{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KBRS6O5H3JHQD4HCV4OMMTUV25","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1f619e2c53e83732336d20443829133d7c3fc908953179bcbb4a75aa12b951a4","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-03T05:24:46Z","title_canon_sha256":"c2099cba26392738c3ed1e30f224c163ceaf155a106f9821373ff60ca4f0ea41"},"schema_version":"1.0","source":{"id":"1809.01732","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01732","created_at":"2026-05-18T00:06:22Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01732v1","created_at":"2026-05-18T00:06:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01732","created_at":"2026-05-18T00:06:22Z"},{"alias_kind":"pith_short_12","alias_value":"KBRS6O5H3JHQ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KBRS6O5H3JHQD4HC","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KBRS6O5H","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:d9770a207267b6a3a67bc1789ff641bc5b720c49a042cc817aba60c23e1d63c3","target":"graph","created_at":"2026-05-18T00:06:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the decomposition of the Feynman kernel for a particle in a box with $1/\\sin^{2}\\theta$ potential to find that the wellknown phase factor $-1$, which is correct for the case of the free particle, for reflection at boundaries should be generalized depending on the parameter of the potential.","authors_text":"Seiji Sakoda","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-03T05:24:46Z","title":"Decomposition of the Feynman kernel for a particle in a box"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01732","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8e3993cafec9fe03d9b2bb76be2c8b4805bf61944da313682844ae71cd26beda","target":"record","created_at":"2026-05-18T00:06:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1f619e2c53e83732336d20443829133d7c3fc908953179bcbb4a75aa12b951a4","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-09-03T05:24:46Z","title_canon_sha256":"c2099cba26392738c3ed1e30f224c163ceaf155a106f9821373ff60ca4f0ea41"},"schema_version":"1.0","source":{"id":"1809.01732","kind":"arxiv","version":1}},"canonical_sha256":"50632f3ba7da4f01f0e2af1cc64e95d778bd3132069223e0464a1c407840f9ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50632f3ba7da4f01f0e2af1cc64e95d778bd3132069223e0464a1c407840f9ad","first_computed_at":"2026-05-18T00:06:22.061239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:22.061239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gN1RkbsYRhRPC+9BN96JooHnbSYfgpaN9JpCVqpbXysqDAKdpiXjgzTh0IgeU/eJy5BOkhrtmOK9Ry0CuC5yDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:22.061937Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.01732","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e3993cafec9fe03d9b2bb76be2c8b4805bf61944da313682844ae71cd26beda","sha256:d9770a207267b6a3a67bc1789ff641bc5b720c49a042cc817aba60c23e1d63c3"],"state_sha256":"ddfcd97a97d4973a101a464da35327d5bb0a1f339dd62af736c26d0e82207081"}