{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:WH5YNLW4P3KS4DDRPP3N23HOPB","short_pith_number":"pith:WH5YNLW4","schema_version":"1.0","canonical_sha256":"b1fb86aedc7ed52e0c717bf6dd6cee7848ad3f453ebf9df4fafdf108beca2c39","source":{"kind":"arxiv","id":"2504.16784","version":2},"attestation_state":"computed","paper":{"title":"Particles in finite volumes and a toy model of decaying neutrons","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","nucl-ex","nucl-th","quant-ph"],"primary_cat":"hep-ph","authors_text":"Christian K\\\"ading","submitted_at":"2025-04-23T15:01:40Z","abstract_excerpt":"It is well-known that the momentum spectra of particles confined to finite spatial volumes deviate from the continuous spectra used for unconfined particles. In this article, we consider real scalar particles confined to finite volumes with periodic boundary conditions, such that the particles' spectra are discrete. We directly compute the density matrices describing the decay processes $\\phi \\to \\varphi^2$ and $\\phi \\to \\varphi\\chi\\nu$, and subsequently derive expressions for the decay probabilities both for confined and unconfined particles. The latter decay process is used as a rough toy mo"},"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":"2504.16784","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-04-23T15:01:40Z","cross_cats_sorted":["hep-th","nucl-ex","nucl-th","quant-ph"],"title_canon_sha256":"7b040963886a4fec2fb827b3673e19801e350ee3c9ec871ef5b3626361645f7c","abstract_canon_sha256":"9e802509a72b0879519eeba3e8cf186ee67ef94eaa3cc9ba227b972039e9a1b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:36:31.093300Z","signature_b64":"5XfR7viL0mNs6LWXihkE3V6HvPgwPLmqYSGmeQk4qxQFkdxN8UqXyl245TQ+55fVOwPsbywZiI1svQhI9L6EAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1fb86aedc7ed52e0c717bf6dd6cee7848ad3f453ebf9df4fafdf108beca2c39","last_reissued_at":"2026-07-05T11:36:31.092815Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:36:31.092815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Particles in finite volumes and a toy model of decaying neutrons","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","nucl-ex","nucl-th","quant-ph"],"primary_cat":"hep-ph","authors_text":"Christian K\\\"ading","submitted_at":"2025-04-23T15:01:40Z","abstract_excerpt":"It is well-known that the momentum spectra of particles confined to finite spatial volumes deviate from the continuous spectra used for unconfined particles. In this article, we consider real scalar particles confined to finite volumes with periodic boundary conditions, such that the particles' spectra are discrete. We directly compute the density matrices describing the decay processes $\\phi \\to \\varphi^2$ and $\\phi \\to \\varphi\\chi\\nu$, and subsequently derive expressions for the decay probabilities both for confined and unconfined particles. The latter decay process is used as a rough toy mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.16784","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/2504.16784/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":"2504.16784","created_at":"2026-07-05T11:36:31.092874+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.16784v2","created_at":"2026-07-05T11:36:31.092874+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.16784","created_at":"2026-07-05T11:36:31.092874+00:00"},{"alias_kind":"pith_short_12","alias_value":"WH5YNLW4P3KS","created_at":"2026-07-05T11:36:31.092874+00:00"},{"alias_kind":"pith_short_16","alias_value":"WH5YNLW4P3KS4DDR","created_at":"2026-07-05T11:36:31.092874+00:00"},{"alias_kind":"pith_short_8","alias_value":"WH5YNLW4","created_at":"2026-07-05T11:36:31.092874+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2512.01590","citing_title":"Directly computing Wigner functions for open quantum systems","ref_index":135,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WH5YNLW4P3KS4DDRPP3N23HOPB","json":"https://pith.science/pith/WH5YNLW4P3KS4DDRPP3N23HOPB.json","graph_json":"https://pith.science/api/pith-number/WH5YNLW4P3KS4DDRPP3N23HOPB/graph.json","events_json":"https://pith.science/api/pith-number/WH5YNLW4P3KS4DDRPP3N23HOPB/events.json","paper":"https://pith.science/paper/WH5YNLW4"},"agent_actions":{"view_html":"https://pith.science/pith/WH5YNLW4P3KS4DDRPP3N23HOPB","download_json":"https://pith.science/pith/WH5YNLW4P3KS4DDRPP3N23HOPB.json","view_paper":"https://pith.science/paper/WH5YNLW4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.16784&json=true","fetch_graph":"https://pith.science/api/pith-number/WH5YNLW4P3KS4DDRPP3N23HOPB/graph.json","fetch_events":"https://pith.science/api/pith-number/WH5YNLW4P3KS4DDRPP3N23HOPB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WH5YNLW4P3KS4DDRPP3N23HOPB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WH5YNLW4P3KS4DDRPP3N23HOPB/action/storage_attestation","attest_author":"https://pith.science/pith/WH5YNLW4P3KS4DDRPP3N23HOPB/action/author_attestation","sign_citation":"https://pith.science/pith/WH5YNLW4P3KS4DDRPP3N23HOPB/action/citation_signature","submit_replication":"https://pith.science/pith/WH5YNLW4P3KS4DDRPP3N23HOPB/action/replication_record"}},"created_at":"2026-07-05T11:36:31.092874+00:00","updated_at":"2026-07-05T11:36:31.092874+00:00"}