{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CICH4B4KSYHELDAI5XXFXZDJKG","short_pith_number":"pith:CICH4B4K","canonical_record":{"source":{"id":"1110.5065","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-10-23T17:27:17Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"01a0f4bf16446dec22aec73ae4abbe5d8974c0a1ae1ca2269d9beb37b29d4730","abstract_canon_sha256":"b962b94c7d2619b08a633a71620e4fd0bd90d8a854480ddf5f9e66a4edf0d5dc"},"schema_version":"1.0"},"canonical_sha256":"12047e078a960e458c08edee5be46951b28886e2bad75446b7aa19871c22fcf3","source":{"kind":"arxiv","id":"1110.5065","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5065","created_at":"2026-05-18T02:00:06Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5065v1","created_at":"2026-05-18T02:00:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5065","created_at":"2026-05-18T02:00:06Z"},{"alias_kind":"pith_short_12","alias_value":"CICH4B4KSYHE","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CICH4B4KSYHELDAI","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CICH4B4K","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CICH4B4KSYHELDAI5XXFXZDJKG","target":"record","payload":{"canonical_record":{"source":{"id":"1110.5065","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-10-23T17:27:17Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"01a0f4bf16446dec22aec73ae4abbe5d8974c0a1ae1ca2269d9beb37b29d4730","abstract_canon_sha256":"b962b94c7d2619b08a633a71620e4fd0bd90d8a854480ddf5f9e66a4edf0d5dc"},"schema_version":"1.0"},"canonical_sha256":"12047e078a960e458c08edee5be46951b28886e2bad75446b7aa19871c22fcf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:06.717518Z","signature_b64":"qHU3rNfzUTP60SleCOSTxtyCfC8sFplU1ioMO0+V3Mp+JO4BYpJAsP2yO/wLT4lje0sLAu7VC+KUdhAyEMJuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12047e078a960e458c08edee5be46951b28886e2bad75446b7aa19871c22fcf3","last_reissued_at":"2026-05-18T02:00:06.716795Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:06.716795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.5065","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":"2026-05-18T02:00:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ZTCk3RGYW04+UYcX+ICCP6FoEB++LSzGFUKaUI/ABUCJVsLH08BxAxYRIsdpKOFnVU5YTDRBut0x7fi/2r7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:40:52.419784Z"},"content_sha256":"d4c48ca9b2ad75fcb7cfc841437bd71cd7c295e7beef767672954d359a6f0b80","schema_version":"1.0","event_id":"sha256:d4c48ca9b2ad75fcb7cfc841437bd71cd7c295e7beef767672954d359a6f0b80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CICH4B4KSYHELDAI5XXFXZDJKG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformed Distance Duality Relations and Supernovae Dimming","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"J. A. S. Lima, J. V. Cunha, V. T. Zanchin","submitted_at":"2011-10-23T17:27:17Z","abstract_excerpt":"The basic cosmological distances are linked by the Etherington cosmic distance duality relation, $\\eta (z) = D_{L}(z)(1+z)^{-2}/D_{A}(z) \\equiv 1$, where $D_{L}$ and $D_{A}$ are, respectively, the luminosity and angular diameter distances. In order to test its validity, some authors have proposed phenomenological expressions for $\\eta(z)$ thereby deforming the original Etherington's relation and comparing the resulting expressions with the available and future cosmological data. The relevance of such studies is unquestionable since any violation of the cosmic distance duality relation could be"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5065","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":"2026-05-18T02:00:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VtAK/5K6qKjlo/Ly4hAZwZ/QXa+e7l2/QlMofC7MNntUXEcKpuLjPl9uwMadwzDM2COR5FMin9byHA0Kh3XHDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:40:52.420518Z"},"content_sha256":"e04f70b031c12a24b432b9ba5a438378f4da8d30f0ff7f0102122224b501ec9c","schema_version":"1.0","event_id":"sha256:e04f70b031c12a24b432b9ba5a438378f4da8d30f0ff7f0102122224b501ec9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CICH4B4KSYHELDAI5XXFXZDJKG/bundle.json","state_url":"https://pith.science/pith/CICH4B4KSYHELDAI5XXFXZDJKG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CICH4B4KSYHELDAI5XXFXZDJKG/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":"2026-05-29T16:40:52Z","links":{"resolver":"https://pith.science/pith/CICH4B4KSYHELDAI5XXFXZDJKG","bundle":"https://pith.science/pith/CICH4B4KSYHELDAI5XXFXZDJKG/bundle.json","state":"https://pith.science/pith/CICH4B4KSYHELDAI5XXFXZDJKG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CICH4B4KSYHELDAI5XXFXZDJKG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CICH4B4KSYHELDAI5XXFXZDJKG","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":"b962b94c7d2619b08a633a71620e4fd0bd90d8a854480ddf5f9e66a4edf0d5dc","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-10-23T17:27:17Z","title_canon_sha256":"01a0f4bf16446dec22aec73ae4abbe5d8974c0a1ae1ca2269d9beb37b29d4730"},"schema_version":"1.0","source":{"id":"1110.5065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5065","created_at":"2026-05-18T02:00:06Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5065v1","created_at":"2026-05-18T02:00:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5065","created_at":"2026-05-18T02:00:06Z"},{"alias_kind":"pith_short_12","alias_value":"CICH4B4KSYHE","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CICH4B4KSYHELDAI","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CICH4B4K","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:e04f70b031c12a24b432b9ba5a438378f4da8d30f0ff7f0102122224b501ec9c","target":"graph","created_at":"2026-05-18T02:00:06Z","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 basic cosmological distances are linked by the Etherington cosmic distance duality relation, $\\eta (z) = D_{L}(z)(1+z)^{-2}/D_{A}(z) \\equiv 1$, where $D_{L}$ and $D_{A}$ are, respectively, the luminosity and angular diameter distances. In order to test its validity, some authors have proposed phenomenological expressions for $\\eta(z)$ thereby deforming the original Etherington's relation and comparing the resulting expressions with the available and future cosmological data. The relevance of such studies is unquestionable since any violation of the cosmic distance duality relation could be","authors_text":"J. A. S. Lima, J. V. Cunha, V. T. Zanchin","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-10-23T17:27:17Z","title":"Deformed Distance Duality Relations and Supernovae Dimming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5065","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:d4c48ca9b2ad75fcb7cfc841437bd71cd7c295e7beef767672954d359a6f0b80","target":"record","created_at":"2026-05-18T02:00:06Z","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":"b962b94c7d2619b08a633a71620e4fd0bd90d8a854480ddf5f9e66a4edf0d5dc","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-10-23T17:27:17Z","title_canon_sha256":"01a0f4bf16446dec22aec73ae4abbe5d8974c0a1ae1ca2269d9beb37b29d4730"},"schema_version":"1.0","source":{"id":"1110.5065","kind":"arxiv","version":1}},"canonical_sha256":"12047e078a960e458c08edee5be46951b28886e2bad75446b7aa19871c22fcf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12047e078a960e458c08edee5be46951b28886e2bad75446b7aa19871c22fcf3","first_computed_at":"2026-05-18T02:00:06.716795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:06.716795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qHU3rNfzUTP60SleCOSTxtyCfC8sFplU1ioMO0+V3Mp+JO4BYpJAsP2yO/wLT4lje0sLAu7VC+KUdhAyEMJuBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:06.717518Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4c48ca9b2ad75fcb7cfc841437bd71cd7c295e7beef767672954d359a6f0b80","sha256:e04f70b031c12a24b432b9ba5a438378f4da8d30f0ff7f0102122224b501ec9c"],"state_sha256":"90480bf7592014731d1ae21f811fd72d2b53f4da1b07fbed422a4edc625057a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HR610VfICxKl7FOr8lHVZMBqXa9daCdwll6HKVAojK/IqzzmVqRX/l+o5x/oW3OcSqtLPIsrWuMshtSQNA0LDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T16:40:52.424527Z","bundle_sha256":"6af1b52889fd4a0eb38bded0f6fee81e1445b9c3907c2ce89ae011bb0cfcc55a"}}