{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4SEG7SZ66BMLIRU4I5YDYN3QCF","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":"21b8b858eeb02754639515f437d9fb46edad97387fc33ea479ff316b35f1eed2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-03T02:15:30Z","title_canon_sha256":"88f8659e32ee9fcbe3124cf77a920b15805625df143b26f91dce9311ba800a33"},"schema_version":"1.0","source":{"id":"1503.00804","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00804","created_at":"2026-05-18T02:25:48Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00804v1","created_at":"2026-05-18T02:25:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00804","created_at":"2026-05-18T02:25:48Z"},{"alias_kind":"pith_short_12","alias_value":"4SEG7SZ66BML","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4SEG7SZ66BMLIRU4","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4SEG7SZ6","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:71e178bf81ec65107580a0be72e20047676d23de748047ea788bfc5e3c27f871","target":"graph","created_at":"2026-05-18T02:25:48Z","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":"The problem of a particle localized in a ultra-short potential in one dimension is considered. By proposing a general solution to Schrodinger;s equation we show that the energy spectra and the probability of the particle have definite bounds for an arbitrary ultra-short potential. These results are relevant for the confinement of particles in nanodevices.","authors_text":"Gabriel Gonzalez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-03T02:15:30Z","title":"Eigenvalue bounds in one dimensional Schrodinger's equation with ultra-short potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00804","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:c6d6562ed0d60f4c169b004a7f34cd1d0e946351fd733919a940bda7a8ab736f","target":"record","created_at":"2026-05-18T02:25:48Z","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":"21b8b858eeb02754639515f437d9fb46edad97387fc33ea479ff316b35f1eed2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-03T02:15:30Z","title_canon_sha256":"88f8659e32ee9fcbe3124cf77a920b15805625df143b26f91dce9311ba800a33"},"schema_version":"1.0","source":{"id":"1503.00804","kind":"arxiv","version":1}},"canonical_sha256":"e4886fcb3ef058b4469c47703c3770114787aa6de5dd2dd22fc10fd9b61b59d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4886fcb3ef058b4469c47703c3770114787aa6de5dd2dd22fc10fd9b61b59d7","first_computed_at":"2026-05-18T02:25:48.351733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:48.351733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1rDmvgMgzqYYhX8d0vnuFJkjpv5DJDzILpIt+qF/ppDh94aXug3Y4qG/q/5odBhLUGwSqFopeX4egl7a54atCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:48.352224Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00804","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6d6562ed0d60f4c169b004a7f34cd1d0e946351fd733919a940bda7a8ab736f","sha256:71e178bf81ec65107580a0be72e20047676d23de748047ea788bfc5e3c27f871"],"state_sha256":"ea7bc05d9517e98dd9474da0ced2632ada02f02ca9da7d726878e05fe708bd9e"}