{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:A4H2YVVF4EAZ4EBGFWDKGGKUW2","short_pith_number":"pith:A4H2YVVF","schema_version":"1.0","canonical_sha256":"070fac56a5e1019e10262d86a31954b696e1c5b295701fc4ef002b46818c25ef","source":{"kind":"arxiv","id":"2606.21794","version":1},"attestation_state":"computed","paper":{"title":"First-Quantized Relativistic Quantum Simulation with Periodic and Dirichlet Boundary Conditions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jaewoo Joo, Jeongho Bang, Kyoungho Cho, Kyunghyun Baek, Timothy P. Spiller","submitted_at":"2026-06-19T23:00:05Z","abstract_excerpt":"In this work, we present a methodology for first-quantized relativistic quantum simulation on one-dimensional finite domains under the two boundary conditions most commonly used in lattice models: periodic boundary conditions (PBC) and Dirichlet boundary conditions (DBC). Starting from the positive-energy relativistic kinetic operator, we construct weakly relativistic lattice Hamiltonians whose leading correction requires the boundary-consistent discretized momentum moments $\\langle \\hat{P}^{2}\\rangle$ and $\\langle \\hat{P}^{4}\\rangle$. These moments are reconstructed in the PBC Hamiltonian fro"},"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":"2606.21794","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-19T23:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"d215e08749fab6461bee6da7a361cdc318091d53239c06f2751d11d9d5ead4fd","abstract_canon_sha256":"1efc1178497523d8565546a0f6bb9d1ac49b8438f01fdd3001d8a36d5c82e7c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:13:22.910552Z","signature_b64":"7lyyW19KrdV2k9xZiHZK92R6BA6DhZ9PHCnGfYwoIYDD8CqX7OF2J/yfxz1/k+72BcMrpYxcV5Yn+UEx6LvaAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"070fac56a5e1019e10262d86a31954b696e1c5b295701fc4ef002b46818c25ef","last_reissued_at":"2026-06-23T01:13:22.910076Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:13:22.910076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"First-Quantized Relativistic Quantum Simulation with Periodic and Dirichlet Boundary Conditions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jaewoo Joo, Jeongho Bang, Kyoungho Cho, Kyunghyun Baek, Timothy P. Spiller","submitted_at":"2026-06-19T23:00:05Z","abstract_excerpt":"In this work, we present a methodology for first-quantized relativistic quantum simulation on one-dimensional finite domains under the two boundary conditions most commonly used in lattice models: periodic boundary conditions (PBC) and Dirichlet boundary conditions (DBC). Starting from the positive-energy relativistic kinetic operator, we construct weakly relativistic lattice Hamiltonians whose leading correction requires the boundary-consistent discretized momentum moments $\\langle \\hat{P}^{2}\\rangle$ and $\\langle \\hat{P}^{4}\\rangle$. These moments are reconstructed in the PBC Hamiltonian fro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21794","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/2606.21794/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":"2606.21794","created_at":"2026-06-23T01:13:22.910154+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.21794v1","created_at":"2026-06-23T01:13:22.910154+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21794","created_at":"2026-06-23T01:13:22.910154+00:00"},{"alias_kind":"pith_short_12","alias_value":"A4H2YVVF4EAZ","created_at":"2026-06-23T01:13:22.910154+00:00"},{"alias_kind":"pith_short_16","alias_value":"A4H2YVVF4EAZ4EBG","created_at":"2026-06-23T01:13:22.910154+00:00"},{"alias_kind":"pith_short_8","alias_value":"A4H2YVVF","created_at":"2026-06-23T01:13:22.910154+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/A4H2YVVF4EAZ4EBGFWDKGGKUW2","json":"https://pith.science/pith/A4H2YVVF4EAZ4EBGFWDKGGKUW2.json","graph_json":"https://pith.science/api/pith-number/A4H2YVVF4EAZ4EBGFWDKGGKUW2/graph.json","events_json":"https://pith.science/api/pith-number/A4H2YVVF4EAZ4EBGFWDKGGKUW2/events.json","paper":"https://pith.science/paper/A4H2YVVF"},"agent_actions":{"view_html":"https://pith.science/pith/A4H2YVVF4EAZ4EBGFWDKGGKUW2","download_json":"https://pith.science/pith/A4H2YVVF4EAZ4EBGFWDKGGKUW2.json","view_paper":"https://pith.science/paper/A4H2YVVF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.21794&json=true","fetch_graph":"https://pith.science/api/pith-number/A4H2YVVF4EAZ4EBGFWDKGGKUW2/graph.json","fetch_events":"https://pith.science/api/pith-number/A4H2YVVF4EAZ4EBGFWDKGGKUW2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A4H2YVVF4EAZ4EBGFWDKGGKUW2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A4H2YVVF4EAZ4EBGFWDKGGKUW2/action/storage_attestation","attest_author":"https://pith.science/pith/A4H2YVVF4EAZ4EBGFWDKGGKUW2/action/author_attestation","sign_citation":"https://pith.science/pith/A4H2YVVF4EAZ4EBGFWDKGGKUW2/action/citation_signature","submit_replication":"https://pith.science/pith/A4H2YVVF4EAZ4EBGFWDKGGKUW2/action/replication_record"}},"created_at":"2026-06-23T01:13:22.910154+00:00","updated_at":"2026-06-23T01:13:22.910154+00:00"}