{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:6EYVNGMSKIDVD5TG5L4MSJSSQ2","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":"ecc692e52a2fcffbca956a44e1e7c75ce79a6c8ecf91f24ff17543a9bdfc0055","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"quant-ph","submitted_at":"2003-07-22T15:28:14Z","title_canon_sha256":"ad6e777a90c251d7143dedcc685c5d1abfe0aed85053386135aa007ad6538d00"},"schema_version":"1.0","source":{"id":"quant-ph/0307159","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0307159","created_at":"2026-05-18T03:31:54Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0307159v1","created_at":"2026-05-18T03:31:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0307159","created_at":"2026-05-18T03:31:54Z"},{"alias_kind":"pith_short_12","alias_value":"6EYVNGMSKIDV","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"6EYVNGMSKIDVD5TG","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"6EYVNGMS","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:368f80e6b0dd2983e300c2c411cf91967fefa9a7aab1be06e5f84e9ee55f437c","target":"graph","created_at":"2026-05-18T03:31:54Z","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":"A new exactly solvable relativistic periodic potential is obtained by the periodic extension of a well-known transparent scalar potential. It is found that the energy band edges are determined by a transcendental equation which is very similar to the corresponding equation for the Dirac Kronig-Penney model. The solutions of the Dirac equation are expressed in terms of elementary functions.","authors_text":"A.A. Pecheritsin, B.F. Samsonov, E.O. Pozdeeva, M.L. Glasser","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2003-07-22T15:28:14Z","title":"New exactly solvable periodic potentials for the Dirac equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0307159","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:a36b21f9bfd89aaab01027597d1c4d85005bf47f5cdb6f0212624fefcddfdf10","target":"record","created_at":"2026-05-18T03:31:54Z","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":"ecc692e52a2fcffbca956a44e1e7c75ce79a6c8ecf91f24ff17543a9bdfc0055","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"quant-ph","submitted_at":"2003-07-22T15:28:14Z","title_canon_sha256":"ad6e777a90c251d7143dedcc685c5d1abfe0aed85053386135aa007ad6538d00"},"schema_version":"1.0","source":{"id":"quant-ph/0307159","kind":"arxiv","version":1}},"canonical_sha256":"f131569992520751f666eaf8c9265286a7bedd3139f35e7e239e5c6ec4e33b8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f131569992520751f666eaf8c9265286a7bedd3139f35e7e239e5c6ec4e33b8b","first_computed_at":"2026-05-18T03:31:54.728276Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:54.728276Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eD7kP1i1iBAIVtus/YE/66GMg0KuLQL2/deBYVjLQcpBFy8iUEZ2H/ftbS4pJlUepQeAFb2I0V6NYRm0RLEZDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:54.728919Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0307159","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a36b21f9bfd89aaab01027597d1c4d85005bf47f5cdb6f0212624fefcddfdf10","sha256:368f80e6b0dd2983e300c2c411cf91967fefa9a7aab1be06e5f84e9ee55f437c"],"state_sha256":"52412eeb624d3879d5d79dd99f78617c3ba635565733154714f0e9525f0fab35"}