{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:B3SB5LIJN7U5JE4DFJUWJ3O5VG","short_pith_number":"pith:B3SB5LIJ","schema_version":"1.0","canonical_sha256":"0ee41ead096fe9d493832a6964eddda9883654b41cb910eafddbeae14ec47202","source":{"kind":"arxiv","id":"2507.01399","version":1},"attestation_state":"computed","paper":{"title":"Reconstruction of the observable universe from the integrated Sachs-Wolfe effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.MP","math.NA"],"primary_cat":"math-ph","authors_text":"Julianne Chung, Yiran Wang","submitted_at":"2025-07-02T06:30:21Z","abstract_excerpt":"The integrated Sachs-Wolfe (ISW) effect is a property of the Cosmic Microwave Background (CMB), in which photons from the CMB are gravitationally redshifted, causing the anisotropies in the CMB. An intriguing question is whether one can infer the gravitational perturbations from the ISW effect observed near the Earth. In this work, we address the question using a tomographic reconstruction approach, similar to X-ray CT reconstruction in medical imaging. We develop the mathematical analysis for the stable inversion of the X-ray transform in the cosmological setting. In addition, we provide a nu"},"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":"2507.01399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-07-02T06:30:21Z","cross_cats_sorted":["cs.NA","math.MP","math.NA"],"title_canon_sha256":"301a0d5e6b998376f81b8dc8d57ae236991176b2bbfa38f808882473978f202a","abstract_canon_sha256":"0f6657714792ec5f768445d7fd5dba6a66769ea51820715cbbc911f5448d82d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:30:48.032887Z","signature_b64":"em7ZUr4pL7ujmCNrdcErEh+conIhicwhbVQBJsVOmU7ZrrzTaguSoJ5CKS/kj4c1NxFk9wYVIswaO0UEl0xpCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ee41ead096fe9d493832a6964eddda9883654b41cb910eafddbeae14ec47202","last_reissued_at":"2026-07-05T11:30:48.032405Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:30:48.032405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reconstruction of the observable universe from the integrated Sachs-Wolfe effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.MP","math.NA"],"primary_cat":"math-ph","authors_text":"Julianne Chung, Yiran Wang","submitted_at":"2025-07-02T06:30:21Z","abstract_excerpt":"The integrated Sachs-Wolfe (ISW) effect is a property of the Cosmic Microwave Background (CMB), in which photons from the CMB are gravitationally redshifted, causing the anisotropies in the CMB. An intriguing question is whether one can infer the gravitational perturbations from the ISW effect observed near the Earth. In this work, we address the question using a tomographic reconstruction approach, similar to X-ray CT reconstruction in medical imaging. We develop the mathematical analysis for the stable inversion of the X-ray transform in the cosmological setting. In addition, we provide a nu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.01399","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/2507.01399/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":"2507.01399","created_at":"2026-07-05T11:30:48.032462+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.01399v1","created_at":"2026-07-05T11:30:48.032462+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.01399","created_at":"2026-07-05T11:30:48.032462+00:00"},{"alias_kind":"pith_short_12","alias_value":"B3SB5LIJN7U5","created_at":"2026-07-05T11:30:48.032462+00:00"},{"alias_kind":"pith_short_16","alias_value":"B3SB5LIJN7U5JE4D","created_at":"2026-07-05T11:30:48.032462+00:00"},{"alias_kind":"pith_short_8","alias_value":"B3SB5LIJ","created_at":"2026-07-05T11:30:48.032462+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/B3SB5LIJN7U5JE4DFJUWJ3O5VG","json":"https://pith.science/pith/B3SB5LIJN7U5JE4DFJUWJ3O5VG.json","graph_json":"https://pith.science/api/pith-number/B3SB5LIJN7U5JE4DFJUWJ3O5VG/graph.json","events_json":"https://pith.science/api/pith-number/B3SB5LIJN7U5JE4DFJUWJ3O5VG/events.json","paper":"https://pith.science/paper/B3SB5LIJ"},"agent_actions":{"view_html":"https://pith.science/pith/B3SB5LIJN7U5JE4DFJUWJ3O5VG","download_json":"https://pith.science/pith/B3SB5LIJN7U5JE4DFJUWJ3O5VG.json","view_paper":"https://pith.science/paper/B3SB5LIJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.01399&json=true","fetch_graph":"https://pith.science/api/pith-number/B3SB5LIJN7U5JE4DFJUWJ3O5VG/graph.json","fetch_events":"https://pith.science/api/pith-number/B3SB5LIJN7U5JE4DFJUWJ3O5VG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B3SB5LIJN7U5JE4DFJUWJ3O5VG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B3SB5LIJN7U5JE4DFJUWJ3O5VG/action/storage_attestation","attest_author":"https://pith.science/pith/B3SB5LIJN7U5JE4DFJUWJ3O5VG/action/author_attestation","sign_citation":"https://pith.science/pith/B3SB5LIJN7U5JE4DFJUWJ3O5VG/action/citation_signature","submit_replication":"https://pith.science/pith/B3SB5LIJN7U5JE4DFJUWJ3O5VG/action/replication_record"}},"created_at":"2026-07-05T11:30:48.032462+00:00","updated_at":"2026-07-05T11:30:48.032462+00:00"}