{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5CR54ENICSIBSPGRJAJT47WMF5","short_pith_number":"pith:5CR54ENI","canonical_record":{"source":{"id":"1401.7638","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-01-29T19:46:48Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"eb7a40ee4b78f4190cbc1dc80fe60e224289f0db86d393087983b9023970e5a8","abstract_canon_sha256":"c9ade62bbc60689bbd26faf1a76b60e6e8a6429c1811a2cda1d2848027f96bb2"},"schema_version":"1.0"},"canonical_sha256":"e8a3de11a81490193cd148133e7ecc2f6e4b62a8b926e7f8d87d392b57899f36","source":{"kind":"arxiv","id":"1401.7638","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7638","created_at":"2026-05-18T02:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7638v2","created_at":"2026-05-18T02:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7638","created_at":"2026-05-18T02:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"5CR54ENICSIB","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5CR54ENICSIBSPGR","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5CR54ENI","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5CR54ENICSIBSPGRJAJT47WMF5","target":"record","payload":{"canonical_record":{"source":{"id":"1401.7638","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-01-29T19:46:48Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"eb7a40ee4b78f4190cbc1dc80fe60e224289f0db86d393087983b9023970e5a8","abstract_canon_sha256":"c9ade62bbc60689bbd26faf1a76b60e6e8a6429c1811a2cda1d2848027f96bb2"},"schema_version":"1.0"},"canonical_sha256":"e8a3de11a81490193cd148133e7ecc2f6e4b62a8b926e7f8d87d392b57899f36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:37.591600Z","signature_b64":"hYj/lTLJc0F2B1jqSpEKf0LP8JDcy+XrD7wZllQLt6eoaiCS5SVwehWrbhqlW1GqkaVbEkJfWBxiWaOzfdpEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8a3de11a81490193cd148133e7ecc2f6e4b62a8b926e7f8d87d392b57899f36","last_reissued_at":"2026-05-18T02:54:37.590944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:37.590944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.7638","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v/F0sP1JWqPlCSR1sqz4tUP98hC/UwCHr2W0hLZD7+qVyh6ar0kemrlTHD5QHfypyP0zrXPNzObobeShHPghAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:00:50.633404Z"},"content_sha256":"2414e54280263c503470fd85edf9921870e0fec7c193c9960b32b0e9320edb51","schema_version":"1.0","event_id":"sha256:2414e54280263c503470fd85edf9921870e0fec7c193c9960b32b0e9320edb51"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5CR54ENICSIBSPGRJAJT47WMF5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Einstein Static Universe in Braneworld Scenario","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"F. Darabi, K. Atazadeh, Y. Heydarzade","submitted_at":"2014-01-29T19:46:48Z","abstract_excerpt":"The stability of Einstein static universe against homogeneous scalar perturbations in the context of braneworld scenario is investigated. The stability regions are obtained in terms of the constant geometric linear equation of state parameter $\\omega_{extr}=p_{extr}/\\rho_{extr}$ and are studied for each evolutionary era of the universe. The results are discussed for the case of closed, open or flat universe in each era under the obtained restricting conditions. We also briefly investigate the stability against vector and tensor perturbations. Contrary to the classical general relativity, it is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7638","kind":"arxiv","version":2},"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":"2026-05-18T02:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/KX/o9aloKY1IKKAZ66H04pkYpd/7ypVFtrVxnM5d3yQz3SZsdW4nu85OzEMgEi30CgeLOwpyil1N093EWI0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:00:50.634048Z"},"content_sha256":"96269c94625a86c41816115f398aa26d2d9cdd3efe870059a2fd4727ea68074d","schema_version":"1.0","event_id":"sha256:96269c94625a86c41816115f398aa26d2d9cdd3efe870059a2fd4727ea68074d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5CR54ENICSIBSPGRJAJT47WMF5/bundle.json","state_url":"https://pith.science/pith/5CR54ENICSIBSPGRJAJT47WMF5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5CR54ENICSIBSPGRJAJT47WMF5/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":"2026-05-30T20:00:50Z","links":{"resolver":"https://pith.science/pith/5CR54ENICSIBSPGRJAJT47WMF5","bundle":"https://pith.science/pith/5CR54ENICSIBSPGRJAJT47WMF5/bundle.json","state":"https://pith.science/pith/5CR54ENICSIBSPGRJAJT47WMF5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5CR54ENICSIBSPGRJAJT47WMF5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5CR54ENICSIBSPGRJAJT47WMF5","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":"c9ade62bbc60689bbd26faf1a76b60e6e8a6429c1811a2cda1d2848027f96bb2","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-01-29T19:46:48Z","title_canon_sha256":"eb7a40ee4b78f4190cbc1dc80fe60e224289f0db86d393087983b9023970e5a8"},"schema_version":"1.0","source":{"id":"1401.7638","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7638","created_at":"2026-05-18T02:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7638v2","created_at":"2026-05-18T02:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7638","created_at":"2026-05-18T02:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"5CR54ENICSIB","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5CR54ENICSIBSPGR","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5CR54ENI","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:96269c94625a86c41816115f398aa26d2d9cdd3efe870059a2fd4727ea68074d","target":"graph","created_at":"2026-05-18T02:54:37Z","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":"The stability of Einstein static universe against homogeneous scalar perturbations in the context of braneworld scenario is investigated. The stability regions are obtained in terms of the constant geometric linear equation of state parameter $\\omega_{extr}=p_{extr}/\\rho_{extr}$ and are studied for each evolutionary era of the universe. The results are discussed for the case of closed, open or flat universe in each era under the obtained restricting conditions. We also briefly investigate the stability against vector and tensor perturbations. Contrary to the classical general relativity, it is","authors_text":"F. Darabi, K. Atazadeh, Y. Heydarzade","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-01-29T19:46:48Z","title":"Einstein Static Universe in Braneworld Scenario"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7638","kind":"arxiv","version":2},"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":"sha256:2414e54280263c503470fd85edf9921870e0fec7c193c9960b32b0e9320edb51","target":"record","created_at":"2026-05-18T02:54:37Z","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":"c9ade62bbc60689bbd26faf1a76b60e6e8a6429c1811a2cda1d2848027f96bb2","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"gr-qc","submitted_at":"2014-01-29T19:46:48Z","title_canon_sha256":"eb7a40ee4b78f4190cbc1dc80fe60e224289f0db86d393087983b9023970e5a8"},"schema_version":"1.0","source":{"id":"1401.7638","kind":"arxiv","version":2}},"canonical_sha256":"e8a3de11a81490193cd148133e7ecc2f6e4b62a8b926e7f8d87d392b57899f36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8a3de11a81490193cd148133e7ecc2f6e4b62a8b926e7f8d87d392b57899f36","first_computed_at":"2026-05-18T02:54:37.590944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:37.590944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hYj/lTLJc0F2B1jqSpEKf0LP8JDcy+XrD7wZllQLt6eoaiCS5SVwehWrbhqlW1GqkaVbEkJfWBxiWaOzfdpEAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:37.591600Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.7638","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2414e54280263c503470fd85edf9921870e0fec7c193c9960b32b0e9320edb51","sha256:96269c94625a86c41816115f398aa26d2d9cdd3efe870059a2fd4727ea68074d"],"state_sha256":"e4c0e7bce458ac06577b6fe143716baebb6c38eea9f00f9cc158c760a12db472"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P4RmEQA4Ri8n+wV/dtuG7jA6WGXpOIxB4meKgDGpxFuMxU9M7YQdt8Ol/qyhnbhMqSEBreVnBphUZ2lRmKtrBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:00:50.637765Z","bundle_sha256":"6cef2646b9ec46fea9ef7d3aa59f1afc287611b1b2209c9b0068d3c46f031f90"}}