{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:3GYF3V2CS45KT2JK5BTHMOAAXA","short_pith_number":"pith:3GYF3V2C","schema_version":"1.0","canonical_sha256":"d9b05dd742973aa9e92ae866763800b83bcc56cfd57f6f87e57ee069083323cd","source":{"kind":"arxiv","id":"2103.10700","version":3},"attestation_state":"computed","paper":{"title":"Proper time reparametrization in cosmology: Mobius symmetry and Kodama charges","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jibril Ben Achour","submitted_at":"2021-03-19T09:26:28Z","abstract_excerpt":"It has been noticed that for a large class of cosmological models, the gauge fixing of the time-reparametrization invariance does not completely fix the clock. Instead, the system enjoys a surprising residual Noether symmetry under a M\\\"{o}bius reparametrization of the proper time, which maps gauge-inequivalent solutions to the Friedman equations onto each other. In this work, we provide a unified treatment of this hidden conformal symmetry and its realization in the homogeneous and isotropic sector of the Einstein-Scalar-$\\Lambda$ system. We consider the flat Friedmann-Robertson-Walker (FRW) "},"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":"2103.10700","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-03-19T09:26:28Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"01f75b9883ffa5f68a7f19265dfe17cedffa3e831f1ca5de2d408caac9523e75","abstract_canon_sha256":"6647d9b04ffa6c58a07b6e32cd3bc53bc327ea6c0b0def632b0aed0dcd2fbf40"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:40:30.992126Z","signature_b64":"cV4X6kK64mbGAHt+rdHl4udwftr+N5ubHUURn8jE9CJjUEBoUXQqmJMSQuqIB1CsmsMDckBSiRbbh7zdEG27Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9b05dd742973aa9e92ae866763800b83bcc56cfd57f6f87e57ee069083323cd","last_reissued_at":"2026-07-05T03:40:30.991741Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:40:30.991741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Proper time reparametrization in cosmology: Mobius symmetry and Kodama charges","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Jibril Ben Achour","submitted_at":"2021-03-19T09:26:28Z","abstract_excerpt":"It has been noticed that for a large class of cosmological models, the gauge fixing of the time-reparametrization invariance does not completely fix the clock. Instead, the system enjoys a surprising residual Noether symmetry under a M\\\"{o}bius reparametrization of the proper time, which maps gauge-inequivalent solutions to the Friedman equations onto each other. In this work, we provide a unified treatment of this hidden conformal symmetry and its realization in the homogeneous and isotropic sector of the Einstein-Scalar-$\\Lambda$ system. We consider the flat Friedmann-Robertson-Walker (FRW) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.10700","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/2103.10700/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":"2103.10700","created_at":"2026-07-05T03:40:30.991791+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.10700v3","created_at":"2026-07-05T03:40:30.991791+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.10700","created_at":"2026-07-05T03:40:30.991791+00:00"},{"alias_kind":"pith_short_12","alias_value":"3GYF3V2CS45K","created_at":"2026-07-05T03:40:30.991791+00:00"},{"alias_kind":"pith_short_16","alias_value":"3GYF3V2CS45KT2JK","created_at":"2026-07-05T03:40:30.991791+00:00"},{"alias_kind":"pith_short_8","alias_value":"3GYF3V2C","created_at":"2026-07-05T03:40:30.991791+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.15329","citing_title":"Complete background cosmology of parity-even quadratic metric-affine gravity","ref_index":133,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3GYF3V2CS45KT2JK5BTHMOAAXA","json":"https://pith.science/pith/3GYF3V2CS45KT2JK5BTHMOAAXA.json","graph_json":"https://pith.science/api/pith-number/3GYF3V2CS45KT2JK5BTHMOAAXA/graph.json","events_json":"https://pith.science/api/pith-number/3GYF3V2CS45KT2JK5BTHMOAAXA/events.json","paper":"https://pith.science/paper/3GYF3V2C"},"agent_actions":{"view_html":"https://pith.science/pith/3GYF3V2CS45KT2JK5BTHMOAAXA","download_json":"https://pith.science/pith/3GYF3V2CS45KT2JK5BTHMOAAXA.json","view_paper":"https://pith.science/paper/3GYF3V2C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.10700&json=true","fetch_graph":"https://pith.science/api/pith-number/3GYF3V2CS45KT2JK5BTHMOAAXA/graph.json","fetch_events":"https://pith.science/api/pith-number/3GYF3V2CS45KT2JK5BTHMOAAXA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3GYF3V2CS45KT2JK5BTHMOAAXA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3GYF3V2CS45KT2JK5BTHMOAAXA/action/storage_attestation","attest_author":"https://pith.science/pith/3GYF3V2CS45KT2JK5BTHMOAAXA/action/author_attestation","sign_citation":"https://pith.science/pith/3GYF3V2CS45KT2JK5BTHMOAAXA/action/citation_signature","submit_replication":"https://pith.science/pith/3GYF3V2CS45KT2JK5BTHMOAAXA/action/replication_record"}},"created_at":"2026-07-05T03:40:30.991791+00:00","updated_at":"2026-07-05T03:40:30.991791+00:00"}