{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7VI35CK45BUNWD25RAXC3YFYZC","short_pith_number":"pith:7VI35CK4","canonical_record":{"source":{"id":"1612.08784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-12-28T01:28:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"27e5dddd0a46c02b84193ddb62729518c390e854841c355c2551091670835757","abstract_canon_sha256":"d6c5dc782e420610c82fe9b4cd320f331a3cb5a30bb50422b43ee2ff079cc0dd"},"schema_version":"1.0"},"canonical_sha256":"fd51be895ce868db0f5d882e2de0b8c89a5f270552d6137659f8113222e04a93","source":{"kind":"arxiv","id":"1612.08784","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08784","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08784v1","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08784","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"pith_short_12","alias_value":"7VI35CK45BUN","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7VI35CK45BUNWD25","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7VI35CK4","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7VI35CK45BUNWD25RAXC3YFYZC","target":"record","payload":{"canonical_record":{"source":{"id":"1612.08784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-12-28T01:28:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"27e5dddd0a46c02b84193ddb62729518c390e854841c355c2551091670835757","abstract_canon_sha256":"d6c5dc782e420610c82fe9b4cd320f331a3cb5a30bb50422b43ee2ff079cc0dd"},"schema_version":"1.0"},"canonical_sha256":"fd51be895ce868db0f5d882e2de0b8c89a5f270552d6137659f8113222e04a93","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:47.166540Z","signature_b64":"UBtBx42PK2XtVDuEQdBVwEJ2QmigICfuh1fKZRLdmXuVfO8YUqC2EEeTSKOmXqk7P9bLHaDcXaWrvheY/RhuBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd51be895ce868db0f5d882e2de0b8c89a5f270552d6137659f8113222e04a93","last_reissued_at":"2026-05-18T00:53:47.166148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:47.166148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.08784","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":"2026-05-18T00:53:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"utMVG52O2qaiBVeacVYFSZP94JR6tjbGaMTeAEwfgs/zlYPu/o9Xl6j1o7iGCfsoHCkrhWPu9kwwW1Fsfm0DCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T07:09:34.682483Z"},"content_sha256":"b5019f21188e6f3bddd7e75bee8da48df17997d5666a64d9d56e4d6ae8d7a64f","schema_version":"1.0","event_id":"sha256:b5019f21188e6f3bddd7e75bee8da48df17997d5666a64d9d56e4d6ae8d7a64f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7VI35CK45BUNWD25RAXC3YFYZC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modifications to the Etherington Distance Duality Relation and Observational Limits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Frederic P. Schuller, Hiroko Niikura, Jonas Schneider, Marcus C. Werner, Surhud More","submitted_at":"2016-12-28T01:28:08Z","abstract_excerpt":"The Etherington distance duality relation, which relates the luminosity distance, the angular diameter distance and the redshift of objects, depends only upon a conservation law for light that traces back directly to the Lorentzian spacetime geometry. We show that this duality relation indeed survives transition to the most general linear electrodynamics without birefringence, which rests on a spacetime geometry constituted by a Lorentzian metric and two scalar fields, a dilaton and an axion. By computing the Poynting vector and optical scalar transport in the geometrical optics limit of this "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08784","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":"2026-05-18T00:53:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DLQZiFOUrS57yV/iy8CFXC0gb2ZuWEu7QdejEkqH9WTRcUMMDQTNLcj0DQjKAKoA03BQyN/lHHVo6TCliYs4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T07:09:34.682987Z"},"content_sha256":"02e44a91b472e203a7c6a06b8d3e1843da77fb02b233b6da132e008c516064e0","schema_version":"1.0","event_id":"sha256:02e44a91b472e203a7c6a06b8d3e1843da77fb02b233b6da132e008c516064e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7VI35CK45BUNWD25RAXC3YFYZC/bundle.json","state_url":"https://pith.science/pith/7VI35CK45BUNWD25RAXC3YFYZC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7VI35CK45BUNWD25RAXC3YFYZC/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":"2026-05-19T07:09:34Z","links":{"resolver":"https://pith.science/pith/7VI35CK45BUNWD25RAXC3YFYZC","bundle":"https://pith.science/pith/7VI35CK45BUNWD25RAXC3YFYZC/bundle.json","state":"https://pith.science/pith/7VI35CK45BUNWD25RAXC3YFYZC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7VI35CK45BUNWD25RAXC3YFYZC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7VI35CK45BUNWD25RAXC3YFYZC","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":"d6c5dc782e420610c82fe9b4cd320f331a3cb5a30bb50422b43ee2ff079cc0dd","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-12-28T01:28:08Z","title_canon_sha256":"27e5dddd0a46c02b84193ddb62729518c390e854841c355c2551091670835757"},"schema_version":"1.0","source":{"id":"1612.08784","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08784","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08784v1","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08784","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"pith_short_12","alias_value":"7VI35CK45BUN","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7VI35CK45BUNWD25","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7VI35CK4","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:02e44a91b472e203a7c6a06b8d3e1843da77fb02b233b6da132e008c516064e0","target":"graph","created_at":"2026-05-18T00:53:47Z","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 Etherington distance duality relation, which relates the luminosity distance, the angular diameter distance and the redshift of objects, depends only upon a conservation law for light that traces back directly to the Lorentzian spacetime geometry. We show that this duality relation indeed survives transition to the most general linear electrodynamics without birefringence, which rests on a spacetime geometry constituted by a Lorentzian metric and two scalar fields, a dilaton and an axion. By computing the Poynting vector and optical scalar transport in the geometrical optics limit of this ","authors_text":"Frederic P. Schuller, Hiroko Niikura, Jonas Schneider, Marcus C. Werner, Surhud More","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-12-28T01:28:08Z","title":"Modifications to the Etherington Distance Duality Relation and Observational Limits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08784","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:b5019f21188e6f3bddd7e75bee8da48df17997d5666a64d9d56e4d6ae8d7a64f","target":"record","created_at":"2026-05-18T00:53:47Z","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":"d6c5dc782e420610c82fe9b4cd320f331a3cb5a30bb50422b43ee2ff079cc0dd","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-12-28T01:28:08Z","title_canon_sha256":"27e5dddd0a46c02b84193ddb62729518c390e854841c355c2551091670835757"},"schema_version":"1.0","source":{"id":"1612.08784","kind":"arxiv","version":1}},"canonical_sha256":"fd51be895ce868db0f5d882e2de0b8c89a5f270552d6137659f8113222e04a93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd51be895ce868db0f5d882e2de0b8c89a5f270552d6137659f8113222e04a93","first_computed_at":"2026-05-18T00:53:47.166148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:47.166148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UBtBx42PK2XtVDuEQdBVwEJ2QmigICfuh1fKZRLdmXuVfO8YUqC2EEeTSKOmXqk7P9bLHaDcXaWrvheY/RhuBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:47.166540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08784","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5019f21188e6f3bddd7e75bee8da48df17997d5666a64d9d56e4d6ae8d7a64f","sha256:02e44a91b472e203a7c6a06b8d3e1843da77fb02b233b6da132e008c516064e0"],"state_sha256":"ae948f5fee5433bfd2a065fb80613f8fc520c12ea8b93a151eb3f2b102b523ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UpTKiWWlSjWCxnKTRZqyhMqICBe7IQjrkxLbh7qO5ycgkZQicVR8W1n0y/+V5BpuNPA1FmYtPh4Czt8EFoXVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T07:09:34.685673Z","bundle_sha256":"6b686e9a40e9f7d80bed11029d691eecaef65e856457aa468069bbdf62340525"}}