{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TAUTAIFOTWZHC2ZNBLOYSN3PM2","short_pith_number":"pith:TAUTAIFO","canonical_record":{"source":{"id":"1305.3756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-16T10:50:23Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"10181ec12ce52f0c75e8eb59f2ddd2e04674fd65ea901188db79ab9b31bcd4de","abstract_canon_sha256":"2188c95e743beaf86a40b0916fa0a930db66cf0a7440afdb33524aed505ff7b0"},"schema_version":"1.0"},"canonical_sha256":"98293020ae9db2716b2d0add89376f668f76f100b88147ff23f5ce11f2e3058b","source":{"kind":"arxiv","id":"1305.3756","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3756","created_at":"2026-05-18T03:15:20Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3756v2","created_at":"2026-05-18T03:15:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3756","created_at":"2026-05-18T03:15:20Z"},{"alias_kind":"pith_short_12","alias_value":"TAUTAIFOTWZH","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TAUTAIFOTWZHC2ZN","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TAUTAIFO","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TAUTAIFOTWZHC2ZNBLOYSN3PM2","target":"record","payload":{"canonical_record":{"source":{"id":"1305.3756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-16T10:50:23Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"10181ec12ce52f0c75e8eb59f2ddd2e04674fd65ea901188db79ab9b31bcd4de","abstract_canon_sha256":"2188c95e743beaf86a40b0916fa0a930db66cf0a7440afdb33524aed505ff7b0"},"schema_version":"1.0"},"canonical_sha256":"98293020ae9db2716b2d0add89376f668f76f100b88147ff23f5ce11f2e3058b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:20.583567Z","signature_b64":"vqiT/utJtKAARX4gI/SVsigyMHwFVt0lN1d5JHEvlEJsMKlRNsibxX6FH/Xszd5TbrtXmmDlCv//mvl2rwNxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98293020ae9db2716b2d0add89376f668f76f100b88147ff23f5ce11f2e3058b","last_reissued_at":"2026-05-18T03:15:20.582842Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:20.582842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.3756","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":"2026-05-18T03:15:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2hA36KJX4+wUhs8rFmQ8om7JFVOA8ALcRbT2bpiaLa6VVKIaQEA2+J3fqxH70guH75lM5ARPSfjT3cZ2vUiFBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T01:26:20.786185Z"},"content_sha256":"67062d6d6d4ee6e2b738923db6ee6c25782390fde5eab669102711e92ec4482b","schema_version":"1.0","event_id":"sha256:67062d6d6d4ee6e2b738923db6ee6c25782390fde5eab669102711e92ec4482b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TAUTAIFOTWZHC2ZNBLOYSN3PM2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hybrid modified gravity unifying local tests, galactic dynamics and late-time cosmic acceleration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Francisco S. N. Lobo, Gonzalo J. Olmo, Salvatore Capozziello, Tiberiu Harko","submitted_at":"2013-05-16T10:50:23Z","abstract_excerpt":"The non-equivalence between the metric and Palatini formalisms of $f(R)$ gravity is an intriguing feature of these theories. However, in the recently proposed hybrid metric-Palatini gravity, consisting of the superposition of the metric Einstein-Hilbert Lagrangian with an $f(\\cal R)$ term constructed \\`{a} la Palatini, the \"true\" gravitational field is described by the interpolation of these two non-equivalent approaches. The theory predicts the existence of a light long-range scalar field, which passes the local constraints and affects the galactic and cosmological dynamics. Thus, the theory "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3756","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":"2026-05-18T03:15:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/PPH5xHVWd6wAUT4JSbDwrBYSyzGh7zwGGzoCeBtnX3IoGXL/4zo/cSIvriEf4ps/kAeaum+opVZU7oujDu+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T01:26:20.786610Z"},"content_sha256":"b2c7b32e6affcad7794042f69ac256334ce0e58243c4503bd6f3f2cd6093608a","schema_version":"1.0","event_id":"sha256:b2c7b32e6affcad7794042f69ac256334ce0e58243c4503bd6f3f2cd6093608a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TAUTAIFOTWZHC2ZNBLOYSN3PM2/bundle.json","state_url":"https://pith.science/pith/TAUTAIFOTWZHC2ZNBLOYSN3PM2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TAUTAIFOTWZHC2ZNBLOYSN3PM2/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":"2026-05-25T01:26:20Z","links":{"resolver":"https://pith.science/pith/TAUTAIFOTWZHC2ZNBLOYSN3PM2","bundle":"https://pith.science/pith/TAUTAIFOTWZHC2ZNBLOYSN3PM2/bundle.json","state":"https://pith.science/pith/TAUTAIFOTWZHC2ZNBLOYSN3PM2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TAUTAIFOTWZHC2ZNBLOYSN3PM2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TAUTAIFOTWZHC2ZNBLOYSN3PM2","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":"2188c95e743beaf86a40b0916fa0a930db66cf0a7440afdb33524aed505ff7b0","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-16T10:50:23Z","title_canon_sha256":"10181ec12ce52f0c75e8eb59f2ddd2e04674fd65ea901188db79ab9b31bcd4de"},"schema_version":"1.0","source":{"id":"1305.3756","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3756","created_at":"2026-05-18T03:15:20Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3756v2","created_at":"2026-05-18T03:15:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3756","created_at":"2026-05-18T03:15:20Z"},{"alias_kind":"pith_short_12","alias_value":"TAUTAIFOTWZH","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TAUTAIFOTWZHC2ZN","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TAUTAIFO","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:b2c7b32e6affcad7794042f69ac256334ce0e58243c4503bd6f3f2cd6093608a","target":"graph","created_at":"2026-05-18T03:15:20Z","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":"The non-equivalence between the metric and Palatini formalisms of $f(R)$ gravity is an intriguing feature of these theories. However, in the recently proposed hybrid metric-Palatini gravity, consisting of the superposition of the metric Einstein-Hilbert Lagrangian with an $f(\\cal R)$ term constructed \\`{a} la Palatini, the \"true\" gravitational field is described by the interpolation of these two non-equivalent approaches. The theory predicts the existence of a light long-range scalar field, which passes the local constraints and affects the galactic and cosmological dynamics. Thus, the theory ","authors_text":"Francisco S. N. Lobo, Gonzalo J. Olmo, Salvatore Capozziello, Tiberiu Harko","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-16T10:50:23Z","title":"Hybrid modified gravity unifying local tests, galactic dynamics and late-time cosmic acceleration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3756","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":"sha256:67062d6d6d4ee6e2b738923db6ee6c25782390fde5eab669102711e92ec4482b","target":"record","created_at":"2026-05-18T03:15:20Z","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":"2188c95e743beaf86a40b0916fa0a930db66cf0a7440afdb33524aed505ff7b0","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-16T10:50:23Z","title_canon_sha256":"10181ec12ce52f0c75e8eb59f2ddd2e04674fd65ea901188db79ab9b31bcd4de"},"schema_version":"1.0","source":{"id":"1305.3756","kind":"arxiv","version":2}},"canonical_sha256":"98293020ae9db2716b2d0add89376f668f76f100b88147ff23f5ce11f2e3058b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98293020ae9db2716b2d0add89376f668f76f100b88147ff23f5ce11f2e3058b","first_computed_at":"2026-05-18T03:15:20.582842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:20.582842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vqiT/utJtKAARX4gI/SVsigyMHwFVt0lN1d5JHEvlEJsMKlRNsibxX6FH/Xszd5TbrtXmmDlCv//mvl2rwNxAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:20.583567Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3756","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67062d6d6d4ee6e2b738923db6ee6c25782390fde5eab669102711e92ec4482b","sha256:b2c7b32e6affcad7794042f69ac256334ce0e58243c4503bd6f3f2cd6093608a"],"state_sha256":"418863e40a780a0e2d86e2d9d98048021dce7a7c43a1097efe5e55ed9c18012a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pXBrfpngyYoeXwC3e6xNpYIHPVmMYKKZNrZa2uFTV8VZbme6zk3xFAmvmD6cpn+wxegVfEj+jqV7Ixz7kqVXCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T01:26:20.790306Z","bundle_sha256":"8518964551d2ebc024ecaa504c7ff4ba2126ec3d0f6c405c6dec9a0dac840172"}}