{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:K2HKBWLH3X3UDVUW7JBPDTK7L6","short_pith_number":"pith:K2HKBWLH","schema_version":"1.0","canonical_sha256":"568ea0d967ddf741d696fa42f1cd5f5fa118e3afa3dc9528951375239c1d33fa","source":{"kind":"arxiv","id":"astro-ph/0109483","version":3},"attestation_state":"computed","paper":{"title":"A reconstruction of the initial conditions of the Universe by optimal mass transportation","license":"","headline":"","cross_cats":["cond-mat","math.OC","nlin.CD"],"primary_cat":"astro-ph","authors_text":"Andrei Sobolevski, Roya Mohayaee, Sabino Matarrese, Uriel Frisch","submitted_at":"2001-09-26T15:11:25Z","abstract_excerpt":"Reconstructing the density fluctuations in the early Universe that evolved into the distribution of galaxies we see today is a challenge of modern cosmology [ref.]. An accurate reconstruction would allow us to test cosmological models by simulating the evolution starting from the reconstructed state and comparing it to the observations. Several reconstruction techniques have been proposed [8 refs.], but they all suffer from lack of uniqueness because the velocities of galaxies are usually not known. Here we show that reconstruction can be reduced to a well-determined problem of optimisation, a"},"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":"astro-ph/0109483","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2001-09-26T15:11:25Z","cross_cats_sorted":["cond-mat","math.OC","nlin.CD"],"title_canon_sha256":"42748540535ea2601f0d83fd28cc7509a30c12f6e519790aeabda9aafb196abf","abstract_canon_sha256":"762bd683ac3a78a82ce342521e70b1752acff63a698282d559a969ee26cc0556"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:44.041135Z","signature_b64":"uFm9n2kom2aqDvsIFRv+HWXKFQoClWaH+Uffl+eixeovwgZ9c64upwUQkeb/z3TkLaJN9UTDNQe55SH0HzWWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"568ea0d967ddf741d696fa42f1cd5f5fa118e3afa3dc9528951375239c1d33fa","last_reissued_at":"2026-05-18T01:40:44.040448Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:44.040448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A reconstruction of the initial conditions of the Universe by optimal mass transportation","license":"","headline":"","cross_cats":["cond-mat","math.OC","nlin.CD"],"primary_cat":"astro-ph","authors_text":"Andrei Sobolevski, Roya Mohayaee, Sabino Matarrese, Uriel Frisch","submitted_at":"2001-09-26T15:11:25Z","abstract_excerpt":"Reconstructing the density fluctuations in the early Universe that evolved into the distribution of galaxies we see today is a challenge of modern cosmology [ref.]. An accurate reconstruction would allow us to test cosmological models by simulating the evolution starting from the reconstructed state and comparing it to the observations. Several reconstruction techniques have been proposed [8 refs.], but they all suffer from lack of uniqueness because the velocities of galaxies are usually not known. Here we show that reconstruction can be reduced to a well-determined problem of optimisation, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0109483","kind":"arxiv","version":3},"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":"astro-ph/0109483","created_at":"2026-05-18T01:40:44.040569+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0109483v3","created_at":"2026-05-18T01:40:44.040569+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0109483","created_at":"2026-05-18T01:40:44.040569+00:00"},{"alias_kind":"pith_short_12","alias_value":"K2HKBWLH3X3U","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"K2HKBWLH3X3UDVUW","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"K2HKBWLH","created_at":"2026-05-18T12:25:50.254431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.24823","citing_title":"A Measure-Theoretic Transport Formulation of Galaxy Evolution on the Galaxy Manifold: Geometric Constraints","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/K2HKBWLH3X3UDVUW7JBPDTK7L6","json":"https://pith.science/pith/K2HKBWLH3X3UDVUW7JBPDTK7L6.json","graph_json":"https://pith.science/api/pith-number/K2HKBWLH3X3UDVUW7JBPDTK7L6/graph.json","events_json":"https://pith.science/api/pith-number/K2HKBWLH3X3UDVUW7JBPDTK7L6/events.json","paper":"https://pith.science/paper/K2HKBWLH"},"agent_actions":{"view_html":"https://pith.science/pith/K2HKBWLH3X3UDVUW7JBPDTK7L6","download_json":"https://pith.science/pith/K2HKBWLH3X3UDVUW7JBPDTK7L6.json","view_paper":"https://pith.science/paper/K2HKBWLH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0109483&json=true","fetch_graph":"https://pith.science/api/pith-number/K2HKBWLH3X3UDVUW7JBPDTK7L6/graph.json","fetch_events":"https://pith.science/api/pith-number/K2HKBWLH3X3UDVUW7JBPDTK7L6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K2HKBWLH3X3UDVUW7JBPDTK7L6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K2HKBWLH3X3UDVUW7JBPDTK7L6/action/storage_attestation","attest_author":"https://pith.science/pith/K2HKBWLH3X3UDVUW7JBPDTK7L6/action/author_attestation","sign_citation":"https://pith.science/pith/K2HKBWLH3X3UDVUW7JBPDTK7L6/action/citation_signature","submit_replication":"https://pith.science/pith/K2HKBWLH3X3UDVUW7JBPDTK7L6/action/replication_record"}},"created_at":"2026-05-18T01:40:44.040569+00:00","updated_at":"2026-05-18T01:40:44.040569+00:00"}