{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OU4T5CZPQ4T7AGOOW2UFWD6REA","short_pith_number":"pith:OU4T5CZP","canonical_record":{"source":{"id":"1605.01456","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T23:14:27Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"0016dd2b1d183345ddcb06e4fcb3cf2ddf3976b6e8b06da82d852c3559c4a7c9","abstract_canon_sha256":"994f354baaf67052df82766a94e2abc22b405e475a58279a787c48a01c21fdd2"},"schema_version":"1.0"},"canonical_sha256":"75393e8b2f8727f019ceb6a85b0fd1200115642aefd38c50c9447e2da6f335a2","source":{"kind":"arxiv","id":"1605.01456","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01456","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01456v1","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01456","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"OU4T5CZPQ4T7","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OU4T5CZPQ4T7AGOO","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OU4T5CZP","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OU4T5CZPQ4T7AGOOW2UFWD6REA","target":"record","payload":{"canonical_record":{"source":{"id":"1605.01456","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T23:14:27Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"0016dd2b1d183345ddcb06e4fcb3cf2ddf3976b6e8b06da82d852c3559c4a7c9","abstract_canon_sha256":"994f354baaf67052df82766a94e2abc22b405e475a58279a787c48a01c21fdd2"},"schema_version":"1.0"},"canonical_sha256":"75393e8b2f8727f019ceb6a85b0fd1200115642aefd38c50c9447e2da6f335a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:37.618630Z","signature_b64":"YPdFfQooAdZcymmAbRpcQUoNRp/DqZJD5E9V+jUrvoG1meyT60ws4l18/jfxOYvvfv8VIcj89BMpa1pifq+oDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75393e8b2f8727f019ceb6a85b0fd1200115642aefd38c50c9447e2da6f335a2","last_reissued_at":"2026-05-18T01:10:37.618135Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:37.618135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.01456","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":"2026-05-18T01:10:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cmxBuDnF1C+dHx/VNmafGP3azGTDoW/94sBBVk9KWVAtpmjNAbIcmYh0+NMw4r3bfSlZOsnKpgQ57j5Zy4RjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T14:08:18.729720Z"},"content_sha256":"51c579561ba04d42511cd9bcfee3049bbacf9903dd733d602023cc349bc7da79","schema_version":"1.0","event_id":"sha256:51c579561ba04d42511cd9bcfee3049bbacf9903dd733d602023cc349bc7da79"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OU4T5CZPQ4T7AGOOW2UFWD6REA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions. Vacuum case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Sergey A. Pavluchenko","submitted_at":"2016-05-04T23:14:27Z","abstract_excerpt":"In this paper we perform a systematic study of vacuum spatially flat ((3+D)+1)-dimensional Einstein-Gauss-Bonnet cosmological models. We consider models which topologically are the product of two flat isotropic subspaces with different scale factors. One of these subspaces is 3D and represents our space and the other is D-dimensional and represents extra dimensions. We consider no ansatz of the scale factors, which makes our results quite general. With both Einstein-Hilbert and Gauss-Bonnet contributions in play, the cases with D=1, D=2, D=3 and $D\\geqslant 4$ have different dynamics due to di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01456","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":"2026-05-18T01:10:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UV4ITW2+c0CD3r2LSSv39J8b5n2MvvLRAuFcd6XneL6ojJ4Mtv5O29bELeUIR71YBObe3I2Ko4klBqCQpqJLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T14:08:18.730311Z"},"content_sha256":"bcaddf4339d76fa5a049a3a9ddbc22497aca12d06b6668eaeff43405f441bc78","schema_version":"1.0","event_id":"sha256:bcaddf4339d76fa5a049a3a9ddbc22497aca12d06b6668eaeff43405f441bc78"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OU4T5CZPQ4T7AGOOW2UFWD6REA/bundle.json","state_url":"https://pith.science/pith/OU4T5CZPQ4T7AGOOW2UFWD6REA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OU4T5CZPQ4T7AGOOW2UFWD6REA/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":"2026-08-19T14:08:18Z","links":{"resolver":"https://pith.science/pith/OU4T5CZPQ4T7AGOOW2UFWD6REA","bundle":"https://pith.science/pith/OU4T5CZPQ4T7AGOOW2UFWD6REA/bundle.json","state":"https://pith.science/pith/OU4T5CZPQ4T7AGOOW2UFWD6REA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OU4T5CZPQ4T7AGOOW2UFWD6REA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OU4T5CZPQ4T7AGOOW2UFWD6REA","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":"994f354baaf67052df82766a94e2abc22b405e475a58279a787c48a01c21fdd2","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T23:14:27Z","title_canon_sha256":"0016dd2b1d183345ddcb06e4fcb3cf2ddf3976b6e8b06da82d852c3559c4a7c9"},"schema_version":"1.0","source":{"id":"1605.01456","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01456","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01456v1","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01456","created_at":"2026-05-18T01:10:37Z"},{"alias_kind":"pith_short_12","alias_value":"OU4T5CZPQ4T7","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OU4T5CZPQ4T7AGOO","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OU4T5CZP","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:bcaddf4339d76fa5a049a3a9ddbc22497aca12d06b6668eaeff43405f441bc78","target":"graph","created_at":"2026-05-18T01:10:37Z","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":"In this paper we perform a systematic study of vacuum spatially flat ((3+D)+1)-dimensional Einstein-Gauss-Bonnet cosmological models. We consider models which topologically are the product of two flat isotropic subspaces with different scale factors. One of these subspaces is 3D and represents our space and the other is D-dimensional and represents extra dimensions. We consider no ansatz of the scale factors, which makes our results quite general. With both Einstein-Hilbert and Gauss-Bonnet contributions in play, the cases with D=1, D=2, D=3 and $D\\geqslant 4$ have different dynamics due to di","authors_text":"Sergey A. Pavluchenko","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T23:14:27Z","title":"Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions. Vacuum case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01456","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":"sha256:51c579561ba04d42511cd9bcfee3049bbacf9903dd733d602023cc349bc7da79","target":"record","created_at":"2026-05-18T01:10:37Z","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":"994f354baaf67052df82766a94e2abc22b405e475a58279a787c48a01c21fdd2","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T23:14:27Z","title_canon_sha256":"0016dd2b1d183345ddcb06e4fcb3cf2ddf3976b6e8b06da82d852c3559c4a7c9"},"schema_version":"1.0","source":{"id":"1605.01456","kind":"arxiv","version":1}},"canonical_sha256":"75393e8b2f8727f019ceb6a85b0fd1200115642aefd38c50c9447e2da6f335a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75393e8b2f8727f019ceb6a85b0fd1200115642aefd38c50c9447e2da6f335a2","first_computed_at":"2026-05-18T01:10:37.618135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:37.618135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YPdFfQooAdZcymmAbRpcQUoNRp/DqZJD5E9V+jUrvoG1meyT60ws4l18/jfxOYvvfv8VIcj89BMpa1pifq+oDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:37.618630Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01456","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51c579561ba04d42511cd9bcfee3049bbacf9903dd733d602023cc349bc7da79","sha256:bcaddf4339d76fa5a049a3a9ddbc22497aca12d06b6668eaeff43405f441bc78"],"state_sha256":"9eb89ad3ddafe8ba32d1891ade432917556f4100bd9adef372fc46aab9b73648"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gB69+cbmRel96e79YiRMc4tiajQjYAyy3lTfQ3g3Cr2TG8bjclZSTVuqDhgDaRBXTCUTol7CoIt5cWYPug7+AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T14:08:18.735426Z","bundle_sha256":"d84679679fa0dc00c88d9c7f3abe80898dbb6135fa242d75c103253b3069b80a"}}