{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:N2FRJRSG2KV5JR4UHTUVVHV55Z","short_pith_number":"pith:N2FRJRSG","canonical_record":{"source":{"id":"2003.10633","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-03-24T03:06:33Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"a85127be8cfe49e4594de8e78618a811382be698f4da756bf93334c1d70371f2","abstract_canon_sha256":"677d0de9952e776b64e616535b8c6da6a23584e6605ffd8b69d21fbaace69827"},"schema_version":"1.0"},"canonical_sha256":"6e8b14c646d2abd4c7943ce95a9ebdee5dde1123710735d134515869e9dbd969","source":{"kind":"arxiv","id":"2003.10633","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.10633","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"2003.10633v3","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.10633","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"N2FRJRSG2KV5","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"pith_short_16","alias_value":"N2FRJRSG2KV5JR4U","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"pith_short_8","alias_value":"N2FRJRSG","created_at":"2026-07-05T01:10:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:N2FRJRSG2KV5JR4UHTUVVHV55Z","target":"record","payload":{"canonical_record":{"source":{"id":"2003.10633","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-03-24T03:06:33Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"a85127be8cfe49e4594de8e78618a811382be698f4da756bf93334c1d70371f2","abstract_canon_sha256":"677d0de9952e776b64e616535b8c6da6a23584e6605ffd8b69d21fbaace69827"},"schema_version":"1.0"},"canonical_sha256":"6e8b14c646d2abd4c7943ce95a9ebdee5dde1123710735d134515869e9dbd969","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:10:35.097262Z","signature_b64":"MaIiS3oZX9q0Tpa/1l7zpLL4w7npRyYEV2qefjyjhLkO9lH+vmpjH4IRVprALeYJiEKrh9DWMJCxFI7bCAp2CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e8b14c646d2abd4c7943ce95a9ebdee5dde1123710735d134515869e9dbd969","last_reissued_at":"2026-07-05T01:10:35.096847Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:10:35.096847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.10633","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AYeFT44vQ+1tSAxUjb/hBvgELLT4tLIIoQ6dh1TjL/tu823GAmyv8YRJH5URlXIRcsMpTf8NON1UuvEVBzihCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T05:59:00.275909Z"},"content_sha256":"d92079eb3b620da06e17f080a1fa7bbefb4c4231eb76c008921bdfdaea232656","schema_version":"1.0","event_id":"sha256:d92079eb3b620da06e17f080a1fa7bbefb4c4231eb76c008921bdfdaea232656"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:N2FRJRSG2KV5JR4UHTUVVHV55Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Disformal invariance of cosmological observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Fabio Chibana, Masahide Yamaguchi, Takeshi Chiba","submitted_at":"2020-03-24T03:06:33Z","abstract_excerpt":"We study the frame dependence/independence of cosmological observables under disformal transformations, extending the previous results regarding conformal transformations, and provide the correspondence between Jordan-frame and Einstein-frame variables. We consider quantities such as the gravitational constant in the Newtonian limit, redshift, luminosity and angular diameter distances, as well as the distance-duality relation. Also, the Boltzmann equation, the observed specific intensity, and the adiabaticity condition are discussed. Since the electromagnetic action changes under disformal tra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.10633","kind":"arxiv","version":3},"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/2003.10633/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":"2026-07-05T01:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LkvPR2KE0MKEHU+5uln6WEfmiOH1Ojg93bsAk1g7tYbHzSreifEBDB5SvLzdG/dbTCxFwmwycERxYaBkDa1kDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T05:59:00.276420Z"},"content_sha256":"8a0747967095c9fa9bfce1b4b4c72d88434c199201c40e8e1871f3cfb088c809","schema_version":"1.0","event_id":"sha256:8a0747967095c9fa9bfce1b4b4c72d88434c199201c40e8e1871f3cfb088c809"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2FRJRSG2KV5JR4UHTUVVHV55Z/bundle.json","state_url":"https://pith.science/pith/N2FRJRSG2KV5JR4UHTUVVHV55Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2FRJRSG2KV5JR4UHTUVVHV55Z/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":"2026-08-10T05:59:00Z","links":{"resolver":"https://pith.science/pith/N2FRJRSG2KV5JR4UHTUVVHV55Z","bundle":"https://pith.science/pith/N2FRJRSG2KV5JR4UHTUVVHV55Z/bundle.json","state":"https://pith.science/pith/N2FRJRSG2KV5JR4UHTUVVHV55Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2FRJRSG2KV5JR4UHTUVVHV55Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:N2FRJRSG2KV5JR4UHTUVVHV55Z","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":"677d0de9952e776b64e616535b8c6da6a23584e6605ffd8b69d21fbaace69827","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-03-24T03:06:33Z","title_canon_sha256":"a85127be8cfe49e4594de8e78618a811382be698f4da756bf93334c1d70371f2"},"schema_version":"1.0","source":{"id":"2003.10633","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.10633","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"2003.10633v3","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.10633","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"N2FRJRSG2KV5","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"pith_short_16","alias_value":"N2FRJRSG2KV5JR4U","created_at":"2026-07-05T01:10:35Z"},{"alias_kind":"pith_short_8","alias_value":"N2FRJRSG","created_at":"2026-07-05T01:10:35Z"}],"graph_snapshots":[{"event_id":"sha256:8a0747967095c9fa9bfce1b4b4c72d88434c199201c40e8e1871f3cfb088c809","target":"graph","created_at":"2026-07-05T01:10:35Z","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/2003.10633/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the frame dependence/independence of cosmological observables under disformal transformations, extending the previous results regarding conformal transformations, and provide the correspondence between Jordan-frame and Einstein-frame variables. We consider quantities such as the gravitational constant in the Newtonian limit, redshift, luminosity and angular diameter distances, as well as the distance-duality relation. Also, the Boltzmann equation, the observed specific intensity, and the adiabaticity condition are discussed. Since the electromagnetic action changes under disformal tra","authors_text":"Fabio Chibana, Masahide Yamaguchi, Takeshi Chiba","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-03-24T03:06:33Z","title":"Disformal invariance of cosmological observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.10633","kind":"arxiv","version":3},"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:d92079eb3b620da06e17f080a1fa7bbefb4c4231eb76c008921bdfdaea232656","target":"record","created_at":"2026-07-05T01:10:35Z","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":"677d0de9952e776b64e616535b8c6da6a23584e6605ffd8b69d21fbaace69827","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-03-24T03:06:33Z","title_canon_sha256":"a85127be8cfe49e4594de8e78618a811382be698f4da756bf93334c1d70371f2"},"schema_version":"1.0","source":{"id":"2003.10633","kind":"arxiv","version":3}},"canonical_sha256":"6e8b14c646d2abd4c7943ce95a9ebdee5dde1123710735d134515869e9dbd969","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e8b14c646d2abd4c7943ce95a9ebdee5dde1123710735d134515869e9dbd969","first_computed_at":"2026-07-05T01:10:35.096847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:10:35.096847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MaIiS3oZX9q0Tpa/1l7zpLL4w7npRyYEV2qefjyjhLkO9lH+vmpjH4IRVprALeYJiEKrh9DWMJCxFI7bCAp2CA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:10:35.097262Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.10633","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d92079eb3b620da06e17f080a1fa7bbefb4c4231eb76c008921bdfdaea232656","sha256:8a0747967095c9fa9bfce1b4b4c72d88434c199201c40e8e1871f3cfb088c809"],"state_sha256":"663bbfcb435dcbe081d2ac35340008bd87d4bdbf7ead28bc2c8f8f3d2db3b529"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UYHUBrXwmAo5TtX6CYeFTAD92f/ID1cQzaXVOVmfsP3jo2gOxzKobq36zh3XXd7fAiW7ilrXtBfDqhPkocniDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T05:59:00.281259Z","bundle_sha256":"fe924cc19e5dd5e75f462419e6cdccdff5301cd9451e6d4a64b7a794f245bd4a"}}