{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:GJGMQ26WU7L276IDXUTFVGN65J","short_pith_number":"pith:GJGMQ26W","canonical_record":{"source":{"id":"astro-ph/0410135","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-10-06T00:45:49Z","cross_cats_sorted":[],"title_canon_sha256":"3a75fac3c3fb2437946fcc7c192e3b129d8de9f2732cff3b687d4329706d96a6","abstract_canon_sha256":"ab7b19bdde96d780974e00173b49f941a275bf5f8b4ef5468155f176728fd0b1"},"schema_version":"1.0"},"canonical_sha256":"324cc86bd6a7d7aff903bd265a99beea7fe86c91dd7d542357dfc5775796477c","source":{"kind":"arxiv","id":"astro-ph/0410135","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0410135","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0410135v1","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0410135","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"pith_short_12","alias_value":"GJGMQ26WU7L2","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"pith_short_16","alias_value":"GJGMQ26WU7L276ID","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"pith_short_8","alias_value":"GJGMQ26W","created_at":"2026-07-04T16:44:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:GJGMQ26WU7L276IDXUTFVGN65J","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0410135","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-10-06T00:45:49Z","cross_cats_sorted":[],"title_canon_sha256":"3a75fac3c3fb2437946fcc7c192e3b129d8de9f2732cff3b687d4329706d96a6","abstract_canon_sha256":"ab7b19bdde96d780974e00173b49f941a275bf5f8b4ef5468155f176728fd0b1"},"schema_version":"1.0"},"canonical_sha256":"324cc86bd6a7d7aff903bd265a99beea7fe86c91dd7d542357dfc5775796477c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:44:55.465423Z","signature_b64":"W4OsXc2ZzcSGQjShcUh3uOn0Zkg1twrwm7J6s4cVwI/jYDhlbP7KKJoPte1o0ZkZLNmLYqbLwByZDpUZKtE9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"324cc86bd6a7d7aff903bd265a99beea7fe86c91dd7d542357dfc5775796477c","last_reissued_at":"2026-07-04T16:44:55.465071Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:44:55.465071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0410135","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":"2026-07-04T16:44:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QSDLZ2z8XHJAdYghBrNIBfbLCEPA6X3LBINkQmuNRqUDFhFzrLyFmIa+hI4Mo4Mc0O9swIEKdwMgXAAFLlEMAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:01:23.861034Z"},"content_sha256":"5ec5ba71813b98774ebde96357f76ae7f17683640ce94903c3ddac40ddf1bf5a","schema_version":"1.0","event_id":"sha256:5ec5ba71813b98774ebde96357f76ae7f17683640ce94903c3ddac40ddf1bf5a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:GJGMQ26WU7L276IDXUTFVGN65J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"f(R) theories of gravity in Palatini approach matched with observations","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"M. Francaviglia, S. Capozziello, V.F. Cardone","submitted_at":"2004-10-06T00:45:49Z","abstract_excerpt":"We investigate the viability of f(R) theories in the framework of the Palatini approach as solutions to the problem of the observed accelerated expansion of the universe. Two physically motivated popular choices for f(R) are considered: power law, f(R) = \\beta R^n, and logarithmic, f(R) = \\alpha \\ln{R}. Under the Palatini approach, both Lagrangians give rise to cosmological models comprising only standard matter and undergoing a present phase of accelerated expansion. We use the Hubble diagram of type Ia Supernovae and the data on the gas mass fraction in relaxed galaxy clusters to see whether"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0410135","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0410135/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":"2026-07-04T16:44:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I9+JJzzGBkNqPOCkUNHTrh+7xDW2D2iTKmaCGo7HNrw+lmwfLZMIkrGSMXMrGDrLdbE5eD5CNUSqHiHBp8joCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:01:23.861628Z"},"content_sha256":"c963e1e0fb22da12bf4c8bdf60b992721caf03c7814ed1941cf3be7c0941996c","schema_version":"1.0","event_id":"sha256:c963e1e0fb22da12bf4c8bdf60b992721caf03c7814ed1941cf3be7c0941996c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GJGMQ26WU7L276IDXUTFVGN65J/bundle.json","state_url":"https://pith.science/pith/GJGMQ26WU7L276IDXUTFVGN65J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GJGMQ26WU7L276IDXUTFVGN65J/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":"2026-08-12T14:01:23Z","links":{"resolver":"https://pith.science/pith/GJGMQ26WU7L276IDXUTFVGN65J","bundle":"https://pith.science/pith/GJGMQ26WU7L276IDXUTFVGN65J/bundle.json","state":"https://pith.science/pith/GJGMQ26WU7L276IDXUTFVGN65J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GJGMQ26WU7L276IDXUTFVGN65J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:GJGMQ26WU7L276IDXUTFVGN65J","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":"ab7b19bdde96d780974e00173b49f941a275bf5f8b4ef5468155f176728fd0b1","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2004-10-06T00:45:49Z","title_canon_sha256":"3a75fac3c3fb2437946fcc7c192e3b129d8de9f2732cff3b687d4329706d96a6"},"schema_version":"1.0","source":{"id":"astro-ph/0410135","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0410135","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0410135v1","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0410135","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"pith_short_12","alias_value":"GJGMQ26WU7L2","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"pith_short_16","alias_value":"GJGMQ26WU7L276ID","created_at":"2026-07-04T16:44:55Z"},{"alias_kind":"pith_short_8","alias_value":"GJGMQ26W","created_at":"2026-07-04T16:44:55Z"}],"graph_snapshots":[{"event_id":"sha256:c963e1e0fb22da12bf4c8bdf60b992721caf03c7814ed1941cf3be7c0941996c","target":"graph","created_at":"2026-07-04T16:44:55Z","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/astro-ph/0410135/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the viability of f(R) theories in the framework of the Palatini approach as solutions to the problem of the observed accelerated expansion of the universe. Two physically motivated popular choices for f(R) are considered: power law, f(R) = \\beta R^n, and logarithmic, f(R) = \\alpha \\ln{R}. Under the Palatini approach, both Lagrangians give rise to cosmological models comprising only standard matter and undergoing a present phase of accelerated expansion. We use the Hubble diagram of type Ia Supernovae and the data on the gas mass fraction in relaxed galaxy clusters to see whether","authors_text":"M. Francaviglia, S. Capozziello, V.F. Cardone","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2004-10-06T00:45:49Z","title":"f(R) theories of gravity in Palatini approach matched with observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0410135","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":"sha256:5ec5ba71813b98774ebde96357f76ae7f17683640ce94903c3ddac40ddf1bf5a","target":"record","created_at":"2026-07-04T16:44:55Z","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":"ab7b19bdde96d780974e00173b49f941a275bf5f8b4ef5468155f176728fd0b1","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2004-10-06T00:45:49Z","title_canon_sha256":"3a75fac3c3fb2437946fcc7c192e3b129d8de9f2732cff3b687d4329706d96a6"},"schema_version":"1.0","source":{"id":"astro-ph/0410135","kind":"arxiv","version":1}},"canonical_sha256":"324cc86bd6a7d7aff903bd265a99beea7fe86c91dd7d542357dfc5775796477c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"324cc86bd6a7d7aff903bd265a99beea7fe86c91dd7d542357dfc5775796477c","first_computed_at":"2026-07-04T16:44:55.465071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:44:55.465071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W4OsXc2ZzcSGQjShcUh3uOn0Zkg1twrwm7J6s4cVwI/jYDhlbP7KKJoPte1o0ZkZLNmLYqbLwByZDpUZKtE9CQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:44:55.465423Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0410135","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ec5ba71813b98774ebde96357f76ae7f17683640ce94903c3ddac40ddf1bf5a","sha256:c963e1e0fb22da12bf4c8bdf60b992721caf03c7814ed1941cf3be7c0941996c"],"state_sha256":"54eb2e6ad2556b0e287d0c3cd146319d75422f9111107710e743b58003cba54e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LbEAwjGaiid0KAUHcgWEttZRGovgy2N6DwJoTbWjYedAibP4Ca8CCDtPyZWV/OSTthHuxFNuNTG81oca06mgCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T14:01:23.865849Z","bundle_sha256":"3ad494404146c58d39066ec1be53b873bc1283fd4f023f1449ff9eaf04226503"}}