{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:D6NUWU343H64ABIUOZ3SOXFIEL","short_pith_number":"pith:D6NUWU34","canonical_record":{"source":{"id":"1711.09484","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-11-26T23:02:15Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"29ae50b1e1f5e7b0cc0eb0782b36668fb37a554f5a41bbf0f9b7c61d28097b97","abstract_canon_sha256":"f917e2c011f905cd49bf0240660b6bb91d4fe16db5ee3082e37f453f0d9c8c76"},"schema_version":"1.0"},"canonical_sha256":"1f9b4b537cd9fdc005147677275ca822ea7f57c11d843d196fb4afeb18e75cf9","source":{"kind":"arxiv","id":"1711.09484","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09484","created_at":"2026-05-18T00:21:09Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09484v2","created_at":"2026-05-18T00:21:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09484","created_at":"2026-05-18T00:21:09Z"},{"alias_kind":"pith_short_12","alias_value":"D6NUWU343H64","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"D6NUWU343H64ABIU","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"D6NUWU34","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:D6NUWU343H64ABIUOZ3SOXFIEL","target":"record","payload":{"canonical_record":{"source":{"id":"1711.09484","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-11-26T23:02:15Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"29ae50b1e1f5e7b0cc0eb0782b36668fb37a554f5a41bbf0f9b7c61d28097b97","abstract_canon_sha256":"f917e2c011f905cd49bf0240660b6bb91d4fe16db5ee3082e37f453f0d9c8c76"},"schema_version":"1.0"},"canonical_sha256":"1f9b4b537cd9fdc005147677275ca822ea7f57c11d843d196fb4afeb18e75cf9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:09.469743Z","signature_b64":"uihUQdOqe+lOwVrqfbji1A+fPDLoxHH7SitiqAjcDVjKn6usL7pjsS9ls7JaRPK80L8ILCNFinN5jhh97QFoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f9b4b537cd9fdc005147677275ca822ea7f57c11d843d196fb4afeb18e75cf9","last_reissued_at":"2026-05-18T00:21:09.469312Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:09.469312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.09484","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":"2026-05-18T00:21:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r81aLnHEglL8ruyoaToRufef8FTiTcVO6gUWG5TvvikKD5zR/3TJyMFVZTF0K/4/WExxJhEu57EuTuijTsvrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:22:38.500201Z"},"content_sha256":"22e6bacd2686c2a271fa8b42113d486075f308ca57e4a42be526b61e55358ca7","schema_version":"1.0","event_id":"sha256:22e6bacd2686c2a271fa8b42113d486075f308ca57e4a42be526b61e55358ca7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:D6NUWU343H64ABIUOZ3SOXFIEL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauss-Bonnet models with cosmological constant and non zero spatial curvature in $D=4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"J. Osorio Morales, Juan M. Armaleo, O. Santillan","submitted_at":"2017-11-26T23:02:15Z","abstract_excerpt":"In the present paper the possibility of eternal universes in Gauss-Bonnet theories of gravity in four dimensions is analysed. It is shown that, for zero spatial curvature and zero cosmological constant, if the coupling is such that $0<f'(\\phi)\\leq c \\exp(\\frac{\\sqrt{8}}{\\sqrt{10}}\\phi)$, then there are solutions that are eternal. Similar conclusions are found when a cosmological constant turned on. These conclusions are not generalized for the case when the spatial curvature is present, but we are able to find some general results about the possible nature of the singularities. The presented r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09484","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":"2026-05-18T00:21:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4ohvwJeldI4KXQ0LKzem5uZeGqzFqfdWmgd8qTkW/diezjqeVCK3+gKwgsdfs2aSDLUPwZsPi9Url742TPGIAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T19:22:38.500855Z"},"content_sha256":"86009b131542e90a9828c7a7e3c65294776c7ae8fc97e88cdd02b3218c981dd4","schema_version":"1.0","event_id":"sha256:86009b131542e90a9828c7a7e3c65294776c7ae8fc97e88cdd02b3218c981dd4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6NUWU343H64ABIUOZ3SOXFIEL/bundle.json","state_url":"https://pith.science/pith/D6NUWU343H64ABIUOZ3SOXFIEL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6NUWU343H64ABIUOZ3SOXFIEL/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":"2026-06-23T19:22:38Z","links":{"resolver":"https://pith.science/pith/D6NUWU343H64ABIUOZ3SOXFIEL","bundle":"https://pith.science/pith/D6NUWU343H64ABIUOZ3SOXFIEL/bundle.json","state":"https://pith.science/pith/D6NUWU343H64ABIUOZ3SOXFIEL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6NUWU343H64ABIUOZ3SOXFIEL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:D6NUWU343H64ABIUOZ3SOXFIEL","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":"f917e2c011f905cd49bf0240660b6bb91d4fe16db5ee3082e37f453f0d9c8c76","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-11-26T23:02:15Z","title_canon_sha256":"29ae50b1e1f5e7b0cc0eb0782b36668fb37a554f5a41bbf0f9b7c61d28097b97"},"schema_version":"1.0","source":{"id":"1711.09484","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09484","created_at":"2026-05-18T00:21:09Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09484v2","created_at":"2026-05-18T00:21:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09484","created_at":"2026-05-18T00:21:09Z"},{"alias_kind":"pith_short_12","alias_value":"D6NUWU343H64","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"D6NUWU343H64ABIU","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"D6NUWU34","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:86009b131542e90a9828c7a7e3c65294776c7ae8fc97e88cdd02b3218c981dd4","target":"graph","created_at":"2026-05-18T00:21:09Z","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 the present paper the possibility of eternal universes in Gauss-Bonnet theories of gravity in four dimensions is analysed. It is shown that, for zero spatial curvature and zero cosmological constant, if the coupling is such that $0<f'(\\phi)\\leq c \\exp(\\frac{\\sqrt{8}}{\\sqrt{10}}\\phi)$, then there are solutions that are eternal. Similar conclusions are found when a cosmological constant turned on. These conclusions are not generalized for the case when the spatial curvature is present, but we are able to find some general results about the possible nature of the singularities. The presented r","authors_text":"J. Osorio Morales, Juan M. Armaleo, O. Santillan","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-11-26T23:02:15Z","title":"Gauss-Bonnet models with cosmological constant and non zero spatial curvature in $D=4$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09484","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":"sha256:22e6bacd2686c2a271fa8b42113d486075f308ca57e4a42be526b61e55358ca7","target":"record","created_at":"2026-05-18T00:21:09Z","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":"f917e2c011f905cd49bf0240660b6bb91d4fe16db5ee3082e37f453f0d9c8c76","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-11-26T23:02:15Z","title_canon_sha256":"29ae50b1e1f5e7b0cc0eb0782b36668fb37a554f5a41bbf0f9b7c61d28097b97"},"schema_version":"1.0","source":{"id":"1711.09484","kind":"arxiv","version":2}},"canonical_sha256":"1f9b4b537cd9fdc005147677275ca822ea7f57c11d843d196fb4afeb18e75cf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f9b4b537cd9fdc005147677275ca822ea7f57c11d843d196fb4afeb18e75cf9","first_computed_at":"2026-05-18T00:21:09.469312Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:09.469312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uihUQdOqe+lOwVrqfbji1A+fPDLoxHH7SitiqAjcDVjKn6usL7pjsS9ls7JaRPK80L8ILCNFinN5jhh97QFoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:09.469743Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.09484","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22e6bacd2686c2a271fa8b42113d486075f308ca57e4a42be526b61e55358ca7","sha256:86009b131542e90a9828c7a7e3c65294776c7ae8fc97e88cdd02b3218c981dd4"],"state_sha256":"ca4383f71339ce35414a00d5f79764dbd0b957c5f6d9845b81477dab7d104d56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QtnuWb59ojBqIzS7SzenSEYa902pz5IiXVX9CLBFYwSVD552PDkjD5PdVV2hxxCubUP+urCWGMkJHDG76xiJBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T19:22:38.503144Z","bundle_sha256":"d1adb307ce96313c7229400c01e8b682bf1e52aeb3fdb86f8d4d198359dd7961"}}