{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:RGTDAENAQ52MK4EP2VF4LZ5PLH","short_pith_number":"pith:RGTDAENA","canonical_record":{"source":{"id":"gr-qc/9806029","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-06-05T16:35:58Z","cross_cats_sorted":[],"title_canon_sha256":"ed3c3cfa67fc17136289940619b4ccb522208efe8980316e1a1792542470515f","abstract_canon_sha256":"123912e60eaa7f15a8a10956dcb33a3385594b1104e8416be40f658fa7f98023"},"schema_version":"1.0"},"canonical_sha256":"89a63011a08774c5708fd54bc5e7af59cb0830251a1806ff74118cbfe8fd8b95","source":{"kind":"arxiv","id":"gr-qc/9806029","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9806029","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9806029v1","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9806029","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"RGTDAENAQ52M","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"RGTDAENAQ52MK4EP","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"RGTDAENA","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:RGTDAENAQ52MK4EP2VF4LZ5PLH","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9806029","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-06-05T16:35:58Z","cross_cats_sorted":[],"title_canon_sha256":"ed3c3cfa67fc17136289940619b4ccb522208efe8980316e1a1792542470515f","abstract_canon_sha256":"123912e60eaa7f15a8a10956dcb33a3385594b1104e8416be40f658fa7f98023"},"schema_version":"1.0"},"canonical_sha256":"89a63011a08774c5708fd54bc5e7af59cb0830251a1806ff74118cbfe8fd8b95","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:52.487237Z","signature_b64":"r96CFsSbJr5xKihr7AeyQ1xcXn85IkiYGfIj0CNU92C9Hwqtl4emtBWlnudrzKPk229qJNib1ifOQrwjeF8aDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89a63011a08774c5708fd54bc5e7af59cb0830251a1806ff74118cbfe8fd8b95","last_reissued_at":"2026-05-18T04:17:52.486697Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:52.486697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9806029","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":"2026-05-18T04:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0WtkCUn584bFTKh2A2JExik5wdlf5mfPcQI9QnKZJ4dZwfNRP3wMYTaLs8wxpVOwmPCYvL7gx3ZfcJ/ZL0rmCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T03:36:31.516012Z"},"content_sha256":"57474db438f973df7d690b609421a3ef06e35efa8fafda9aec90fcc9eabaaffb","schema_version":"1.0","event_id":"sha256:57474db438f973df7d690b609421a3ef06e35efa8fafda9aec90fcc9eabaaffb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:RGTDAENAQ52MK4EP2VF4LZ5PLH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlocal Equation of State in General Relativistic Radiating Spheres","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"H. Hernandez, L. A. Nunez, U. Percoco","submitted_at":"1998-06-05T16:35:58Z","abstract_excerpt":"We show that under particular circumstances a general relativistic spherically symmetric bounded distribution of matter could satisfy a nonlocal equation of state. This equation relates, at a given point, the components of the corresponding energy momentum tensor not only as function at that point, but as a functional throughout the enclosed configuration. We have found that these types of dynamic bounded matter configurations, with constant gravitational potentials at the surface, admit a Conformal Killing Vector and fulfill the energy conditions for anisotropic imperfect fluids. We also pres"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9806029","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":"2026-05-18T04:17:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T7sNHJjE5h6fOFr3/mEWz6z8oHJGF6giZu0Bh1Vx8Hjr0M1H2FtmuS94xLePKMB/rbiUFq0iS9PgpTUjMYs1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T03:36:31.516361Z"},"content_sha256":"92897adde52cdc1fec99c1ac481b43ac72678100dffea682e9e0878a0751e97e","schema_version":"1.0","event_id":"sha256:92897adde52cdc1fec99c1ac481b43ac72678100dffea682e9e0878a0751e97e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGTDAENAQ52MK4EP2VF4LZ5PLH/bundle.json","state_url":"https://pith.science/pith/RGTDAENAQ52MK4EP2VF4LZ5PLH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGTDAENAQ52MK4EP2VF4LZ5PLH/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":"2026-06-30T03:36:31Z","links":{"resolver":"https://pith.science/pith/RGTDAENAQ52MK4EP2VF4LZ5PLH","bundle":"https://pith.science/pith/RGTDAENAQ52MK4EP2VF4LZ5PLH/bundle.json","state":"https://pith.science/pith/RGTDAENAQ52MK4EP2VF4LZ5PLH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGTDAENAQ52MK4EP2VF4LZ5PLH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:RGTDAENAQ52MK4EP2VF4LZ5PLH","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":"123912e60eaa7f15a8a10956dcb33a3385594b1104e8416be40f658fa7f98023","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-06-05T16:35:58Z","title_canon_sha256":"ed3c3cfa67fc17136289940619b4ccb522208efe8980316e1a1792542470515f"},"schema_version":"1.0","source":{"id":"gr-qc/9806029","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9806029","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9806029v1","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9806029","created_at":"2026-05-18T04:17:52Z"},{"alias_kind":"pith_short_12","alias_value":"RGTDAENAQ52M","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"RGTDAENAQ52MK4EP","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"RGTDAENA","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:92897adde52cdc1fec99c1ac481b43ac72678100dffea682e9e0878a0751e97e","target":"graph","created_at":"2026-05-18T04:17:52Z","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 show that under particular circumstances a general relativistic spherically symmetric bounded distribution of matter could satisfy a nonlocal equation of state. This equation relates, at a given point, the components of the corresponding energy momentum tensor not only as function at that point, but as a functional throughout the enclosed configuration. We have found that these types of dynamic bounded matter configurations, with constant gravitational potentials at the surface, admit a Conformal Killing Vector and fulfill the energy conditions for anisotropic imperfect fluids. We also pres","authors_text":"H. Hernandez, L. A. Nunez, U. Percoco","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-06-05T16:35:58Z","title":"Nonlocal Equation of State in General Relativistic Radiating Spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9806029","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":"sha256:57474db438f973df7d690b609421a3ef06e35efa8fafda9aec90fcc9eabaaffb","target":"record","created_at":"2026-05-18T04:17:52Z","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":"123912e60eaa7f15a8a10956dcb33a3385594b1104e8416be40f658fa7f98023","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-06-05T16:35:58Z","title_canon_sha256":"ed3c3cfa67fc17136289940619b4ccb522208efe8980316e1a1792542470515f"},"schema_version":"1.0","source":{"id":"gr-qc/9806029","kind":"arxiv","version":1}},"canonical_sha256":"89a63011a08774c5708fd54bc5e7af59cb0830251a1806ff74118cbfe8fd8b95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89a63011a08774c5708fd54bc5e7af59cb0830251a1806ff74118cbfe8fd8b95","first_computed_at":"2026-05-18T04:17:52.486697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:52.486697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r96CFsSbJr5xKihr7AeyQ1xcXn85IkiYGfIj0CNU92C9Hwqtl4emtBWlnudrzKPk229qJNib1ifOQrwjeF8aDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:52.487237Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9806029","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57474db438f973df7d690b609421a3ef06e35efa8fafda9aec90fcc9eabaaffb","sha256:92897adde52cdc1fec99c1ac481b43ac72678100dffea682e9e0878a0751e97e"],"state_sha256":"32a55c19d4f0690f6adfc7a270eac5322b503bf8dc4032677a8c2cec6907e0f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"04yg5amSVS1N/rt19QKo1ncQRI0mVerZPr3tC4wZYgq1QGBL/xlqpZ5k6lSSktDP1V2sz97+YVN2AWBSp5jVDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T03:36:31.518369Z","bundle_sha256":"4cd38fac0a8a189a09296f1e0e0f331c3d83aef1f8281ccd77f9a4b4deab270c"}}