{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:WKO3L5IUSDDI7HJUKKGKXZPBNK","short_pith_number":"pith:WKO3L5IU","schema_version":"1.0","canonical_sha256":"b29db5f51490c68f9d34528cabe5e16aa29241bd55c5eef168454774808d50f6","source":{"kind":"arxiv","id":"2404.10300","version":1},"attestation_state":"computed","paper":{"title":"How does Casimir energy fall in $\\kappa$-deformed space-time?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Harikumar, K. V. Shajesh, Suman Kumar Panja","submitted_at":"2024-04-16T06:02:24Z","abstract_excerpt":"We investigate the response of Casimir energies to fluctuations in a scalar field in a weak gravitational field in the $\\kappa$-deformed space-time. We model the Casimir plates in a gravitational field by $\\kappa$-deformed Rindler coordinates and calculate the Casimir energy using the $\\kappa$-deformed scalar field. We show that the Casimir energy accelerates in a weak gravitational field like a mass. Thus, our calculations show that the mass-energy equivalence principle holds in $\\kappa$-deformed space-time even though a length scale is introduced through space-time non-commutativity."},"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":"2404.10300","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-04-16T06:02:24Z","cross_cats_sorted":[],"title_canon_sha256":"63a73bb004fe892461240e60cbc0a269a6d9e42850a7117dec679fbfdeac7067","abstract_canon_sha256":"e4275d790ec3c41344a78e80e63660bbe32d72ee3576b7e96b5190c89b1cf020"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:40:16.642217Z","signature_b64":"YBNaSRHR4CHZHf5ExpmbvsGCljiyVzTO2FtaArWmR+a1O3igaYcpyEfvdYW1VdfXCogB+oBdYqSvwdXCIMKbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b29db5f51490c68f9d34528cabe5e16aa29241bd55c5eef168454774808d50f6","last_reissued_at":"2026-07-05T08:40:16.641769Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:40:16.641769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How does Casimir energy fall in $\\kappa$-deformed space-time?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Harikumar, K. V. Shajesh, Suman Kumar Panja","submitted_at":"2024-04-16T06:02:24Z","abstract_excerpt":"We investigate the response of Casimir energies to fluctuations in a scalar field in a weak gravitational field in the $\\kappa$-deformed space-time. We model the Casimir plates in a gravitational field by $\\kappa$-deformed Rindler coordinates and calculate the Casimir energy using the $\\kappa$-deformed scalar field. We show that the Casimir energy accelerates in a weak gravitational field like a mass. Thus, our calculations show that the mass-energy equivalence principle holds in $\\kappa$-deformed space-time even though a length scale is introduced through space-time non-commutativity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.10300","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/2404.10300/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":"2404.10300","created_at":"2026-07-05T08:40:16.641825+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.10300v1","created_at":"2026-07-05T08:40:16.641825+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.10300","created_at":"2026-07-05T08:40:16.641825+00:00"},{"alias_kind":"pith_short_12","alias_value":"WKO3L5IUSDDI","created_at":"2026-07-05T08:40:16.641825+00:00"},{"alias_kind":"pith_short_16","alias_value":"WKO3L5IUSDDI7HJU","created_at":"2026-07-05T08:40:16.641825+00:00"},{"alias_kind":"pith_short_8","alias_value":"WKO3L5IU","created_at":"2026-07-05T08:40:16.641825+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WKO3L5IUSDDI7HJUKKGKXZPBNK","json":"https://pith.science/pith/WKO3L5IUSDDI7HJUKKGKXZPBNK.json","graph_json":"https://pith.science/api/pith-number/WKO3L5IUSDDI7HJUKKGKXZPBNK/graph.json","events_json":"https://pith.science/api/pith-number/WKO3L5IUSDDI7HJUKKGKXZPBNK/events.json","paper":"https://pith.science/paper/WKO3L5IU"},"agent_actions":{"view_html":"https://pith.science/pith/WKO3L5IUSDDI7HJUKKGKXZPBNK","download_json":"https://pith.science/pith/WKO3L5IUSDDI7HJUKKGKXZPBNK.json","view_paper":"https://pith.science/paper/WKO3L5IU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.10300&json=true","fetch_graph":"https://pith.science/api/pith-number/WKO3L5IUSDDI7HJUKKGKXZPBNK/graph.json","fetch_events":"https://pith.science/api/pith-number/WKO3L5IUSDDI7HJUKKGKXZPBNK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WKO3L5IUSDDI7HJUKKGKXZPBNK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WKO3L5IUSDDI7HJUKKGKXZPBNK/action/storage_attestation","attest_author":"https://pith.science/pith/WKO3L5IUSDDI7HJUKKGKXZPBNK/action/author_attestation","sign_citation":"https://pith.science/pith/WKO3L5IUSDDI7HJUKKGKXZPBNK/action/citation_signature","submit_replication":"https://pith.science/pith/WKO3L5IUSDDI7HJUKKGKXZPBNK/action/replication_record"}},"created_at":"2026-07-05T08:40:16.641825+00:00","updated_at":"2026-07-05T08:40:16.641825+00:00"}