{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:U6XYYJFW4BRQSQZFSLO5IYFZZW","short_pith_number":"pith:U6XYYJFW","schema_version":"1.0","canonical_sha256":"a7af8c24b6e06309432592ddd460b9cd86ba9f74109639dbeb3916bd20e22a29","source":{"kind":"arxiv","id":"1509.00307","version":1},"attestation_state":"computed","paper":{"title":"A Relativistic One-Particle Time of Arrival Operator for a Free Spin-1/2 Particle in (1 + 1) Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eric Galapon, Joseph Bunao","submitted_at":"2015-09-01T14:18:47Z","abstract_excerpt":"As a follow-up to a recent study in the spin-0 case [J. Bunao and E. A. Galapon, Ann. Phys. 353, 83-106 (2015)], we construct a one-particle Time of Arrival (TOA) operator conjugate to a Hamiltonian describing a free relativistic spin-1/2 particle in one spatial dimension. Upon transformation in a representation where the Hamiltonian is diagonal, it turns out that the constructed operator consists of an operator term $\\mathcal{\\hat{T}}$ whose action is the same as in the spin-0 case, and another operator term $\\mathcal{\\hat{T}}_0$ which commutes with the Hamiltonian but breaks invariance under"},"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":"1509.00307","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-09-01T14:18:47Z","cross_cats_sorted":[],"title_canon_sha256":"c38016f50a8644fa2d71a7f51aad35263807b47b86218d0dfdb4fd032e0a9b7e","abstract_canon_sha256":"8c7337314a26adb37a0061d2d0902e66f8c9d97ad3c761a26bcfac2342f7f213"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:14.461589Z","signature_b64":"OdLjIwajcqYb3B+aNNDChW4gixoVOr52cOb0G1QLSIyr8t2WNmWz6rSqkn6Wv2ThL+jZD8vfeIHVLgi6Qfm5CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7af8c24b6e06309432592ddd460b9cd86ba9f74109639dbeb3916bd20e22a29","last_reissued_at":"2026-05-18T01:34:14.460852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:14.460852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Relativistic One-Particle Time of Arrival Operator for a Free Spin-1/2 Particle in (1 + 1) Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eric Galapon, Joseph Bunao","submitted_at":"2015-09-01T14:18:47Z","abstract_excerpt":"As a follow-up to a recent study in the spin-0 case [J. Bunao and E. A. Galapon, Ann. Phys. 353, 83-106 (2015)], we construct a one-particle Time of Arrival (TOA) operator conjugate to a Hamiltonian describing a free relativistic spin-1/2 particle in one spatial dimension. Upon transformation in a representation where the Hamiltonian is diagonal, it turns out that the constructed operator consists of an operator term $\\mathcal{\\hat{T}}$ whose action is the same as in the spin-0 case, and another operator term $\\mathcal{\\hat{T}}_0$ which commutes with the Hamiltonian but breaks invariance under"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00307","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":""},"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":"1509.00307","created_at":"2026-05-18T01:34:14.460981+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.00307v1","created_at":"2026-05-18T01:34:14.460981+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00307","created_at":"2026-05-18T01:34:14.460981+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6XYYJFW4BRQ","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6XYYJFW4BRQSQZF","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6XYYJFW","created_at":"2026-05-18T12:29:44.643036+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/U6XYYJFW4BRQSQZFSLO5IYFZZW","json":"https://pith.science/pith/U6XYYJFW4BRQSQZFSLO5IYFZZW.json","graph_json":"https://pith.science/api/pith-number/U6XYYJFW4BRQSQZFSLO5IYFZZW/graph.json","events_json":"https://pith.science/api/pith-number/U6XYYJFW4BRQSQZFSLO5IYFZZW/events.json","paper":"https://pith.science/paper/U6XYYJFW"},"agent_actions":{"view_html":"https://pith.science/pith/U6XYYJFW4BRQSQZFSLO5IYFZZW","download_json":"https://pith.science/pith/U6XYYJFW4BRQSQZFSLO5IYFZZW.json","view_paper":"https://pith.science/paper/U6XYYJFW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.00307&json=true","fetch_graph":"https://pith.science/api/pith-number/U6XYYJFW4BRQSQZFSLO5IYFZZW/graph.json","fetch_events":"https://pith.science/api/pith-number/U6XYYJFW4BRQSQZFSLO5IYFZZW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6XYYJFW4BRQSQZFSLO5IYFZZW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6XYYJFW4BRQSQZFSLO5IYFZZW/action/storage_attestation","attest_author":"https://pith.science/pith/U6XYYJFW4BRQSQZFSLO5IYFZZW/action/author_attestation","sign_citation":"https://pith.science/pith/U6XYYJFW4BRQSQZFSLO5IYFZZW/action/citation_signature","submit_replication":"https://pith.science/pith/U6XYYJFW4BRQSQZFSLO5IYFZZW/action/replication_record"}},"created_at":"2026-05-18T01:34:14.460981+00:00","updated_at":"2026-05-18T01:34:14.460981+00:00"}