{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PWJAYM575UQODQK26NEBEVENLL","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":"18133e5a33ab87e6ae8086c399859df816c143b1cf17a355d184166fbe0979f5","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-09-11T08:32:25Z","title_canon_sha256":"d92ded24904748ec41723932abc3cc875a932fd93bc64658a7fdbd6a05c49871"},"schema_version":"1.0","source":{"id":"2509.09247","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.09247","created_at":"2026-07-05T12:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"2509.09247v1","created_at":"2026-07-05T12:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.09247","created_at":"2026-07-05T12:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"PWJAYM575UQO","created_at":"2026-07-05T12:09:32Z"},{"alias_kind":"pith_short_16","alias_value":"PWJAYM575UQODQK2","created_at":"2026-07-05T12:09:32Z"},{"alias_kind":"pith_short_8","alias_value":"PWJAYM57","created_at":"2026-07-05T12:09:32Z"}],"graph_snapshots":[{"event_id":"sha256:642abadfbde26e4060861532c19eaa7468454ec6417dd2d2d6d170f1c94277e8","target":"graph","created_at":"2026-07-05T12:09:32Z","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/2509.09247/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Deviations from the so-called {\\it cosmic distance duality relation} may result from systematic errors in distance measurements or, more interestingly, hint at new physics. Further, it can also be related to the Hubble constant tension between early and local measurements of $H_0$. Based on this, we test validity of this relation through a model-independent parameterization of the Hubble rate via the well-estabilished B\\'ezier polynomials approach. We seek for possible departures from the relation considering three parametrizations, i) a power-law correction, ii) a logarithmic correction and i","authors_text":"Anna Chiara Alfano, Carlo Cafaro, Marco Muccino, Orlando Luongo, Salvatore Capozziello","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-09-11T08:32:25Z","title":"Investigating the cosmic distance duality relation with gamma-ray bursts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.09247","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":"sha256:2757ba34d045c990334f7a2926c79f19c67c7178db7055d44bf462fe94d32d0f","target":"record","created_at":"2026-07-05T12:09:32Z","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":"18133e5a33ab87e6ae8086c399859df816c143b1cf17a355d184166fbe0979f5","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2025-09-11T08:32:25Z","title_canon_sha256":"d92ded24904748ec41723932abc3cc875a932fd93bc64658a7fdbd6a05c49871"},"schema_version":"1.0","source":{"id":"2509.09247","kind":"arxiv","version":1}},"canonical_sha256":"7d920c33bfed20e1c15af34812548d5ad6015d451c1b2762e3501d29c91cf512","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d920c33bfed20e1c15af34812548d5ad6015d451c1b2762e3501d29c91cf512","first_computed_at":"2026-07-05T12:09:32.207363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:09:32.207363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9+3T1o3Xxlt+miIRN5fUTOD+l+dvxkTCLmop5C2QKStP/MQ54E1rxaOaOymSinSR07xGB5srfZu3ecvIfz7YCw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:09:32.207817Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.09247","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2757ba34d045c990334f7a2926c79f19c67c7178db7055d44bf462fe94d32d0f","sha256:642abadfbde26e4060861532c19eaa7468454ec6417dd2d2d6d170f1c94277e8"],"state_sha256":"122a7dde5ff0a7ad8202e6d9a28fcc416fa0f9ca514f4d80b751d8197a61ad83"}