"13f598db202e7e3ae56b9907891d1764e75023dd68942956cf0d40146e94455d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-09-23T20:00:02Z","title_canon_sha256":"c58e452d995272c1485156150f28456f9716db1f8289aeb8f492afcfaa5a8943"},"schema_version":"1.0","source":{"id":"1009.4697","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4697","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4697v1","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4697","created_at":"2026-05-18T04:32:35Z"},{"alias_kind":"pith_short_12","alias_value":"2UUTP345HOGU","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2UUTP345HOGUOJSA","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2UUTP345","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:9eb7c0f046f892f9761de4886b213f30aeadd3dd18c970b425f60669e8782a8a","target":"graph","created_at":"2026-05-18T04:32:35Z","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"},"paper":{"abstract_excerpt":"The calculation of a highly accurate cosmological recombination history has been the object of particular attention recently, as it constitutes the major theoretical uncertainty when predicting the angular power spectrum of Cosmic Microwave Background anisotropies. Lyman transitions, in particular the Lyman-alpha line, have long been recognized as one of the bottlenecks of recombination, due to their very low escape probabilities. The Sobolev approximation does not describe radiative transfer in the vicinity of Lyman lines to a sufficient degree of accuracy, and several corrections have alread","authors_text":"Christopher M. Hirata, Daniel Grin, Yacine Ali-Ha\\\"imoud","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-09-23T20:00:02Z","title":"Radiative transfer effects in primordial hydrogen recombination"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4697","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":"sha256:9de6917cc299a0af14ea3a7a71c6e7bd1f4b757301f704aa319040fbd5a29ba4","target":"record","created_at":"2026-05-18T04:32:35Z","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":"13f598db202e7e3ae56b9907891d1764e75023dd68942956cf0d40146e94455d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-09-23T20:00:02Z","title_canon_sha256":"c58e452d995272c1485156150f28456f9716db1f8289aeb8f492afcfaa5a8943"},"schema_version":"1.0","source":{"id":"1009.4697","kind":"arxiv","version":1}},"canonical_sha256":"d52937ef9d3b8d472640b7447e3cdf26b476fc18eb8f486cbc791593fc008c76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d52937ef9d3b8d472640b7447e3cdf26b476fc18eb8f486cbc791593fc008c76","first_computed_at":"2026-05-18T04:32:35.998826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:35.998826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RG+7ISt+jxDwXFf9c/H8ubwr4Kbpsp3Pu+KhOI2rpuu2tOrRoFbzsYJ7yNCHtTsNJMvqTvQjZ3ZUSZuK11WCBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:35.999357Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4697","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9de6917cc299a0af14ea3a7a71c6e7bd1f4b757301f704aa319040fbd5a29ba4","sha256:9eb7c0f046f892f9761de4886b213f30aeadd3dd18c970b425f60669e8782a8a"],"state_sha256":"20c816e7249088aa8feb0028312220bef6b25e18b68c371e790faf581704230d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QuhyEHdhytsg/C/DQH5mnLE1l7L2SYLEJhxJhqgqSHoZmblFczacyF3P+5YNzM1yCDHaAMJxL3dc4tkooebSAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:01:33.357970Z","bundle_sha256":"c86d769594246c63cb049056e7c26df5ac756113e2412b487e9765313edcb347"}}