{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:KYPC4SG3HFAVMRF2RRAC4IREBH","short_pith_number":"pith:KYPC4SG3","schema_version":"1.0","canonical_sha256":"561e2e48db39415644ba8c402e222409d814552c9f27947db5c60e3107c14a65","source":{"kind":"arxiv","id":"2409.16325","version":2},"attestation_state":"computed","paper":{"title":"Eisenhart Lift for Scalar Fields in the FLRW Universe","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Takeshi Chiba, Tsuyoshi Houri","submitted_at":"2024-09-23T00:17:41Z","abstract_excerpt":"The Eisenhart lift of Riemannian type describes the motion of a particle as a geodesic in a higher-dimensional Riemannian manifold with one additional coordinate. It has recently been generalized to a scalar field system by introducing one additional vector field. We apply this approach to a scalar field system in the Friedmann-Lemaitre-Robertson-Walker universe and classify the symmetries of the system. In particular, for a scalar field potential consisting of the square of a combination of exponential functions with specific index $e^{\\pm\\frac{\\sqrt{6}}{4}\\phi}$, we find nontrivial (conforma"},"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":"2409.16325","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-09-23T00:17:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f470c0906fcd98c1cd0400a8eb49cc476bae51e14772dbb0c77b5a326105c687","abstract_canon_sha256":"b911b3beab72455114f2799fa314e7e8259d1a4013633f1125768398313bc73d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:07:01.839819Z","signature_b64":"H+OC9sTbudqVldZzkYG8SA+WGq2k2aMIRAaP0KnZLHeaj6h06d3ei628+VByFkmZ+XmeJPGfPaF53KqIy3DXDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"561e2e48db39415644ba8c402e222409d814552c9f27947db5c60e3107c14a65","last_reissued_at":"2026-07-05T10:07:01.839397Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:07:01.839397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Eisenhart Lift for Scalar Fields in the FLRW Universe","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Takeshi Chiba, Tsuyoshi Houri","submitted_at":"2024-09-23T00:17:41Z","abstract_excerpt":"The Eisenhart lift of Riemannian type describes the motion of a particle as a geodesic in a higher-dimensional Riemannian manifold with one additional coordinate. It has recently been generalized to a scalar field system by introducing one additional vector field. We apply this approach to a scalar field system in the Friedmann-Lemaitre-Robertson-Walker universe and classify the symmetries of the system. In particular, for a scalar field potential consisting of the square of a combination of exponential functions with specific index $e^{\\pm\\frac{\\sqrt{6}}{4}\\phi}$, we find nontrivial (conforma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.16325","kind":"arxiv","version":2},"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/2409.16325/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":"2409.16325","created_at":"2026-07-05T10:07:01.839453+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.16325v2","created_at":"2026-07-05T10:07:01.839453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.16325","created_at":"2026-07-05T10:07:01.839453+00:00"},{"alias_kind":"pith_short_12","alias_value":"KYPC4SG3HFAV","created_at":"2026-07-05T10:07:01.839453+00:00"},{"alias_kind":"pith_short_16","alias_value":"KYPC4SG3HFAVMRF2","created_at":"2026-07-05T10:07:01.839453+00:00"},{"alias_kind":"pith_short_8","alias_value":"KYPC4SG3","created_at":"2026-07-05T10:07:01.839453+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2603.15626","citing_title":"The Bohlin variant of the Eisenhart lift","ref_index":19,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KYPC4SG3HFAVMRF2RRAC4IREBH","json":"https://pith.science/pith/KYPC4SG3HFAVMRF2RRAC4IREBH.json","graph_json":"https://pith.science/api/pith-number/KYPC4SG3HFAVMRF2RRAC4IREBH/graph.json","events_json":"https://pith.science/api/pith-number/KYPC4SG3HFAVMRF2RRAC4IREBH/events.json","paper":"https://pith.science/paper/KYPC4SG3"},"agent_actions":{"view_html":"https://pith.science/pith/KYPC4SG3HFAVMRF2RRAC4IREBH","download_json":"https://pith.science/pith/KYPC4SG3HFAVMRF2RRAC4IREBH.json","view_paper":"https://pith.science/paper/KYPC4SG3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.16325&json=true","fetch_graph":"https://pith.science/api/pith-number/KYPC4SG3HFAVMRF2RRAC4IREBH/graph.json","fetch_events":"https://pith.science/api/pith-number/KYPC4SG3HFAVMRF2RRAC4IREBH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KYPC4SG3HFAVMRF2RRAC4IREBH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KYPC4SG3HFAVMRF2RRAC4IREBH/action/storage_attestation","attest_author":"https://pith.science/pith/KYPC4SG3HFAVMRF2RRAC4IREBH/action/author_attestation","sign_citation":"https://pith.science/pith/KYPC4SG3HFAVMRF2RRAC4IREBH/action/citation_signature","submit_replication":"https://pith.science/pith/KYPC4SG3HFAVMRF2RRAC4IREBH/action/replication_record"}},"created_at":"2026-07-05T10:07:01.839453+00:00","updated_at":"2026-07-05T10:07:01.839453+00:00"}