{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:I2U4YH637MSGJ4YMDAMYDPX5SM","short_pith_number":"pith:I2U4YH63","schema_version":"1.0","canonical_sha256":"46a9cc1fdbfb2464f30c181981befd9303ff83521eee97c016d8d35daa0ee90f","source":{"kind":"arxiv","id":"gr-qc/9903009","version":1},"attestation_state":"computed","paper":{"title":"Isotropic cosmological singularities 2: The Einstein-Vlasov system","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"K. Anguige (Max Planck Institut fuer Gravitationsphysik, K. P. Tod (Mathematical Institute, Oxford), Potsdam)","submitted_at":"1999-03-02T12:28:53Z","abstract_excerpt":"We consider the conformal Einstein equations for massless collisionless gas cosmologies which admit an isotropic singularity. After developing the general theory, we restrict to spatially-homogeneous cosmologies. We show that the Cauchy problem for these equations is well-posed with data consisting of the limiting particle distribution function at the singularity."},"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":"gr-qc/9903009","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-03-02T12:28:53Z","cross_cats_sorted":[],"title_canon_sha256":"48556b98d728241e0a90d343e52d39131445d1da404ad5db5a21e650c5244bdf","abstract_canon_sha256":"190a7b26fb53ade81e733f1ebaaff42b431e7bcfec22e498bbeeec0ca7bf2d38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:13:49.639912Z","signature_b64":"fWoKIYdaT7xpyZRwJW5wdwoPkHAqdc1iGV9pbQA04rI71EUCBwygW4eOFYUFFayNpU6Q73Yocdlp6VKBscyCAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46a9cc1fdbfb2464f30c181981befd9303ff83521eee97c016d8d35daa0ee90f","last_reissued_at":"2026-07-04T16:13:49.639503Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:13:49.639503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Isotropic cosmological singularities 2: The Einstein-Vlasov system","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"K. Anguige (Max Planck Institut fuer Gravitationsphysik, K. P. Tod (Mathematical Institute, Oxford), Potsdam)","submitted_at":"1999-03-02T12:28:53Z","abstract_excerpt":"We consider the conformal Einstein equations for massless collisionless gas cosmologies which admit an isotropic singularity. After developing the general theory, we restrict to spatially-homogeneous cosmologies. We show that the Cauchy problem for these equations is well-posed with data consisting of the limiting particle distribution function at the singularity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9903009","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/gr-qc/9903009/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":"gr-qc/9903009","created_at":"2026-07-04T16:13:49.639564+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9903009v1","created_at":"2026-07-04T16:13:49.639564+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9903009","created_at":"2026-07-04T16:13:49.639564+00:00"},{"alias_kind":"pith_short_12","alias_value":"I2U4YH637MSG","created_at":"2026-07-04T16:13:49.639564+00:00"},{"alias_kind":"pith_short_16","alias_value":"I2U4YH637MSGJ4YM","created_at":"2026-07-04T16:13:49.639564+00:00"},{"alias_kind":"pith_short_8","alias_value":"I2U4YH63","created_at":"2026-07-04T16:13:49.639564+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.18128","citing_title":"The free boundary problem in general relativity","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I2U4YH637MSGJ4YMDAMYDPX5SM","json":"https://pith.science/pith/I2U4YH637MSGJ4YMDAMYDPX5SM.json","graph_json":"https://pith.science/api/pith-number/I2U4YH637MSGJ4YMDAMYDPX5SM/graph.json","events_json":"https://pith.science/api/pith-number/I2U4YH637MSGJ4YMDAMYDPX5SM/events.json","paper":"https://pith.science/paper/I2U4YH63"},"agent_actions":{"view_html":"https://pith.science/pith/I2U4YH637MSGJ4YMDAMYDPX5SM","download_json":"https://pith.science/pith/I2U4YH637MSGJ4YMDAMYDPX5SM.json","view_paper":"https://pith.science/paper/I2U4YH63","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9903009&json=true","fetch_graph":"https://pith.science/api/pith-number/I2U4YH637MSGJ4YMDAMYDPX5SM/graph.json","fetch_events":"https://pith.science/api/pith-number/I2U4YH637MSGJ4YMDAMYDPX5SM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I2U4YH637MSGJ4YMDAMYDPX5SM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I2U4YH637MSGJ4YMDAMYDPX5SM/action/storage_attestation","attest_author":"https://pith.science/pith/I2U4YH637MSGJ4YMDAMYDPX5SM/action/author_attestation","sign_citation":"https://pith.science/pith/I2U4YH637MSGJ4YMDAMYDPX5SM/action/citation_signature","submit_replication":"https://pith.science/pith/I2U4YH637MSGJ4YMDAMYDPX5SM/action/replication_record"}},"created_at":"2026-07-04T16:13:49.639564+00:00","updated_at":"2026-07-04T16:13:49.639564+00:00"}