{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JZR56F5X4MMVE4C6K6HAISIEOX","short_pith_number":"pith:JZR56F5X","canonical_record":{"source":{"id":"1302.5750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-23T01:09:00Z","cross_cats_sorted":[],"title_canon_sha256":"9809127049f3e2abcdf3ffaf7be9d804e86d1071c12d03671053d9df3fe84a45","abstract_canon_sha256":"0d26036b97bc533bb8b23862bd9fd397531f7bf2e85c910038a27f718d4203f6"},"schema_version":"1.0"},"canonical_sha256":"4e63df17b7e31952705e578e04490475c73ac86608fb8aa1b095cf8d152ac973","source":{"kind":"arxiv","id":"1302.5750","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5750","created_at":"2026-05-18T03:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5750v1","created_at":"2026-05-18T03:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5750","created_at":"2026-05-18T03:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"JZR56F5X4MMV","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JZR56F5X4MMVE4C6","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JZR56F5X","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JZR56F5X4MMVE4C6K6HAISIEOX","target":"record","payload":{"canonical_record":{"source":{"id":"1302.5750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-23T01:09:00Z","cross_cats_sorted":[],"title_canon_sha256":"9809127049f3e2abcdf3ffaf7be9d804e86d1071c12d03671053d9df3fe84a45","abstract_canon_sha256":"0d26036b97bc533bb8b23862bd9fd397531f7bf2e85c910038a27f718d4203f6"},"schema_version":"1.0"},"canonical_sha256":"4e63df17b7e31952705e578e04490475c73ac86608fb8aa1b095cf8d152ac973","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:44.008398Z","signature_b64":"plSPNmOg591uYudxdAb1b5MKImSIChjVBwaQv7q3uR9B3fY7ifyLYsc/mz5NHhWTc+t8HkyxfYyMDjRv62PkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e63df17b7e31952705e578e04490475c73ac86608fb8aa1b095cf8d152ac973","last_reissued_at":"2026-05-18T03:32:44.007531Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:44.007531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.5750","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":"2026-05-18T03:32:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XVeXdQyRIr7WU5TaiIlka/IWYrHae7pCZncv3qS14CGyUB922b0MFxTL1U/QjcDV57UQeUseRErX6Pfwlo9UAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:42:20.758519Z"},"content_sha256":"c4bb95daad751bfb4ee95887e09539427e97ecffe90a8019da0fbfaf84433d8d","schema_version":"1.0","event_id":"sha256:c4bb95daad751bfb4ee95887e09539427e97ecffe90a8019da0fbfaf84433d8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JZR56F5X4MMVE4C6K6HAISIEOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spherically symmetric models: separating expansion from contraction in models with anisotropic pressures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Filipe C. Mena, Jos\\'e P. Mimoso, Morgan Le Delliou","submitted_at":"2013-02-23T01:09:00Z","abstract_excerpt":"We investigate spherically symmetric spacetimes with an anisotropic fluid and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We find that the dividing shell is defined by a relation between the pressure gradients, both isotropic and anisotropic, and the strength of the fields induced by the Misner-Sharpe mass inside the separating shell and by the pressure fluxes. This balance is a generalization of the Tolman-Oppenheimer- Volkoff equilibrium condition which defines a local equilibrium condition, but conveys also a non- local character give"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5750","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":"2026-05-18T03:32:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SYnMTEWmlvonot9b3fqfuM6d5Goyy4YMcI8fApkTh/Bali2HrDQfF0hrQU7YYeoR46okf2gbaTbDr47afQD4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:42:20.758884Z"},"content_sha256":"b798ff4c2488c67e85adf4bee69d63aef835d2fca4f80324c3b8d8c0fc419228","schema_version":"1.0","event_id":"sha256:b798ff4c2488c67e85adf4bee69d63aef835d2fca4f80324c3b8d8c0fc419228"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JZR56F5X4MMVE4C6K6HAISIEOX/bundle.json","state_url":"https://pith.science/pith/JZR56F5X4MMVE4C6K6HAISIEOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JZR56F5X4MMVE4C6K6HAISIEOX/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":"2026-05-25T19:42:20Z","links":{"resolver":"https://pith.science/pith/JZR56F5X4MMVE4C6K6HAISIEOX","bundle":"https://pith.science/pith/JZR56F5X4MMVE4C6K6HAISIEOX/bundle.json","state":"https://pith.science/pith/JZR56F5X4MMVE4C6K6HAISIEOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JZR56F5X4MMVE4C6K6HAISIEOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JZR56F5X4MMVE4C6K6HAISIEOX","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":"0d26036b97bc533bb8b23862bd9fd397531f7bf2e85c910038a27f718d4203f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-23T01:09:00Z","title_canon_sha256":"9809127049f3e2abcdf3ffaf7be9d804e86d1071c12d03671053d9df3fe84a45"},"schema_version":"1.0","source":{"id":"1302.5750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5750","created_at":"2026-05-18T03:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5750v1","created_at":"2026-05-18T03:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5750","created_at":"2026-05-18T03:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"JZR56F5X4MMV","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JZR56F5X4MMVE4C6","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JZR56F5X","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:b798ff4c2488c67e85adf4bee69d63aef835d2fca4f80324c3b8d8c0fc419228","target":"graph","created_at":"2026-05-18T03:32:44Z","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 investigate spherically symmetric spacetimes with an anisotropic fluid and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We find that the dividing shell is defined by a relation between the pressure gradients, both isotropic and anisotropic, and the strength of the fields induced by the Misner-Sharpe mass inside the separating shell and by the pressure fluxes. This balance is a generalization of the Tolman-Oppenheimer- Volkoff equilibrium condition which defines a local equilibrium condition, but conveys also a non- local character give","authors_text":"Filipe C. Mena, Jos\\'e P. Mimoso, Morgan Le Delliou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-23T01:09:00Z","title":"Spherically symmetric models: separating expansion from contraction in models with anisotropic pressures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5750","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:c4bb95daad751bfb4ee95887e09539427e97ecffe90a8019da0fbfaf84433d8d","target":"record","created_at":"2026-05-18T03:32:44Z","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":"0d26036b97bc533bb8b23862bd9fd397531f7bf2e85c910038a27f718d4203f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-02-23T01:09:00Z","title_canon_sha256":"9809127049f3e2abcdf3ffaf7be9d804e86d1071c12d03671053d9df3fe84a45"},"schema_version":"1.0","source":{"id":"1302.5750","kind":"arxiv","version":1}},"canonical_sha256":"4e63df17b7e31952705e578e04490475c73ac86608fb8aa1b095cf8d152ac973","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e63df17b7e31952705e578e04490475c73ac86608fb8aa1b095cf8d152ac973","first_computed_at":"2026-05-18T03:32:44.007531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:44.007531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"plSPNmOg591uYudxdAb1b5MKImSIChjVBwaQv7q3uR9B3fY7ifyLYsc/mz5NHhWTc+t8HkyxfYyMDjRv62PkCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:44.008398Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4bb95daad751bfb4ee95887e09539427e97ecffe90a8019da0fbfaf84433d8d","sha256:b798ff4c2488c67e85adf4bee69d63aef835d2fca4f80324c3b8d8c0fc419228"],"state_sha256":"2311904031a507cb629074f568da9ea1dc7c2819fbbbcf56f997b401797593a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rferHWlbWd3kSMhQK5kwrCK/1kotfbZXATHd2bSxMKXR/7LHa8z/eyazP5IC6HAlcGzL5eLAuIdZy0oXul3jCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:42:20.761540Z","bundle_sha256":"46ee5a58f941f7c3ccc3f2c6717fba6569501417c1e7a2220ea8e259db5ea43d"}}