{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:EXCK6GJM2E72P6CVYN5F4I5GEC","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":"6893ab56233e5c2bd012622a14bc9dab49a9e4ea3bcc462163a8a0336f2c4a18","cross_cats_sorted":["nucl-th","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-09T13:15:34Z","title_canon_sha256":"da53ba4e94e7085a60f1cb79d57c56547bf2a70349bbc7983aed9a1c6e6adf59"},"schema_version":"1.0","source":{"id":"1010.1844","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1844","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1844v1","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1844","created_at":"2026-05-18T04:19:23Z"},{"alias_kind":"pith_short_12","alias_value":"EXCK6GJM2E72","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"EXCK6GJM2E72P6CV","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"EXCK6GJM","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:d6b22edca4227e3b10752fd911d7f33ea81a987edf8393d546b9766f251d303c","target":"graph","created_at":"2026-05-18T04:19:23Z","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 use the tools of the J-matrix method to evaluate the S-matrix and then deduce the bound and resonance states energies for singular screened Coulomb potentials, both analytic and piecewise differentiable. The J-matrix approach allows us to absorb the 1/r singularity of the potential in the reference Hamiltonian, which is then handled analytically. The calculation is performed using an infinite square integrable basis that supports a tridiagonal matrix representation for the reference Hamiltonian. The remaining part of the potential, which is bound and regular everywhere, is treated by an eff","authors_text":"A. D. Alhaidari, H. Bahlouli, I. Nasser, M. S. Abdelmonem, U. Al-Khawaja","cross_cats":["nucl-th","physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-09T13:15:34Z","title":"Singular Short Range Potentials in the J-Matrix Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1844","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":"sha256:9947828e98f79dcc811467d6e5069adbbb1b971005f8a6ca2b345230f2a167bc","target":"record","created_at":"2026-05-18T04:19:23Z","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":"6893ab56233e5c2bd012622a14bc9dab49a9e4ea3bcc462163a8a0336f2c4a18","cross_cats_sorted":["nucl-th","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-09T13:15:34Z","title_canon_sha256":"da53ba4e94e7085a60f1cb79d57c56547bf2a70349bbc7983aed9a1c6e6adf59"},"schema_version":"1.0","source":{"id":"1010.1844","kind":"arxiv","version":1}},"canonical_sha256":"25c4af192cd13fa7f855c37a5e23a62085f051fcb56bec333ca99360299ead45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25c4af192cd13fa7f855c37a5e23a62085f051fcb56bec333ca99360299ead45","first_computed_at":"2026-05-18T04:19:23.191395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:23.191395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zz5N5oOW5sm7ZdaVgJGFLlWfvf+LMINZRl5jDHIc9zUTOKzcWIli2Nj+KihajEkMSgX23BtjvTnIOjJY0RFACQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:23.191891Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1844","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9947828e98f79dcc811467d6e5069adbbb1b971005f8a6ca2b345230f2a167bc","sha256:d6b22edca4227e3b10752fd911d7f33ea81a987edf8393d546b9766f251d303c"],"state_sha256":"cd075e120c4d2d45af0bea3282a54fa1bd6e6d4c46cfb8bca9e4526a36743f21"}