{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:RU2MA6VKX3KGFZCLAJRIOTDBWJ","short_pith_number":"pith:RU2MA6VK","schema_version":"1.0","canonical_sha256":"8d34c07aaabed462e44b0262874c61b272de41dfda24ec089247666a119440bc","source":{"kind":"arxiv","id":"2404.13187","version":3},"attestation_state":"computed","paper":{"title":"Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Byron Droguett, Claudio B\\'orquez","submitted_at":"2024-04-19T21:23:10Z","abstract_excerpt":"We explore the Casimir effect of a rough membrane within the framework of theories that break Lorentz symmetry. We consider two constant Aether vectors: one timelike and other spacelike, simultaneously. We employ an appropriate change of coordinates such that the membrane assumes a completely flat border and the remaining terms associated with the roughness are considered as part of the potential. Quantum fluctuations are induced by a scalar quantum field subject to Dirichlet boundary conditions. The spectrum is obtained through perturbation theory and regularized using the $\\zeta$--function m"},"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":"2404.13187","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-19T21:23:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"3d15c8e46573e6e92543b71e9a3df60a8d477ab216399a02b8caa92865f74100","abstract_canon_sha256":"422b46c20a03abbbadce44497172947b7847e34e00a617f32de67b6697d4ce94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:36:40.131938Z","signature_b64":"iV2dLeQomYYsYxB8s7dzF+ObBEFsbKjZiekdYyFuiJyITSFwZyCYRVq3sEZWJiG9Udu14ITazetj7sKS1oH1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d34c07aaabed462e44b0262874c61b272de41dfda24ec089247666a119440bc","last_reissued_at":"2026-07-05T09:36:40.131441Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:36:40.131441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Byron Droguett, Claudio B\\'orquez","submitted_at":"2024-04-19T21:23:10Z","abstract_excerpt":"We explore the Casimir effect of a rough membrane within the framework of theories that break Lorentz symmetry. We consider two constant Aether vectors: one timelike and other spacelike, simultaneously. We employ an appropriate change of coordinates such that the membrane assumes a completely flat border and the remaining terms associated with the roughness are considered as part of the potential. Quantum fluctuations are induced by a scalar quantum field subject to Dirichlet boundary conditions. The spectrum is obtained through perturbation theory and regularized using the $\\zeta$--function m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.13187","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/2404.13187/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":"2404.13187","created_at":"2026-07-05T09:36:40.131498+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.13187v3","created_at":"2026-07-05T09:36:40.131498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.13187","created_at":"2026-07-05T09:36:40.131498+00:00"},{"alias_kind":"pith_short_12","alias_value":"RU2MA6VKX3KG","created_at":"2026-07-05T09:36:40.131498+00:00"},{"alias_kind":"pith_short_16","alias_value":"RU2MA6VKX3KGFZCL","created_at":"2026-07-05T09:36:40.131498+00:00"},{"alias_kind":"pith_short_8","alias_value":"RU2MA6VK","created_at":"2026-07-05T09:36:40.131498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.13413","citing_title":"One-Loop Correction to the Casimir Energy in Lorentz-Violating $\\phi^4$ Theory with Rough Membrane Boundaries","ref_index":39,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RU2MA6VKX3KGFZCLAJRIOTDBWJ","json":"https://pith.science/pith/RU2MA6VKX3KGFZCLAJRIOTDBWJ.json","graph_json":"https://pith.science/api/pith-number/RU2MA6VKX3KGFZCLAJRIOTDBWJ/graph.json","events_json":"https://pith.science/api/pith-number/RU2MA6VKX3KGFZCLAJRIOTDBWJ/events.json","paper":"https://pith.science/paper/RU2MA6VK"},"agent_actions":{"view_html":"https://pith.science/pith/RU2MA6VKX3KGFZCLAJRIOTDBWJ","download_json":"https://pith.science/pith/RU2MA6VKX3KGFZCLAJRIOTDBWJ.json","view_paper":"https://pith.science/paper/RU2MA6VK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.13187&json=true","fetch_graph":"https://pith.science/api/pith-number/RU2MA6VKX3KGFZCLAJRIOTDBWJ/graph.json","fetch_events":"https://pith.science/api/pith-number/RU2MA6VKX3KGFZCLAJRIOTDBWJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RU2MA6VKX3KGFZCLAJRIOTDBWJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RU2MA6VKX3KGFZCLAJRIOTDBWJ/action/storage_attestation","attest_author":"https://pith.science/pith/RU2MA6VKX3KGFZCLAJRIOTDBWJ/action/author_attestation","sign_citation":"https://pith.science/pith/RU2MA6VKX3KGFZCLAJRIOTDBWJ/action/citation_signature","submit_replication":"https://pith.science/pith/RU2MA6VKX3KGFZCLAJRIOTDBWJ/action/replication_record"}},"created_at":"2026-07-05T09:36:40.131498+00:00","updated_at":"2026-07-05T09:36:40.131498+00:00"}