{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:KJVQWTG7466T3AXFMDNGZVELL2","short_pith_number":"pith:KJVQWTG7","canonical_record":{"source":{"id":"1908.07778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-21T10:16:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7beed8cd722072c7ebd3385c4f398a8342ac6ff94f7a4f7743ebeb090bf53b6b","abstract_canon_sha256":"23983ade1c4e91ec98e7dd03a9a5683b340a07991902cc8455d2b92164847d95"},"schema_version":"1.0"},"canonical_sha256":"526b0b4cdfe7bd3d82e560da6cd48b5e85a89026124ad99d45089717f9d81f09","source":{"kind":"arxiv","id":"1908.07778","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07778","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07778v2","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07778","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"pith_short_12","alias_value":"KJVQWTG7466T","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"pith_short_16","alias_value":"KJVQWTG7466T3AXF","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"pith_short_8","alias_value":"KJVQWTG7","created_at":"2026-07-05T01:08:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:KJVQWTG7466T3AXFMDNGZVELL2","target":"record","payload":{"canonical_record":{"source":{"id":"1908.07778","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-21T10:16:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7beed8cd722072c7ebd3385c4f398a8342ac6ff94f7a4f7743ebeb090bf53b6b","abstract_canon_sha256":"23983ade1c4e91ec98e7dd03a9a5683b340a07991902cc8455d2b92164847d95"},"schema_version":"1.0"},"canonical_sha256":"526b0b4cdfe7bd3d82e560da6cd48b5e85a89026124ad99d45089717f9d81f09","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:08:10.028398Z","signature_b64":"yItOgbNUvrLNRF6TlQvnOmtBd5HKfX6mBmjG4V8wnD8fBSKCixtMuwo1KOyUkejKCO0PaZTvn8cXhFV+HBP2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"526b0b4cdfe7bd3d82e560da6cd48b5e85a89026124ad99d45089717f9d81f09","last_reissued_at":"2026-07-05T01:08:10.027918Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:08:10.027918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.07778","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":"2026-07-05T01:08:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OFe8DTg+EMoAlPPKe+gCzXkhSIs25L3RAqfmgla2GheUuMM1yFh0dNtfhKVAZ1u9lhb1jo1F/TWCosSnZhpOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T08:41:18.889265Z"},"content_sha256":"5737555f112067611f20a1d43a40dc93215ab74816c9e78707811747d5d1e335","schema_version":"1.0","event_id":"sha256:5737555f112067611f20a1d43a40dc93215ab74816c9e78707811747d5d1e335"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:KJVQWTG7466T3AXFMDNGZVELL2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological phase space of generalized hybrid metric-Palatini theories of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jo\\~ao L. Rosa, Jos\\'e P. S. Lemos, Sante Carloni","submitted_at":"2019-08-21T10:16:55Z","abstract_excerpt":"Using a dynamical system approach we study the cosmological phase space of the generalized hybrid metric-Palatini gravity theory, characterized by the function $f\\left(R,\\mathcal R\\right)$, where $R$ is the metric scalar curvature and $\\mathcal R$ the Palatini scalar curvature of the spacetime. We formulate the propagation equations of the suitable dimensionless variables that describe FLRW universes as an autonomous system. The fixed points are obtained for four different forms of the function $f\\left(R,\\mathcal R\\right)$, and the behavior of the cosmic scale factor $a(t)$ is computed. We sho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07778","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.07778/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:08:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lz5shx+pIPwhwVsy4SmHaI2opglMUH22oKRQ0Leik3R38yMJBqxG3pktIpAJpoctsN0YxIeERgeHRXFg+lzSCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T08:41:18.889785Z"},"content_sha256":"520a2fb72ae373443f8a3aa76d675c65725a54f9bf36bbabc52e743b2d671b72","schema_version":"1.0","event_id":"sha256:520a2fb72ae373443f8a3aa76d675c65725a54f9bf36bbabc52e743b2d671b72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KJVQWTG7466T3AXFMDNGZVELL2/bundle.json","state_url":"https://pith.science/pith/KJVQWTG7466T3AXFMDNGZVELL2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KJVQWTG7466T3AXFMDNGZVELL2/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":"2026-08-13T08:41:18Z","links":{"resolver":"https://pith.science/pith/KJVQWTG7466T3AXFMDNGZVELL2","bundle":"https://pith.science/pith/KJVQWTG7466T3AXFMDNGZVELL2/bundle.json","state":"https://pith.science/pith/KJVQWTG7466T3AXFMDNGZVELL2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KJVQWTG7466T3AXFMDNGZVELL2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KJVQWTG7466T3AXFMDNGZVELL2","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":"23983ade1c4e91ec98e7dd03a9a5683b340a07991902cc8455d2b92164847d95","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-21T10:16:55Z","title_canon_sha256":"7beed8cd722072c7ebd3385c4f398a8342ac6ff94f7a4f7743ebeb090bf53b6b"},"schema_version":"1.0","source":{"id":"1908.07778","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.07778","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"arxiv_version","alias_value":"1908.07778v2","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.07778","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"pith_short_12","alias_value":"KJVQWTG7466T","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"pith_short_16","alias_value":"KJVQWTG7466T3AXF","created_at":"2026-07-05T01:08:10Z"},{"alias_kind":"pith_short_8","alias_value":"KJVQWTG7","created_at":"2026-07-05T01:08:10Z"}],"graph_snapshots":[{"event_id":"sha256:520a2fb72ae373443f8a3aa76d675c65725a54f9bf36bbabc52e743b2d671b72","target":"graph","created_at":"2026-07-05T01:08:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.07778/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using a dynamical system approach we study the cosmological phase space of the generalized hybrid metric-Palatini gravity theory, characterized by the function $f\\left(R,\\mathcal R\\right)$, where $R$ is the metric scalar curvature and $\\mathcal R$ the Palatini scalar curvature of the spacetime. We formulate the propagation equations of the suitable dimensionless variables that describe FLRW universes as an autonomous system. The fixed points are obtained for four different forms of the function $f\\left(R,\\mathcal R\\right)$, and the behavior of the cosmic scale factor $a(t)$ is computed. We sho","authors_text":"Jo\\~ao L. Rosa, Jos\\'e P. S. Lemos, Sante Carloni","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-21T10:16:55Z","title":"Cosmological phase space of generalized hybrid metric-Palatini theories of gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.07778","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":"sha256:5737555f112067611f20a1d43a40dc93215ab74816c9e78707811747d5d1e335","target":"record","created_at":"2026-07-05T01:08:10Z","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":"23983ade1c4e91ec98e7dd03a9a5683b340a07991902cc8455d2b92164847d95","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-08-21T10:16:55Z","title_canon_sha256":"7beed8cd722072c7ebd3385c4f398a8342ac6ff94f7a4f7743ebeb090bf53b6b"},"schema_version":"1.0","source":{"id":"1908.07778","kind":"arxiv","version":2}},"canonical_sha256":"526b0b4cdfe7bd3d82e560da6cd48b5e85a89026124ad99d45089717f9d81f09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"526b0b4cdfe7bd3d82e560da6cd48b5e85a89026124ad99d45089717f9d81f09","first_computed_at":"2026-07-05T01:08:10.027918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:08:10.027918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yItOgbNUvrLNRF6TlQvnOmtBd5HKfX6mBmjG4V8wnD8fBSKCixtMuwo1KOyUkejKCO0PaZTvn8cXhFV+HBP2Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:08:10.028398Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.07778","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5737555f112067611f20a1d43a40dc93215ab74816c9e78707811747d5d1e335","sha256:520a2fb72ae373443f8a3aa76d675c65725a54f9bf36bbabc52e743b2d671b72"],"state_sha256":"359ce14a5b9cf44fac71780f245d95f5c1b1addf3011b9a8d79907b4b4292d73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j4vwkzkgRr+OwQ1PM5QAy059iGabBX3YRtVhP9MRa/2IWzY9RZICsO9AmUsHxCVH39pMQ5G7UUTWEZDsO8HxDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T08:41:18.908752Z","bundle_sha256":"399d1e60cfc7867619f65bb9ed083c3554308f03324b8863aa1eafa7b36d0054"}}