{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ABRBEAX4YORZ2VT3IOOAEUV56H","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":"6bad253b642198f161fc59112488661172ab23cad72f3cc30de9a47b26a4e0e2","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-09-19T18:38:51Z","title_canon_sha256":"d97d4cdbca94a52ba54f91cc62ec5ef748cf56c9883415192c6131e997f00b51"},"schema_version":"1.0","source":{"id":"1209.4326","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.4326","created_at":"2026-05-18T01:54:20Z"},{"alias_kind":"arxiv_version","alias_value":"1209.4326v2","created_at":"2026-05-18T01:54:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4326","created_at":"2026-05-18T01:54:20Z"},{"alias_kind":"pith_short_12","alias_value":"ABRBEAX4YORZ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"ABRBEAX4YORZ2VT3","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"ABRBEAX4","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:b63c63380893de9828868a42ddb4a4428dbb9216b3887ab55e8998af4c0808d6","target":"graph","created_at":"2026-05-18T01:54:20Z","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":"After recalling a general non-perturbative expression for the luminosity-redshift relation holding in a recently proposed \"geodesic light-cone\" gauge, we show how it can be transformed to phenomenologically more convenient gauges in which cosmological perturbation theory is better understood. We present, in particular, the complete result on the luminosity-redshift relation in the Poisson gauge up to second order for a fairly generic perturbed cosmology, assuming that appreciable vector and tensor perturbations are only generated at second order. This relation provides a basic ingredient for t","authors_text":"Fabien Nugier, Gabriele Veneziano, Giovanni Marozzi, Ido Ben-Dayan","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-09-19T18:38:51Z","title":"The second-order luminosity-redshift relation in a generic inhomogeneous cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4326","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:a0784d9a270da8bbf1eaba9f6af3987e918aaa439b3bef5ef7c9e5d3a63d6eda","target":"record","created_at":"2026-05-18T01:54:20Z","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":"6bad253b642198f161fc59112488661172ab23cad72f3cc30de9a47b26a4e0e2","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-09-19T18:38:51Z","title_canon_sha256":"d97d4cdbca94a52ba54f91cc62ec5ef748cf56c9883415192c6131e997f00b51"},"schema_version":"1.0","source":{"id":"1209.4326","kind":"arxiv","version":2}},"canonical_sha256":"00621202fcc3a39d567b439c0252bdf1e64745556ab5e763bf862760ce554285","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00621202fcc3a39d567b439c0252bdf1e64745556ab5e763bf862760ce554285","first_computed_at":"2026-05-18T01:54:20.968055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:20.968055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IydIFb3nTKk3cvszOdYZyoi3T9X+TzNi4NhgZhSwWW9VyApBaP+o0By89jj+u8sIpUWeTTeBn/LV8jNS2CuOAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:20.968608Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.4326","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0784d9a270da8bbf1eaba9f6af3987e918aaa439b3bef5ef7c9e5d3a63d6eda","sha256:b63c63380893de9828868a42ddb4a4428dbb9216b3887ab55e8998af4c0808d6"],"state_sha256":"e0320190604fb66cc0472ec90c1edd9d721625154d44524a486c777c4dcc5659"}