{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:PHRGCNAM6VO42A6IANAPP7ENKA","short_pith_number":"pith:PHRGCNAM","schema_version":"1.0","canonical_sha256":"79e261340cf55dcd03c80340f7fc8d501ce8ea105df80be53aac49390197050e","source":{"kind":"arxiv","id":"2110.13723","version":1},"attestation_state":"computed","paper":{"title":"Shadows in conformally related gravity theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Kunal Pal, Kuntal Pal, Rajibul Shaikh, Tapobrata Sarkar","submitted_at":"2021-10-26T14:17:12Z","abstract_excerpt":"Null geodesics are invariant under a conformal transformation, and thus it might seem natural to assume that the observables corresponding to the shadow of a space-time are also conformally invariant. Here, we argue instead, that since the Arnowitt-Deser-Misner mass and the active gravitational mass of an asymptotically flat space-time are not, in general, invariant under such conformal transformations, the shadow radius for photon motion in a space-time would be quantitatively different, when viewed from two different conformally related frames, although the expression for the shadow radius i"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2110.13723","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-10-26T14:17:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"81ada4dd432b14d365bca19fb24e1b169064f775a59b74350f7e777a7b3ea0c5","abstract_canon_sha256":"ceb460eb4d8b1023e93564e7ede6127e6c0298cc03c65d0918126eacd96ac42c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:15:48.056176Z","signature_b64":"ekTf5heMLj2t6Bkq7O6spxN5Yx9lcaA/2CAPYkf8HQURvNui13AaOs8CLSOXYnuwoQbhlqcghFuuSHqTi8JjDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79e261340cf55dcd03c80340f7fc8d501ce8ea105df80be53aac49390197050e","last_reissued_at":"2026-07-05T04:15:48.055675Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:15:48.055675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shadows in conformally related gravity theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Kunal Pal, Kuntal Pal, Rajibul Shaikh, Tapobrata Sarkar","submitted_at":"2021-10-26T14:17:12Z","abstract_excerpt":"Null geodesics are invariant under a conformal transformation, and thus it might seem natural to assume that the observables corresponding to the shadow of a space-time are also conformally invariant. Here, we argue instead, that since the Arnowitt-Deser-Misner mass and the active gravitational mass of an asymptotically flat space-time are not, in general, invariant under such conformal transformations, the shadow radius for photon motion in a space-time would be quantitatively different, when viewed from two different conformally related frames, although the expression for the shadow radius i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.13723","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.13723/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2110.13723","created_at":"2026-07-05T04:15:48.055746+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.13723v1","created_at":"2026-07-05T04:15:48.055746+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.13723","created_at":"2026-07-05T04:15:48.055746+00:00"},{"alias_kind":"pith_short_12","alias_value":"PHRGCNAM6VO4","created_at":"2026-07-05T04:15:48.055746+00:00"},{"alias_kind":"pith_short_16","alias_value":"PHRGCNAM6VO42A6I","created_at":"2026-07-05T04:15:48.055746+00:00"},{"alias_kind":"pith_short_8","alias_value":"PHRGCNAM","created_at":"2026-07-05T04:15:48.055746+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2503.12826","citing_title":"The Unknown Face of Scalar-Tensor Gravitational Theories","ref_index":40,"is_internal_anchor":false},{"citing_arxiv_id":"2504.05572","citing_title":"Conformal form-invariant parametrization of scalar-tensor gravity theories: A critical analysis","ref_index":43,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PHRGCNAM6VO42A6IANAPP7ENKA","json":"https://pith.science/pith/PHRGCNAM6VO42A6IANAPP7ENKA.json","graph_json":"https://pith.science/api/pith-number/PHRGCNAM6VO42A6IANAPP7ENKA/graph.json","events_json":"https://pith.science/api/pith-number/PHRGCNAM6VO42A6IANAPP7ENKA/events.json","paper":"https://pith.science/paper/PHRGCNAM"},"agent_actions":{"view_html":"https://pith.science/pith/PHRGCNAM6VO42A6IANAPP7ENKA","download_json":"https://pith.science/pith/PHRGCNAM6VO42A6IANAPP7ENKA.json","view_paper":"https://pith.science/paper/PHRGCNAM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.13723&json=true","fetch_graph":"https://pith.science/api/pith-number/PHRGCNAM6VO42A6IANAPP7ENKA/graph.json","fetch_events":"https://pith.science/api/pith-number/PHRGCNAM6VO42A6IANAPP7ENKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PHRGCNAM6VO42A6IANAPP7ENKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PHRGCNAM6VO42A6IANAPP7ENKA/action/storage_attestation","attest_author":"https://pith.science/pith/PHRGCNAM6VO42A6IANAPP7ENKA/action/author_attestation","sign_citation":"https://pith.science/pith/PHRGCNAM6VO42A6IANAPP7ENKA/action/citation_signature","submit_replication":"https://pith.science/pith/PHRGCNAM6VO42A6IANAPP7ENKA/action/replication_record"}},"created_at":"2026-07-05T04:15:48.055746+00:00","updated_at":"2026-07-05T04:15:48.055746+00:00"}