{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:FN6ULCTTC4TDSTONJTST7NPFV6","short_pith_number":"pith:FN6ULCTT","schema_version":"1.0","canonical_sha256":"2b7d458a731726394dcd4ce53fb5e5afa7764cb5ccb0f0a4f304ac4dce26ea38","source":{"kind":"arxiv","id":"1006.1355","version":2},"attestation_state":"computed","paper":{"title":"Ultrafast effective multi-level atom method for 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, Yacine Ali-Ha\\\"imoud","submitted_at":"2010-06-07T20:00:02Z","abstract_excerpt":"Cosmological hydrogen recombination has recently been the subject of renewed attention because of its importance for predicting the power spectrum of cosmic microwave background anisotropies. It has become clear that it is necessary to account for a large number n >~ 100 of energy shells of the hydrogen atom, separately following the angular momentum substates in order to obtain sufficiently accurate recombination histories. However, the multi-level atom codes that follow the populations of all these levels are computationally expensive, limiting recent analyses to only a few points in paramet"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1006.1355","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-06-07T20:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"e360194cd96fd4052baef3927e5133a0fea6a6779a67440cfc28ea157e60ba0e","abstract_canon_sha256":"628981e93e9199d9a1ab78b37d9a23732625b7c5cfd89cac202445799b4ddbb9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:17.751509Z","signature_b64":"RP1RgSUO5JrHje5/EJEN20zWtXFg8ccbUgOO+KQFjIxw7RSXIre+mo4Jtu+4VC6FkPKXTCqgcPz2m+ARc4crBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b7d458a731726394dcd4ce53fb5e5afa7764cb5ccb0f0a4f304ac4dce26ea38","last_reissued_at":"2026-05-18T02:33:17.750983Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:17.750983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ultrafast effective multi-level atom method for 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, Yacine Ali-Ha\\\"imoud","submitted_at":"2010-06-07T20:00:02Z","abstract_excerpt":"Cosmological hydrogen recombination has recently been the subject of renewed attention because of its importance for predicting the power spectrum of cosmic microwave background anisotropies. It has become clear that it is necessary to account for a large number n >~ 100 of energy shells of the hydrogen atom, separately following the angular momentum substates in order to obtain sufficiently accurate recombination histories. However, the multi-level atom codes that follow the populations of all these levels are computationally expensive, limiting recent analyses to only a few points in paramet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1355","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1006.1355","created_at":"2026-05-18T02:33:17.751081+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.1355v2","created_at":"2026-05-18T02:33:17.751081+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1355","created_at":"2026-05-18T02:33:17.751081+00:00"},{"alias_kind":"pith_short_12","alias_value":"FN6ULCTTC4TD","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"FN6ULCTTC4TDSTON","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"FN6ULCTT","created_at":"2026-05-18T12:26:07.630475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1907.06485","citing_title":"CMB constraints on ultra-light primordial black holes with extended mass distributions","ref_index":41,"is_internal_anchor":true},{"citing_arxiv_id":"1807.06209","citing_title":"Planck 2018 results. VI. Cosmological parameters","ref_index":17,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FN6ULCTTC4TDSTONJTST7NPFV6","json":"https://pith.science/pith/FN6ULCTTC4TDSTONJTST7NPFV6.json","graph_json":"https://pith.science/api/pith-number/FN6ULCTTC4TDSTONJTST7NPFV6/graph.json","events_json":"https://pith.science/api/pith-number/FN6ULCTTC4TDSTONJTST7NPFV6/events.json","paper":"https://pith.science/paper/FN6ULCTT"},"agent_actions":{"view_html":"https://pith.science/pith/FN6ULCTTC4TDSTONJTST7NPFV6","download_json":"https://pith.science/pith/FN6ULCTTC4TDSTONJTST7NPFV6.json","view_paper":"https://pith.science/paper/FN6ULCTT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.1355&json=true","fetch_graph":"https://pith.science/api/pith-number/FN6ULCTTC4TDSTONJTST7NPFV6/graph.json","fetch_events":"https://pith.science/api/pith-number/FN6ULCTTC4TDSTONJTST7NPFV6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FN6ULCTTC4TDSTONJTST7NPFV6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FN6ULCTTC4TDSTONJTST7NPFV6/action/storage_attestation","attest_author":"https://pith.science/pith/FN6ULCTTC4TDSTONJTST7NPFV6/action/author_attestation","sign_citation":"https://pith.science/pith/FN6ULCTTC4TDSTONJTST7NPFV6/action/citation_signature","submit_replication":"https://pith.science/pith/FN6ULCTTC4TDSTONJTST7NPFV6/action/replication_record"}},"created_at":"2026-05-18T02:33:17.751081+00:00","updated_at":"2026-05-18T02:33:17.751081+00:00"}