{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NB33ODIL3UUIVN4FZIZL4B4OOP","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":"445675b4832e872ed63d9862f42e2a64b5aba271859877e3bab54c7281a6cf31","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2026-03-31T13:52:11Z","title_canon_sha256":"1faac349806604131c02d571246f6b22e9d78c355261f87ede1356876b795c6c"},"schema_version":"1.0","source":{"id":"2603.29750","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.29750","created_at":"2026-07-22T00:22:34Z"},{"alias_kind":"arxiv_version","alias_value":"2603.29750v2","created_at":"2026-07-22T00:22:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.29750","created_at":"2026-07-22T00:22:34Z"},{"alias_kind":"pith_short_12","alias_value":"NB33ODIL3UUI","created_at":"2026-07-22T00:22:34Z"},{"alias_kind":"pith_short_16","alias_value":"NB33ODIL3UUIVN4F","created_at":"2026-07-22T00:22:34Z"},{"alias_kind":"pith_short_8","alias_value":"NB33ODIL","created_at":"2026-07-22T00:22:34Z"}],"graph_snapshots":[{"event_id":"sha256:4c60f759ad22a3af0aef5352f371bca5e3a265f4924356a04277190ea0ec21a2","target":"graph","created_at":"2026-07-22T00:22:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2603.29750/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a Hamiltonian $\\hat H$ with a (partially) continuous spectrum and examine the zero-overlap condition which involves the projection onto exact continuum eigenstates of a set of pseudostates obtained from the diagonalization of $\\hat H$ in a finite basis of square-integrable functions. For each projected pseudostate the condition implies the occurrence of zeros at all energies that correspond to the pseudo-continuum matrix eigenvalues, except for the eigenenergy associated with that pseudostate. This feature was observed for the Coulomb continuum represented in a Laguerre basis [M. M","authors_text":"Marko Horbatsch, Tom Kirchner","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2026-03-31T13:52:11Z","title":"A criterion for an effective discretization of a continuous Schr\\\"odinger spectrum using a pseudostate basis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.29750","kind":"arxiv","version":2},"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":"sha256:196b6a51eb499240f38e810a0cf325567090c47bec8f43604d91fcf3958bd7da","target":"record","created_at":"2026-07-22T00:22:34Z","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":"445675b4832e872ed63d9862f42e2a64b5aba271859877e3bab54c7281a6cf31","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2026-03-31T13:52:11Z","title_canon_sha256":"1faac349806604131c02d571246f6b22e9d78c355261f87ede1356876b795c6c"},"schema_version":"1.0","source":{"id":"2603.29750","kind":"arxiv","version":2}},"canonical_sha256":"6877b70d0bdd288ab785ca32be078e73f26a711187c09efcd385b377d5295b3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6877b70d0bdd288ab785ca32be078e73f26a711187c09efcd385b377d5295b3d","first_computed_at":"2026-07-22T00:22:34.092913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-22T00:22:34.092913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V9g/nGcNXoRx2koVHo2rrnPcyGNQRJotWcZ1gAyIQeAYWL1x5yZAS/kpSx3MG5QvC8ucUrssZUL/2ZV3wLd9Dg==","signature_status":"signed_v1","signed_at":"2026-07-22T00:22:34.093737Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.29750","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:196b6a51eb499240f38e810a0cf325567090c47bec8f43604d91fcf3958bd7da","sha256:4c60f759ad22a3af0aef5352f371bca5e3a265f4924356a04277190ea0ec21a2"],"state_sha256":"64b6ebc90cf56c7b432957b83631b7ee8573be9de400e26241f519f8f23793b0"}