{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WSO636CR4PCV6ZZAPT2EVKIPAP","short_pith_number":"pith:WSO636CR","canonical_record":{"source":{"id":"1612.07178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T15:21:26Z","cross_cats_sorted":[],"title_canon_sha256":"78671be44ca732ba1f415900be678109505a214e89fcd4e6b3dce0f2b04a4552","abstract_canon_sha256":"a7f8d3143af5a6d9ad19e67d617ee66246f05a2532868ef062a7655feb98fa20"},"schema_version":"1.0"},"canonical_sha256":"b49dedf851e3c55f67207cf44aa90f03f6493af3d23e4651c07d2d464473e2c9","source":{"kind":"arxiv","id":"1612.07178","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07178","created_at":"2026-05-18T00:53:57Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07178v1","created_at":"2026-05-18T00:53:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07178","created_at":"2026-05-18T00:53:57Z"},{"alias_kind":"pith_short_12","alias_value":"WSO636CR4PCV","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WSO636CR4PCV6ZZA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WSO636CR","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WSO636CR4PCV6ZZAPT2EVKIPAP","target":"record","payload":{"canonical_record":{"source":{"id":"1612.07178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T15:21:26Z","cross_cats_sorted":[],"title_canon_sha256":"78671be44ca732ba1f415900be678109505a214e89fcd4e6b3dce0f2b04a4552","abstract_canon_sha256":"a7f8d3143af5a6d9ad19e67d617ee66246f05a2532868ef062a7655feb98fa20"},"schema_version":"1.0"},"canonical_sha256":"b49dedf851e3c55f67207cf44aa90f03f6493af3d23e4651c07d2d464473e2c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:57.301709Z","signature_b64":"y+hy/Ej7nE+6PncEzAr6QHMLH0wqsYfvUTR7TqdxppMbDSjtWg1XG/qyL5bNLqfDa5UvxknjJsJuZT+DzvhlBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b49dedf851e3c55f67207cf44aa90f03f6493af3d23e4651c07d2d464473e2c9","last_reissued_at":"2026-05-18T00:53:57.301097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:57.301097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.07178","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":"2026-05-18T00:53:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rnwhO2hY5fu6VHkte/s0ZVm2PZms2+zpPmHRLbnYG2Ax0wq07+qUtTg6fyMBqiLYx3qIvKiNTwVXP1jnSzbDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:21:00.614816Z"},"content_sha256":"6221ff07cb2061f36deffacee798450ae68f7a9cd857d080f6e9d9c2a1acdcf9","schema_version":"1.0","event_id":"sha256:6221ff07cb2061f36deffacee798450ae68f7a9cd857d080f6e9d9c2a1acdcf9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WSO636CR4PCV6ZZAPT2EVKIPAP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On stable exponential solutions in Einstein-Gauss-Bonnet cosmology with zero variation of G","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"V. D. Ivashchuk","submitted_at":"2016-12-21T15:21:26Z","abstract_excerpt":"A D-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term Lambda is considered. Assuming diagonal cosmological metrics, we find, for certain non-zero Lambda new examples of solutions with an exponential time dependence of two scale factors, governed by two Hubble-like parameters H > 0 and h < 0, corresponding to submanifolds of dimensions m and l, respectively, with (m,l) = (4,2), (5,2), (5,3), (6,7), (7,5), (7,6) and D = 1 + m + l. Any of these solutions describes an exponential expansion of \"our\" 3-dimensional factor-space with Hubble parameter H and zero variati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07178","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":"2026-05-18T00:53:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KyI0N94o7daXOQ0cHTutVLPuk69whTIKXcCFS87LxYpn5PVterSSI+MX9pClYIszPj56J2+FzA5QxQCWAGn4Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:21:00.615159Z"},"content_sha256":"e783476eb0c04c3b323379f5a187e46c808667fa1c64b0178d6f34bb871ddf94","schema_version":"1.0","event_id":"sha256:e783476eb0c04c3b323379f5a187e46c808667fa1c64b0178d6f34bb871ddf94"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSO636CR4PCV6ZZAPT2EVKIPAP/bundle.json","state_url":"https://pith.science/pith/WSO636CR4PCV6ZZAPT2EVKIPAP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSO636CR4PCV6ZZAPT2EVKIPAP/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":"2026-05-28T10:21:00Z","links":{"resolver":"https://pith.science/pith/WSO636CR4PCV6ZZAPT2EVKIPAP","bundle":"https://pith.science/pith/WSO636CR4PCV6ZZAPT2EVKIPAP/bundle.json","state":"https://pith.science/pith/WSO636CR4PCV6ZZAPT2EVKIPAP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSO636CR4PCV6ZZAPT2EVKIPAP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WSO636CR4PCV6ZZAPT2EVKIPAP","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":"a7f8d3143af5a6d9ad19e67d617ee66246f05a2532868ef062a7655feb98fa20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T15:21:26Z","title_canon_sha256":"78671be44ca732ba1f415900be678109505a214e89fcd4e6b3dce0f2b04a4552"},"schema_version":"1.0","source":{"id":"1612.07178","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07178","created_at":"2026-05-18T00:53:57Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07178v1","created_at":"2026-05-18T00:53:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07178","created_at":"2026-05-18T00:53:57Z"},{"alias_kind":"pith_short_12","alias_value":"WSO636CR4PCV","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WSO636CR4PCV6ZZA","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WSO636CR","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:e783476eb0c04c3b323379f5a187e46c808667fa1c64b0178d6f34bb871ddf94","target":"graph","created_at":"2026-05-18T00:53:57Z","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":"A D-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term Lambda is considered. Assuming diagonal cosmological metrics, we find, for certain non-zero Lambda new examples of solutions with an exponential time dependence of two scale factors, governed by two Hubble-like parameters H > 0 and h < 0, corresponding to submanifolds of dimensions m and l, respectively, with (m,l) = (4,2), (5,2), (5,3), (6,7), (7,5), (7,6) and D = 1 + m + l. Any of these solutions describes an exponential expansion of \"our\" 3-dimensional factor-space with Hubble parameter H and zero variati","authors_text":"V. D. Ivashchuk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T15:21:26Z","title":"On stable exponential solutions in Einstein-Gauss-Bonnet cosmology with zero variation of G"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07178","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":"sha256:6221ff07cb2061f36deffacee798450ae68f7a9cd857d080f6e9d9c2a1acdcf9","target":"record","created_at":"2026-05-18T00:53:57Z","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":"a7f8d3143af5a6d9ad19e67d617ee66246f05a2532868ef062a7655feb98fa20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-21T15:21:26Z","title_canon_sha256":"78671be44ca732ba1f415900be678109505a214e89fcd4e6b3dce0f2b04a4552"},"schema_version":"1.0","source":{"id":"1612.07178","kind":"arxiv","version":1}},"canonical_sha256":"b49dedf851e3c55f67207cf44aa90f03f6493af3d23e4651c07d2d464473e2c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b49dedf851e3c55f67207cf44aa90f03f6493af3d23e4651c07d2d464473e2c9","first_computed_at":"2026-05-18T00:53:57.301097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:57.301097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y+hy/Ej7nE+6PncEzAr6QHMLH0wqsYfvUTR7TqdxppMbDSjtWg1XG/qyL5bNLqfDa5UvxknjJsJuZT+DzvhlBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:57.301709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.07178","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6221ff07cb2061f36deffacee798450ae68f7a9cd857d080f6e9d9c2a1acdcf9","sha256:e783476eb0c04c3b323379f5a187e46c808667fa1c64b0178d6f34bb871ddf94"],"state_sha256":"cc00055c627ad9fa2423674f3dfdae518fe845cc269d0b6bf6485e9ad19c0d80"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRRVo8i0jcSqywC/UhhMuInM5ba2trOzVM0NXciXx7QLipYC/VJnrbiAa38oJGFNLTJDf5BqHt+gslnq9cKDCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:21:00.617143Z","bundle_sha256":"b20bd26b65584561323204337b807fedac0609bfb87636cd86b7dad7ed96d564"}}