{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:AMLR5N7W4LFEWW67NAIBQRK72E","short_pith_number":"pith:AMLR5N7W","canonical_record":{"source":{"id":"gr-qc/0012019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2000-12-05T15:36:02Z","cross_cats_sorted":[],"title_canon_sha256":"a1d2df6be0a7195a103b18603e597276758ff4bfa25d91868a0aed888087b631","abstract_canon_sha256":"c440f56b455648b3e5017e3b70b2831f3d982d3360bd2c3fc9e00b6e64c314c3"},"schema_version":"1.0"},"canonical_sha256":"03171eb7f6e2ca4b5bdf681018455fd12db6ffe8cb8163bb6cb759e23da5a8a2","source":{"kind":"arxiv","id":"gr-qc/0012019","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0012019","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0012019v1","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0012019","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"AMLR5N7W4LFE","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"AMLR5N7W4LFEWW67","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"AMLR5N7W","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:AMLR5N7W4LFEWW67NAIBQRK72E","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0012019","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2000-12-05T15:36:02Z","cross_cats_sorted":[],"title_canon_sha256":"a1d2df6be0a7195a103b18603e597276758ff4bfa25d91868a0aed888087b631","abstract_canon_sha256":"c440f56b455648b3e5017e3b70b2831f3d982d3360bd2c3fc9e00b6e64c314c3"},"schema_version":"1.0"},"canonical_sha256":"03171eb7f6e2ca4b5bdf681018455fd12db6ffe8cb8163bb6cb759e23da5a8a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:08.379385Z","signature_b64":"a5Qe3mBVWHB39Yxevo4Eo4g+/BGI5PmFVxwMsqWrUwj1R17ghSNeYYH2EBKwG86pSfssiuKktZwfFmSNNuQRBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03171eb7f6e2ca4b5bdf681018455fd12db6ffe8cb8163bb6cb759e23da5a8a2","last_reissued_at":"2026-05-18T01:09:08.379016Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:08.379016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0012019","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":"2026-05-18T01:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cQVbOofFgSJlC+Z9ft5AD2MqI1R32+wNcJOAaPVnSNle9yfjDdL7KG0u8baUW8v/XdnggMjD6/C9JuOXhUurAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T21:59:50.221782Z"},"content_sha256":"b448cf119c21feaecb0e0c1767e7a97462ac4e313588ce993cf92ee55de69977","schema_version":"1.0","event_id":"sha256:b448cf119c21feaecb0e0c1767e7a97462ac4e313588ce993cf92ee55de69977"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:AMLR5N7W4LFEWW67NAIBQRK72E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Static Anisotropic Solutions to Einstein Equations with a Nonlocal Equation of State","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"H. Hern\\'andez, L.A. N\\'u\\~nez","submitted_at":"2000-12-05T15:36:02Z","abstract_excerpt":"We present a general method to obtain static anisotropic spherically symmetric solutions, satisfying a nonlocal equation of state, from known density profiles. This equation of state describes, at a given point, the components of the corresponding energy-momentum tensor not only as a function at that point, but as a functional throughout the enclosed configuration. In order to establish the physical aceptability of the proposed static family of solutions satisfying nonlocal equation of state,\\textit{}we study the consequences imposed by the junction and energy conditions for anisotropic fluids"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0012019","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":""},"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":"2026-05-18T01:09:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P2P8IOniplvA11i2JmLYP1OvthbzNtr83QHM52pfxgKWsWkeTD2SYU/gNKKBnJSHJQnEsxQcOLVn+W3fqqyxCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T21:59:50.222132Z"},"content_sha256":"3058279a08c515f2869b1ebc48d391b27a0c515477d4111cfab9589ef8371acc","schema_version":"1.0","event_id":"sha256:3058279a08c515f2869b1ebc48d391b27a0c515477d4111cfab9589ef8371acc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AMLR5N7W4LFEWW67NAIBQRK72E/bundle.json","state_url":"https://pith.science/pith/AMLR5N7W4LFEWW67NAIBQRK72E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AMLR5N7W4LFEWW67NAIBQRK72E/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":"2026-05-19T21:59:50Z","links":{"resolver":"https://pith.science/pith/AMLR5N7W4LFEWW67NAIBQRK72E","bundle":"https://pith.science/pith/AMLR5N7W4LFEWW67NAIBQRK72E/bundle.json","state":"https://pith.science/pith/AMLR5N7W4LFEWW67NAIBQRK72E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AMLR5N7W4LFEWW67NAIBQRK72E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:AMLR5N7W4LFEWW67NAIBQRK72E","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":"c440f56b455648b3e5017e3b70b2831f3d982d3360bd2c3fc9e00b6e64c314c3","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2000-12-05T15:36:02Z","title_canon_sha256":"a1d2df6be0a7195a103b18603e597276758ff4bfa25d91868a0aed888087b631"},"schema_version":"1.0","source":{"id":"gr-qc/0012019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0012019","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0012019v1","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0012019","created_at":"2026-05-18T01:09:08Z"},{"alias_kind":"pith_short_12","alias_value":"AMLR5N7W4LFE","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"AMLR5N7W4LFEWW67","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"AMLR5N7W","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:3058279a08c515f2869b1ebc48d391b27a0c515477d4111cfab9589ef8371acc","target":"graph","created_at":"2026-05-18T01:09:08Z","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"},"paper":{"abstract_excerpt":"We present a general method to obtain static anisotropic spherically symmetric solutions, satisfying a nonlocal equation of state, from known density profiles. This equation of state describes, at a given point, the components of the corresponding energy-momentum tensor not only as a function at that point, but as a functional throughout the enclosed configuration. In order to establish the physical aceptability of the proposed static family of solutions satisfying nonlocal equation of state,\\textit{}we study the consequences imposed by the junction and energy conditions for anisotropic fluids","authors_text":"H. Hern\\'andez, L.A. N\\'u\\~nez","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2000-12-05T15:36:02Z","title":"Static Anisotropic Solutions to Einstein Equations with a Nonlocal Equation of State"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0012019","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:b448cf119c21feaecb0e0c1767e7a97462ac4e313588ce993cf92ee55de69977","target":"record","created_at":"2026-05-18T01:09:08Z","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":"c440f56b455648b3e5017e3b70b2831f3d982d3360bd2c3fc9e00b6e64c314c3","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2000-12-05T15:36:02Z","title_canon_sha256":"a1d2df6be0a7195a103b18603e597276758ff4bfa25d91868a0aed888087b631"},"schema_version":"1.0","source":{"id":"gr-qc/0012019","kind":"arxiv","version":1}},"canonical_sha256":"03171eb7f6e2ca4b5bdf681018455fd12db6ffe8cb8163bb6cb759e23da5a8a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03171eb7f6e2ca4b5bdf681018455fd12db6ffe8cb8163bb6cb759e23da5a8a2","first_computed_at":"2026-05-18T01:09:08.379016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:08.379016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a5Qe3mBVWHB39Yxevo4Eo4g+/BGI5PmFVxwMsqWrUwj1R17ghSNeYYH2EBKwG86pSfssiuKktZwfFmSNNuQRBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:08.379385Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0012019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b448cf119c21feaecb0e0c1767e7a97462ac4e313588ce993cf92ee55de69977","sha256:3058279a08c515f2869b1ebc48d391b27a0c515477d4111cfab9589ef8371acc"],"state_sha256":"33141f06a48592dcbcdb4e0fdd2f36978c2d0397864c10b46753be99f8de25be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5wQbNoX2B/EDtWGQqxkFmqSRFaSEB0yPeIEfWVu0eTwBMjoTGw/tULWD1B4tvkQ9BxQhPUg4IlsnSDKuvw7ECA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T21:59:50.224324Z","bundle_sha256":"cb0a125deb761cead0f2f7bb34e8c2560618a47c94857976ced8d1d5b728682b"}}