{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:A5HW6MALT7CEKVJFAV7AX2QM3H","short_pith_number":"pith:A5HW6MAL","canonical_record":{"source":{"id":"gr-qc/0208082","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-08-27T08:20:39Z","cross_cats_sorted":[],"title_canon_sha256":"fac38e744f326e2c7c29239eee146807e7466e610ef522412ffdf871da3dc872","abstract_canon_sha256":"92cbb39f20ceeccf60c049c8d8a0919ba19dd4b7752a2261b7aed88838763218"},"schema_version":"1.0"},"canonical_sha256":"074f6f300b9fc4455525057e0bea0cd9d94003a28e5e648ee18380655ee6163c","source":{"kind":"arxiv","id":"gr-qc/0208082","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0208082","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0208082v1","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0208082","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"A5HW6MALT7CE","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"pith_short_16","alias_value":"A5HW6MALT7CEKVJF","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"pith_short_8","alias_value":"A5HW6MAL","created_at":"2026-07-04T14:25:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:A5HW6MALT7CEKVJFAV7AX2QM3H","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0208082","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2002-08-27T08:20:39Z","cross_cats_sorted":[],"title_canon_sha256":"fac38e744f326e2c7c29239eee146807e7466e610ef522412ffdf871da3dc872","abstract_canon_sha256":"92cbb39f20ceeccf60c049c8d8a0919ba19dd4b7752a2261b7aed88838763218"},"schema_version":"1.0"},"canonical_sha256":"074f6f300b9fc4455525057e0bea0cd9d94003a28e5e648ee18380655ee6163c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:25:35.989131Z","signature_b64":"g+mjaWTyr1La2M+95umNi1HMYtWWLu3IyEog3WPOFjz3LusTaWoXl2bwUAo83uVLCr5qbV+8vrd6kUJy8WvEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"074f6f300b9fc4455525057e0bea0cd9d94003a28e5e648ee18380655ee6163c","last_reissued_at":"2026-07-04T14:25:35.988733Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:25:35.988733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0208082","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FRJI+/ZPNfgCWaBBJC59z1OrthkpAH/lgM8a1tMHz2pioN5RKS9EI6h4xGb9vzYng0qhNdgA9U8t5jGcYZRsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T01:26:36.771039Z"},"content_sha256":"b04ccee4e4049c3b83ca47d20fe0a8a1604f30995054e15437c14acda92069ee","schema_version":"1.0","event_id":"sha256:b04ccee4e4049c3b83ca47d20fe0a8a1604f30995054e15437c14acda92069ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:A5HW6MALT7CEKVJFAV7AX2QM3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Einstein-Vlasov system","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alan D. Rendall","submitted_at":"2002-08-27T08:20:39Z","abstract_excerpt":"Rigorous results on solutions of the Einstein-Vlasov system are surveyed. After an introduction to this system of equations and the reasons for studying it, a general discussion of various classes of solutions is given. The emphasis is on presenting important conceptual ideas, while avoiding entering into technical details. Topics covered include spatially homogenous models, static solutions, spherically symmetric collapse and isotropic singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0208082","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/0208082/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:25:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tnrfWA+W+7dT+zfJkBJoeChIpcFY7YnkBVn3WOYymF0JD6slzQbog7QuPVGCb2KaFuHFhrgmewhATLbMC8LaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T01:26:36.771507Z"},"content_sha256":"23687caba49aaa0087f8022f1392542f86645e4afe5f484ede517403ec538841","schema_version":"1.0","event_id":"sha256:23687caba49aaa0087f8022f1392542f86645e4afe5f484ede517403ec538841"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A5HW6MALT7CEKVJFAV7AX2QM3H/bundle.json","state_url":"https://pith.science/pith/A5HW6MALT7CEKVJFAV7AX2QM3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A5HW6MALT7CEKVJFAV7AX2QM3H/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-05T01:26:36Z","links":{"resolver":"https://pith.science/pith/A5HW6MALT7CEKVJFAV7AX2QM3H","bundle":"https://pith.science/pith/A5HW6MALT7CEKVJFAV7AX2QM3H/bundle.json","state":"https://pith.science/pith/A5HW6MALT7CEKVJFAV7AX2QM3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A5HW6MALT7CEKVJFAV7AX2QM3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:A5HW6MALT7CEKVJFAV7AX2QM3H","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"92cbb39f20ceeccf60c049c8d8a0919ba19dd4b7752a2261b7aed88838763218","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-08-27T08:20:39Z","title_canon_sha256":"fac38e744f326e2c7c29239eee146807e7466e610ef522412ffdf871da3dc872"},"schema_version":"1.0","source":{"id":"gr-qc/0208082","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0208082","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0208082v1","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0208082","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"pith_short_12","alias_value":"A5HW6MALT7CE","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"pith_short_16","alias_value":"A5HW6MALT7CEKVJF","created_at":"2026-07-04T14:25:35Z"},{"alias_kind":"pith_short_8","alias_value":"A5HW6MAL","created_at":"2026-07-04T14:25:35Z"}],"graph_snapshots":[{"event_id":"sha256:23687caba49aaa0087f8022f1392542f86645e4afe5f484ede517403ec538841","target":"graph","created_at":"2026-07-04T14:25:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/gr-qc/0208082/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Rigorous results on solutions of the Einstein-Vlasov system are surveyed. After an introduction to this system of equations and the reasons for studying it, a general discussion of various classes of solutions is given. The emphasis is on presenting important conceptual ideas, while avoiding entering into technical details. Topics covered include spatially homogenous models, static solutions, spherically symmetric collapse and isotropic singularities.","authors_text":"Alan D. Rendall","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2002-08-27T08:20:39Z","title":"The Einstein-Vlasov system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0208082","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b04ccee4e4049c3b83ca47d20fe0a8a1604f30995054e15437c14acda92069ee","target":"record","created_at":"2026-07-04T14:25:35Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"92cbb39f20ceeccf60c049c8d8a0919ba19dd4b7752a2261b7aed88838763218","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2002-08-27T08:20:39Z","title_canon_sha256":"fac38e744f326e2c7c29239eee146807e7466e610ef522412ffdf871da3dc872"},"schema_version":"1.0","source":{"id":"gr-qc/0208082","kind":"arxiv","version":1}},"canonical_sha256":"074f6f300b9fc4455525057e0bea0cd9d94003a28e5e648ee18380655ee6163c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"074f6f300b9fc4455525057e0bea0cd9d94003a28e5e648ee18380655ee6163c","first_computed_at":"2026-07-04T14:25:35.988733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:25:35.988733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g+mjaWTyr1La2M+95umNi1HMYtWWLu3IyEog3WPOFjz3LusTaWoXl2bwUAo83uVLCr5qbV+8vrd6kUJy8WvEDA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:25:35.989131Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0208082","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b04ccee4e4049c3b83ca47d20fe0a8a1604f30995054e15437c14acda92069ee","sha256:23687caba49aaa0087f8022f1392542f86645e4afe5f484ede517403ec538841"],"state_sha256":"cb2e8859a852745c78ab16416c4276daa74a0047efb9fe5ab41f381675b301a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u/3YNc2ONdhYj9JKRblJ2cDSaEBG7/uEFhwzYeENOBTH/XqeRrilw542F+f4JjHORimElKC7QycLV5hPk5TvDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T01:26:36.773866Z","bundle_sha256":"197ff38da540c95e2be21c64476b70ae8c617f2f5ab7bf745e9dba2f04c2e277"}}