{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:GPNTSL5YINNYUKMLIBOAGGDELY","short_pith_number":"pith:GPNTSL5Y","canonical_record":{"source":{"id":"1206.0891","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-05T12:00:16Z","cross_cats_sorted":[],"title_canon_sha256":"7aeb7c6e4b23b1bd509b8b73ca229eb1b4cb4160cc23e0b972810022035ee49e","abstract_canon_sha256":"7609e02e5f8c8cc79c3e2a1fe4cdafff3ba9a5a1b458b5bbdd6cfada4d1c3df9"},"schema_version":"1.0"},"canonical_sha256":"33db392fb8435b8a298b405c0318645e3b85e7447dbcee89c15a444a5824c534","source":{"kind":"arxiv","id":"1206.0891","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0891","created_at":"2026-05-18T01:57:07Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0891v3","created_at":"2026-05-18T01:57:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0891","created_at":"2026-05-18T01:57:07Z"},{"alias_kind":"pith_short_12","alias_value":"GPNTSL5YINNY","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GPNTSL5YINNYUKML","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GPNTSL5Y","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:GPNTSL5YINNYUKMLIBOAGGDELY","target":"record","payload":{"canonical_record":{"source":{"id":"1206.0891","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-05T12:00:16Z","cross_cats_sorted":[],"title_canon_sha256":"7aeb7c6e4b23b1bd509b8b73ca229eb1b4cb4160cc23e0b972810022035ee49e","abstract_canon_sha256":"7609e02e5f8c8cc79c3e2a1fe4cdafff3ba9a5a1b458b5bbdd6cfada4d1c3df9"},"schema_version":"1.0"},"canonical_sha256":"33db392fb8435b8a298b405c0318645e3b85e7447dbcee89c15a444a5824c534","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:07.672643Z","signature_b64":"NyUDLCb6Qe/3faz+3lE68U+HpUg1DkkkAy/4lLWeaKRy+RSrsFDSk+8L7s3fzswUmUOCCzvAlxeh7S+9vk8hAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33db392fb8435b8a298b405c0318645e3b85e7447dbcee89c15a444a5824c534","last_reissued_at":"2026-05-18T01:57:07.672041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:07.672041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.0891","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:57:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"txd5FC1kVOPXKR+Ip23QGWjbBPlzpC8LeAGzDllrzbP6NcqTzFq6U2duLCQVTwpY/adBQ0lot5zf3O0r78L+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:02:00.988442Z"},"content_sha256":"a526f19e6896f3f848b3d5f4ea59e38b107858dea0a34da8f1dd5ce125287212","schema_version":"1.0","event_id":"sha256:a526f19e6896f3f848b3d5f4ea59e38b107858dea0a34da8f1dd5ce125287212"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:GPNTSL5YINNYUKMLIBOAGGDELY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-Dimensional Cosmology and GUP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"F. Darabi, H. Motavalli, K. Zeynali","submitted_at":"2012-06-05T12:00:16Z","abstract_excerpt":"We consider a multidimensional cosmological model with FRW type metric having 4-dimensional space-time and $d$-dimensional Ricci-flat internal space sectors with a higher dimensional cosmological constant. We study the classical cosmology in commutative and GUP cases and obtain the corresponding exact solutions for negative and positive cosmological constants. It is shown that for negative cosmological constant, the commutative and GUP cases result in finite size universes with smaller size and longer ages, and larger size and shorter age, respectively. For positive cosmological constant, the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0891","kind":"arxiv","version":3},"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":"2026-05-18T01:57:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/U+Qk5SpI7+ZzmhIic9hyEirIQInPgUac8ATjo/PO4D+QBBRx8znAvdrbrFAV/cD9K+cU3ziR9I1Gzc68sEAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:02:00.989150Z"},"content_sha256":"6e65c8c1bf6890434391103fc4cfd612164b5cbaf5603023de442de5dd1d210b","schema_version":"1.0","event_id":"sha256:6e65c8c1bf6890434391103fc4cfd612164b5cbaf5603023de442de5dd1d210b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GPNTSL5YINNYUKMLIBOAGGDELY/bundle.json","state_url":"https://pith.science/pith/GPNTSL5YINNYUKMLIBOAGGDELY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GPNTSL5YINNYUKMLIBOAGGDELY/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":"2026-05-30T20:02:00Z","links":{"resolver":"https://pith.science/pith/GPNTSL5YINNYUKMLIBOAGGDELY","bundle":"https://pith.science/pith/GPNTSL5YINNYUKMLIBOAGGDELY/bundle.json","state":"https://pith.science/pith/GPNTSL5YINNYUKMLIBOAGGDELY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GPNTSL5YINNYUKMLIBOAGGDELY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GPNTSL5YINNYUKMLIBOAGGDELY","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":"7609e02e5f8c8cc79c3e2a1fe4cdafff3ba9a5a1b458b5bbdd6cfada4d1c3df9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-05T12:00:16Z","title_canon_sha256":"7aeb7c6e4b23b1bd509b8b73ca229eb1b4cb4160cc23e0b972810022035ee49e"},"schema_version":"1.0","source":{"id":"1206.0891","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0891","created_at":"2026-05-18T01:57:07Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0891v3","created_at":"2026-05-18T01:57:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0891","created_at":"2026-05-18T01:57:07Z"},{"alias_kind":"pith_short_12","alias_value":"GPNTSL5YINNY","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GPNTSL5YINNYUKML","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GPNTSL5Y","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:6e65c8c1bf6890434391103fc4cfd612164b5cbaf5603023de442de5dd1d210b","target":"graph","created_at":"2026-05-18T01:57:07Z","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 consider a multidimensional cosmological model with FRW type metric having 4-dimensional space-time and $d$-dimensional Ricci-flat internal space sectors with a higher dimensional cosmological constant. We study the classical cosmology in commutative and GUP cases and obtain the corresponding exact solutions for negative and positive cosmological constants. It is shown that for negative cosmological constant, the commutative and GUP cases result in finite size universes with smaller size and longer ages, and larger size and shorter age, respectively. For positive cosmological constant, the ","authors_text":"F. Darabi, H. Motavalli, K. Zeynali","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-05T12:00:16Z","title":"Multi-Dimensional Cosmology and GUP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0891","kind":"arxiv","version":3},"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:a526f19e6896f3f848b3d5f4ea59e38b107858dea0a34da8f1dd5ce125287212","target":"record","created_at":"2026-05-18T01:57:07Z","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":"7609e02e5f8c8cc79c3e2a1fe4cdafff3ba9a5a1b458b5bbdd6cfada4d1c3df9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-05T12:00:16Z","title_canon_sha256":"7aeb7c6e4b23b1bd509b8b73ca229eb1b4cb4160cc23e0b972810022035ee49e"},"schema_version":"1.0","source":{"id":"1206.0891","kind":"arxiv","version":3}},"canonical_sha256":"33db392fb8435b8a298b405c0318645e3b85e7447dbcee89c15a444a5824c534","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33db392fb8435b8a298b405c0318645e3b85e7447dbcee89c15a444a5824c534","first_computed_at":"2026-05-18T01:57:07.672041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:07.672041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NyUDLCb6Qe/3faz+3lE68U+HpUg1DkkkAy/4lLWeaKRy+RSrsFDSk+8L7s3fzswUmUOCCzvAlxeh7S+9vk8hAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:07.672643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0891","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a526f19e6896f3f848b3d5f4ea59e38b107858dea0a34da8f1dd5ce125287212","sha256:6e65c8c1bf6890434391103fc4cfd612164b5cbaf5603023de442de5dd1d210b"],"state_sha256":"52eb6eb49de60b215253fcefbeaeb703e7af6823b0fb5fc11851b658ad4dc0a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WWQ5MZ+TQegUj1H/q5t92bBnQ+lF2YMIA2Thdjikd1Mtqfs66SxaPpMYk1AoLlRDko87Yo3FxYKE/w5SNBf5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:02:00.993430Z","bundle_sha256":"486ec408d5bc3e1b04551cdfa8ca70a77f6561da1cc738ff651fdd9d384012e1"}}