{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:KOE2TA3DVEVKUUFKY65LLSS2LI","short_pith_number":"pith:KOE2TA3D","schema_version":"1.0","canonical_sha256":"5389a98363a92aaa50aac7bab5ca5a5a1d7ecbc2bc827d14573cb2e31a70757a","source":{"kind":"arxiv","id":"2210.09327","version":1},"attestation_state":"computed","paper":{"title":"Spectro-spatial evolution of the CMB I: discretisation of the thermalisation Green's function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Andrea Ravenni, Jens Chluba, Thomas Kite","submitted_at":"2022-10-17T18:00:05Z","abstract_excerpt":"Spectral distortions of the cosmic microwave background (CMB) have been recognized as an important future probe of the early Universe. Existing theoretical studies primarily focused on describing the evolution and creation of average distortions, ignoring spatial perturbations in the plasma. One of the main reasons for this choice is that a treatment of the spectro-spatial evolution of the photon field deep into the primordial Universe requires solving a radiative transfer problem for the distortion signals, which in full detail is computationally challenging. Here we provide the first crucial"},"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":"2210.09327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-10-17T18:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"590d4d8a79410702fbcdfb2bafc0a1e4a0c0023e9ea63a8e50a1d6e4bf0ade1c","abstract_canon_sha256":"8a88197b2f73ec809b9729d8daa03225ddb592c25472521e982e32804af01f76"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:07:23.341404Z","signature_b64":"dfXx+/Ak2JE5Bm2VTItz/3fwoi7miyx52ktRxecruswyGIYmliTx5HSUt4Zdp1tA+8z3C188ff+8HlO8yHCmCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5389a98363a92aaa50aac7bab5ca5a5a1d7ecbc2bc827d14573cb2e31a70757a","last_reissued_at":"2026-07-05T05:07:23.340879Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:07:23.340879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectro-spatial evolution of the CMB I: discretisation of the thermalisation Green's function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Andrea Ravenni, Jens Chluba, Thomas Kite","submitted_at":"2022-10-17T18:00:05Z","abstract_excerpt":"Spectral distortions of the cosmic microwave background (CMB) have been recognized as an important future probe of the early Universe. Existing theoretical studies primarily focused on describing the evolution and creation of average distortions, ignoring spatial perturbations in the plasma. One of the main reasons for this choice is that a treatment of the spectro-spatial evolution of the photon field deep into the primordial Universe requires solving a radiative transfer problem for the distortion signals, which in full detail is computationally challenging. Here we provide the first crucial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.09327","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.09327/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2210.09327","created_at":"2026-07-05T05:07:23.340954+00:00"},{"alias_kind":"arxiv_version","alias_value":"2210.09327v1","created_at":"2026-07-05T05:07:23.340954+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.09327","created_at":"2026-07-05T05:07:23.340954+00:00"},{"alias_kind":"pith_short_12","alias_value":"KOE2TA3DVEVK","created_at":"2026-07-05T05:07:23.340954+00:00"},{"alias_kind":"pith_short_16","alias_value":"KOE2TA3DVEVKUUFK","created_at":"2026-07-05T05:07:23.340954+00:00"},{"alias_kind":"pith_short_8","alias_value":"KOE2TA3D","created_at":"2026-07-05T05:07:23.340954+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KOE2TA3DVEVKUUFKY65LLSS2LI","json":"https://pith.science/pith/KOE2TA3DVEVKUUFKY65LLSS2LI.json","graph_json":"https://pith.science/api/pith-number/KOE2TA3DVEVKUUFKY65LLSS2LI/graph.json","events_json":"https://pith.science/api/pith-number/KOE2TA3DVEVKUUFKY65LLSS2LI/events.json","paper":"https://pith.science/paper/KOE2TA3D"},"agent_actions":{"view_html":"https://pith.science/pith/KOE2TA3DVEVKUUFKY65LLSS2LI","download_json":"https://pith.science/pith/KOE2TA3DVEVKUUFKY65LLSS2LI.json","view_paper":"https://pith.science/paper/KOE2TA3D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2210.09327&json=true","fetch_graph":"https://pith.science/api/pith-number/KOE2TA3DVEVKUUFKY65LLSS2LI/graph.json","fetch_events":"https://pith.science/api/pith-number/KOE2TA3DVEVKUUFKY65LLSS2LI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KOE2TA3DVEVKUUFKY65LLSS2LI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KOE2TA3DVEVKUUFKY65LLSS2LI/action/storage_attestation","attest_author":"https://pith.science/pith/KOE2TA3DVEVKUUFKY65LLSS2LI/action/author_attestation","sign_citation":"https://pith.science/pith/KOE2TA3DVEVKUUFKY65LLSS2LI/action/citation_signature","submit_replication":"https://pith.science/pith/KOE2TA3DVEVKUUFKY65LLSS2LI/action/replication_record"}},"created_at":"2026-07-05T05:07:23.340954+00:00","updated_at":"2026-07-05T05:07:23.340954+00:00"}