{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:M57WTBDUN4KOG7PLXVWQSD3NPI","short_pith_number":"pith:M57WTBDU","canonical_record":{"source":{"id":"1411.2350","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-11-10T08:53:37Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"f578d22436db28adf8e8991f8c20d4c4fab064fd9d2fe00d4f39e28871839780","abstract_canon_sha256":"5a8c56962c6f11d67bacd0fe18822f2e8aef7a718940c51c64d5b6424f5e3deb"},"schema_version":"1.0"},"canonical_sha256":"677f6984746f14e37debbd6d090f6d7a27a4e2e610b7ed90edf7c9231d3fece5","source":{"kind":"arxiv","id":"1411.2350","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2350","created_at":"2026-05-18T02:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2350v1","created_at":"2026-05-18T02:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2350","created_at":"2026-05-18T02:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"M57WTBDUN4KO","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"M57WTBDUN4KOG7PL","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"M57WTBDU","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:M57WTBDUN4KOG7PLXVWQSD3NPI","target":"record","payload":{"canonical_record":{"source":{"id":"1411.2350","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-11-10T08:53:37Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"f578d22436db28adf8e8991f8c20d4c4fab064fd9d2fe00d4f39e28871839780","abstract_canon_sha256":"5a8c56962c6f11d67bacd0fe18822f2e8aef7a718940c51c64d5b6424f5e3deb"},"schema_version":"1.0"},"canonical_sha256":"677f6984746f14e37debbd6d090f6d7a27a4e2e610b7ed90edf7c9231d3fece5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:07.745891Z","signature_b64":"d2RYx3NIPoN8p0q6ISb+aD3f1eCjR3APf6ZP0qV14H4n2p5hVb3i5Gul/Hdqk6+mtiDS0aJMs3lmtlfKD280Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"677f6984746f14e37debbd6d090f6d7a27a4e2e610b7ed90edf7c9231d3fece5","last_reissued_at":"2026-05-18T02:38:07.745226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:07.745226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.2350","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":"2026-05-18T02:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0mGgeHQX1AgIvDgxwmLaBFWVSL6ZXlDQBAqL8+tnmVpqHIEcsMsBtlxU/nZEL26dal6WxShictlTDSQE7UcvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T06:24:39.371969Z"},"content_sha256":"47e6a99c807e2068759a300bec624461cf0f6dfd70990bdd7feb1546d3c289ef","schema_version":"1.0","event_id":"sha256:47e6a99c807e2068759a300bec624461cf0f6dfd70990bdd7feb1546d3c289ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:M57WTBDUN4KOG7PLXVWQSD3NPI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmographic transition redshift in $f(R)$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Orlando Luongo, Salvatore Capozziello","submitted_at":"2014-11-10T08:53:37Z","abstract_excerpt":"We propose a strategy to infer the transition redshift $z_{da}$, which characterizes the passage through the universe decelerated to accelerated phases, in the framework $f(R)$ gravities. To this end, we numerically reconstruct $f(z)$, i.e. the corresponding $f(R)$ function re-expressed in terms of the redshift $z$ and we show how to match $f(z)$ with cosmography. In particular, we relate $f(z)$ and its derivatives to the cosmographic coefficients, i.e. $H_0, q_0$ and $j_0$ and demonstrate that its corresponding evolution may be framed by means of an effective logarithmic dark energy term $\\Om"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2350","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":""},"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":"2026-05-18T02:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zdenzA5UaRHd3Dz7geJFyssS7xumj3tXJAY+CMtCKsonz1hd7rB1TLnjzFLi7msIKC48zjS94UqTs7SlKbMjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T06:24:39.372497Z"},"content_sha256":"2824149348077166d1bc4460efa04d9db0eeb50773f0b816a49641b15dd1f453","schema_version":"1.0","event_id":"sha256:2824149348077166d1bc4460efa04d9db0eeb50773f0b816a49641b15dd1f453"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M57WTBDUN4KOG7PLXVWQSD3NPI/bundle.json","state_url":"https://pith.science/pith/M57WTBDUN4KOG7PLXVWQSD3NPI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M57WTBDUN4KOG7PLXVWQSD3NPI/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":"2026-05-25T06:24:39Z","links":{"resolver":"https://pith.science/pith/M57WTBDUN4KOG7PLXVWQSD3NPI","bundle":"https://pith.science/pith/M57WTBDUN4KOG7PLXVWQSD3NPI/bundle.json","state":"https://pith.science/pith/M57WTBDUN4KOG7PLXVWQSD3NPI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M57WTBDUN4KOG7PLXVWQSD3NPI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:M57WTBDUN4KOG7PLXVWQSD3NPI","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":"5a8c56962c6f11d67bacd0fe18822f2e8aef7a718940c51c64d5b6424f5e3deb","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-11-10T08:53:37Z","title_canon_sha256":"f578d22436db28adf8e8991f8c20d4c4fab064fd9d2fe00d4f39e28871839780"},"schema_version":"1.0","source":{"id":"1411.2350","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2350","created_at":"2026-05-18T02:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2350v1","created_at":"2026-05-18T02:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2350","created_at":"2026-05-18T02:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"M57WTBDUN4KO","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"M57WTBDUN4KOG7PL","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"M57WTBDU","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:2824149348077166d1bc4460efa04d9db0eeb50773f0b816a49641b15dd1f453","target":"graph","created_at":"2026-05-18T02:38:07Z","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":"We propose a strategy to infer the transition redshift $z_{da}$, which characterizes the passage through the universe decelerated to accelerated phases, in the framework $f(R)$ gravities. To this end, we numerically reconstruct $f(z)$, i.e. the corresponding $f(R)$ function re-expressed in terms of the redshift $z$ and we show how to match $f(z)$ with cosmography. In particular, we relate $f(z)$ and its derivatives to the cosmographic coefficients, i.e. $H_0, q_0$ and $j_0$ and demonstrate that its corresponding evolution may be framed by means of an effective logarithmic dark energy term $\\Om","authors_text":"Orlando Luongo, Salvatore Capozziello","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-11-10T08:53:37Z","title":"Cosmographic transition redshift in $f(R)$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2350","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":"sha256:47e6a99c807e2068759a300bec624461cf0f6dfd70990bdd7feb1546d3c289ef","target":"record","created_at":"2026-05-18T02:38:07Z","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":"5a8c56962c6f11d67bacd0fe18822f2e8aef7a718940c51c64d5b6424f5e3deb","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-11-10T08:53:37Z","title_canon_sha256":"f578d22436db28adf8e8991f8c20d4c4fab064fd9d2fe00d4f39e28871839780"},"schema_version":"1.0","source":{"id":"1411.2350","kind":"arxiv","version":1}},"canonical_sha256":"677f6984746f14e37debbd6d090f6d7a27a4e2e610b7ed90edf7c9231d3fece5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"677f6984746f14e37debbd6d090f6d7a27a4e2e610b7ed90edf7c9231d3fece5","first_computed_at":"2026-05-18T02:38:07.745226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:07.745226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d2RYx3NIPoN8p0q6ISb+aD3f1eCjR3APf6ZP0qV14H4n2p5hVb3i5Gul/Hdqk6+mtiDS0aJMs3lmtlfKD280Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:07.745891Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2350","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47e6a99c807e2068759a300bec624461cf0f6dfd70990bdd7feb1546d3c289ef","sha256:2824149348077166d1bc4460efa04d9db0eeb50773f0b816a49641b15dd1f453"],"state_sha256":"2bb6dabc909e85c50ae06d75996da65c02c613778faeec89d94a2a50ed625c60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"61jF5MC3iYIZYKQZzN+aVAZ7eNtpE6kS+ED1tJ+/ppuKUTiGSgGljtkAKdnbK9s+Ovaa7k6IpDhM0Y9UkOGZBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T06:24:39.375773Z","bundle_sha256":"f4d79bdb29bd5ff6bf0a461f677178e873ecc89c3ba5fcf6df07067140d1f75e"}}