{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WTMACT3G35XSQBKYOK4TUWYJ52","short_pith_number":"pith:WTMACT3G","canonical_record":{"source":{"id":"1207.1801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T14:54:02Z","cross_cats_sorted":[],"title_canon_sha256":"580ff9069e7bce9e37fbe83ae72a9beaa0dc63f1f6392d6a721281bc22b7582e","abstract_canon_sha256":"ddb6fe4c9b21d9231cdbd48a222641913ece8f2a5615a72ba328fc5156e02aa5"},"schema_version":"1.0"},"canonical_sha256":"b4d8014f66df6f28055872b93a5b09ee8064da9586ed851398e933559d362bb1","source":{"kind":"arxiv","id":"1207.1801","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1801","created_at":"2026-05-18T00:19:14Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1801v1","created_at":"2026-05-18T00:19:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1801","created_at":"2026-05-18T00:19:14Z"},{"alias_kind":"pith_short_12","alias_value":"WTMACT3G35XS","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WTMACT3G35XSQBKY","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WTMACT3G","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WTMACT3G35XSQBKYOK4TUWYJ52","target":"record","payload":{"canonical_record":{"source":{"id":"1207.1801","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T14:54:02Z","cross_cats_sorted":[],"title_canon_sha256":"580ff9069e7bce9e37fbe83ae72a9beaa0dc63f1f6392d6a721281bc22b7582e","abstract_canon_sha256":"ddb6fe4c9b21d9231cdbd48a222641913ece8f2a5615a72ba328fc5156e02aa5"},"schema_version":"1.0"},"canonical_sha256":"b4d8014f66df6f28055872b93a5b09ee8064da9586ed851398e933559d362bb1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:14.580044Z","signature_b64":"5zYJ/FnSfjG9R2xcNVxqZsH35pZ2h13W4pPSjp+vl4Z091tbgA+mUU61yWyrLd4divROxCmBn1zaqHVD/REXBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4d8014f66df6f28055872b93a5b09ee8064da9586ed851398e933559d362bb1","last_reissued_at":"2026-05-18T00:19:14.579348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:14.579348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.1801","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":"2026-05-18T00:19:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nFQUQRAj+p9gqmFIQ2f/0w2i00dyRfuKJnbylMKHwwRQ913Qlv89sooEarhqaDaOQYYiPcwAOMc0dAut2PSqCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:20:27.852851Z"},"content_sha256":"aed13d377658fa1deedad9fc1ea4684d0298037d8dc9f8f9254522ccf7d89fb4","schema_version":"1.0","event_id":"sha256:aed13d377658fa1deedad9fc1ea4684d0298037d8dc9f8f9254522ccf7d89fb4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WTMACT3G35XSQBKYOK4TUWYJ52","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Friedmann-like equations for High Energy Area of Universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E. Yusofi, M. Mohsenzadeh","submitted_at":"2012-07-07T14:54:02Z","abstract_excerpt":"In this paper, evolution of the high energy area of universe, through the scenario of 5 dimensional (5D) universe, has been studied. For this purpose, we solve Einstein equations for 5D metric and 5D perfect fuid to derive Friedmann-like equations. Then we obtain the evolution of scale factor and energy density with respect to both space-like and time-like extra dimensions. We obtain the novel equations for the space-like extra dimension and show that the matter with zero pressure cannot exist in the bulk. Also, for dark energy fuid and vacuum fluid, we have both accelerated expansion and cont"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1801","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":"2026-05-18T00:19:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Wcye5h25tppM3AU//5htVxn+Oxl76cQDQ6CYwF12pl+uxCyXoR00VMupfjwpz2Ln04RSu7dN53Zy4PTxxg+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:20:27.853418Z"},"content_sha256":"0f9f43928e9779b91e04f61850a8cfa4cdd085a554cea9782e8aaca33be4a44f","schema_version":"1.0","event_id":"sha256:0f9f43928e9779b91e04f61850a8cfa4cdd085a554cea9782e8aaca33be4a44f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WTMACT3G35XSQBKYOK4TUWYJ52/bundle.json","state_url":"https://pith.science/pith/WTMACT3G35XSQBKYOK4TUWYJ52/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WTMACT3G35XSQBKYOK4TUWYJ52/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":"2026-06-12T04:20:27Z","links":{"resolver":"https://pith.science/pith/WTMACT3G35XSQBKYOK4TUWYJ52","bundle":"https://pith.science/pith/WTMACT3G35XSQBKYOK4TUWYJ52/bundle.json","state":"https://pith.science/pith/WTMACT3G35XSQBKYOK4TUWYJ52/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WTMACT3G35XSQBKYOK4TUWYJ52/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WTMACT3G35XSQBKYOK4TUWYJ52","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":"ddb6fe4c9b21d9231cdbd48a222641913ece8f2a5615a72ba328fc5156e02aa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T14:54:02Z","title_canon_sha256":"580ff9069e7bce9e37fbe83ae72a9beaa0dc63f1f6392d6a721281bc22b7582e"},"schema_version":"1.0","source":{"id":"1207.1801","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1801","created_at":"2026-05-18T00:19:14Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1801v1","created_at":"2026-05-18T00:19:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1801","created_at":"2026-05-18T00:19:14Z"},{"alias_kind":"pith_short_12","alias_value":"WTMACT3G35XS","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WTMACT3G35XSQBKY","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WTMACT3G","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:0f9f43928e9779b91e04f61850a8cfa4cdd085a554cea9782e8aaca33be4a44f","target":"graph","created_at":"2026-05-18T00:19:14Z","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":"In this paper, evolution of the high energy area of universe, through the scenario of 5 dimensional (5D) universe, has been studied. For this purpose, we solve Einstein equations for 5D metric and 5D perfect fuid to derive Friedmann-like equations. Then we obtain the evolution of scale factor and energy density with respect to both space-like and time-like extra dimensions. We obtain the novel equations for the space-like extra dimension and show that the matter with zero pressure cannot exist in the bulk. Also, for dark energy fuid and vacuum fluid, we have both accelerated expansion and cont","authors_text":"E. Yusofi, M. Mohsenzadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T14:54:02Z","title":"Friedmann-like equations for High Energy Area of Universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1801","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:aed13d377658fa1deedad9fc1ea4684d0298037d8dc9f8f9254522ccf7d89fb4","target":"record","created_at":"2026-05-18T00:19:14Z","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":"ddb6fe4c9b21d9231cdbd48a222641913ece8f2a5615a72ba328fc5156e02aa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T14:54:02Z","title_canon_sha256":"580ff9069e7bce9e37fbe83ae72a9beaa0dc63f1f6392d6a721281bc22b7582e"},"schema_version":"1.0","source":{"id":"1207.1801","kind":"arxiv","version":1}},"canonical_sha256":"b4d8014f66df6f28055872b93a5b09ee8064da9586ed851398e933559d362bb1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4d8014f66df6f28055872b93a5b09ee8064da9586ed851398e933559d362bb1","first_computed_at":"2026-05-18T00:19:14.579348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:14.579348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5zYJ/FnSfjG9R2xcNVxqZsH35pZ2h13W4pPSjp+vl4Z091tbgA+mUU61yWyrLd4divROxCmBn1zaqHVD/REXBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:14.580044Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1801","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aed13d377658fa1deedad9fc1ea4684d0298037d8dc9f8f9254522ccf7d89fb4","sha256:0f9f43928e9779b91e04f61850a8cfa4cdd085a554cea9782e8aaca33be4a44f"],"state_sha256":"5ee5e2a185a6930992736d1bd35838120b36d47eeaf70a407b9d002d649d63e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rrdVUHyV5aHCIibvcgajaDviBzH1lldszoJh/4lOin5j579D5rPDWw0oa1E5zxxLVruw+JQkehRPYNb26VMnBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T04:20:27.856130Z","bundle_sha256":"254b7fbb1887b5c84709d9301d4c74f1e5a5e41d3edc0f74e13a475edee697eb"}}