{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:J3Y66VTQKUCU4FCWOMKNZ5CHWO","short_pith_number":"pith:J3Y66VTQ","schema_version":"1.0","canonical_sha256":"4ef1ef567055054e14567314dcf447b39d207638399065a2023f4813dcafabad","source":{"kind":"arxiv","id":"1506.00912","version":2},"attestation_state":"computed","paper":{"title":"Highly accurate wavefunctions for two-electron systems using two parameteres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"physics.atom-ph","authors_text":"Manoj K. Harbola, Rabeet Singh Chauhan","submitted_at":"2015-06-02T15:06:46Z","abstract_excerpt":"It is shown for two electron atoms that ground-state wavefunctions of the form \\begin{equation}\n  \\Psi(\\vec{r_{1}}, \\vec{r_{2}})=\\phi(\\vec{r_{1}})\\phi(\\vec{r_{2}})(\\cosh ar_{1}+\\cosh ar_{2})(1+0.5 r_{12}e^{-b r_{12}}) \\end{equation} where $\\vec{r_{1}}$ and $\\vec{r_{2}}$ are the coordinates of two electrons and $r_{12}=|\\vec{r_{1}}-\\vec{r_{2}}|$, can be made highly accurate by optimizing $a$, $b$ and $\\phi$. This is done by solving a variationally derived equation for $\\phi$ for a given $a$ and $b$ and finding $a$ and $b$ so that the expectation value of the Hamiltonian is minimum. For the set "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1506.00912","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-06-02T15:06:46Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"3b576d17c2c94decf2dee088aae045f79a5d09c9bc3935860b5d6dd76c612d84","abstract_canon_sha256":"f3d7c86b012f0c6cb058ba947b3ae178945b800a3ccefcc9f8ac99511dfc22c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:26.537075Z","signature_b64":"wWVP+SInTkpsfokoAtrdsR2wKD8gZMuTCkAUPMgxAtEOcUBFBvpb1ixuPkNbOlAsJt0QgTk72kgvkVi2xbGnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ef1ef567055054e14567314dcf447b39d207638399065a2023f4813dcafabad","last_reissued_at":"2026-05-18T01:58:26.536618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:26.536618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Highly accurate wavefunctions for two-electron systems using two parameteres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"physics.atom-ph","authors_text":"Manoj K. Harbola, Rabeet Singh Chauhan","submitted_at":"2015-06-02T15:06:46Z","abstract_excerpt":"It is shown for two electron atoms that ground-state wavefunctions of the form \\begin{equation}\n  \\Psi(\\vec{r_{1}}, \\vec{r_{2}})=\\phi(\\vec{r_{1}})\\phi(\\vec{r_{2}})(\\cosh ar_{1}+\\cosh ar_{2})(1+0.5 r_{12}e^{-b r_{12}}) \\end{equation} where $\\vec{r_{1}}$ and $\\vec{r_{2}}$ are the coordinates of two electrons and $r_{12}=|\\vec{r_{1}}-\\vec{r_{2}}|$, can be made highly accurate by optimizing $a$, $b$ and $\\phi$. This is done by solving a variationally derived equation for $\\phi$ for a given $a$ and $b$ and finding $a$ and $b$ so that the expectation value of the Hamiltonian is minimum. For the set "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00912","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1506.00912","created_at":"2026-05-18T01:58:26.536694+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.00912v2","created_at":"2026-05-18T01:58:26.536694+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00912","created_at":"2026-05-18T01:58:26.536694+00:00"},{"alias_kind":"pith_short_12","alias_value":"J3Y66VTQKUCU","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"J3Y66VTQKUCU4FCW","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"J3Y66VTQ","created_at":"2026-05-18T12:29:27.538025+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J3Y66VTQKUCU4FCWOMKNZ5CHWO","json":"https://pith.science/pith/J3Y66VTQKUCU4FCWOMKNZ5CHWO.json","graph_json":"https://pith.science/api/pith-number/J3Y66VTQKUCU4FCWOMKNZ5CHWO/graph.json","events_json":"https://pith.science/api/pith-number/J3Y66VTQKUCU4FCWOMKNZ5CHWO/events.json","paper":"https://pith.science/paper/J3Y66VTQ"},"agent_actions":{"view_html":"https://pith.science/pith/J3Y66VTQKUCU4FCWOMKNZ5CHWO","download_json":"https://pith.science/pith/J3Y66VTQKUCU4FCWOMKNZ5CHWO.json","view_paper":"https://pith.science/paper/J3Y66VTQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.00912&json=true","fetch_graph":"https://pith.science/api/pith-number/J3Y66VTQKUCU4FCWOMKNZ5CHWO/graph.json","fetch_events":"https://pith.science/api/pith-number/J3Y66VTQKUCU4FCWOMKNZ5CHWO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J3Y66VTQKUCU4FCWOMKNZ5CHWO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J3Y66VTQKUCU4FCWOMKNZ5CHWO/action/storage_attestation","attest_author":"https://pith.science/pith/J3Y66VTQKUCU4FCWOMKNZ5CHWO/action/author_attestation","sign_citation":"https://pith.science/pith/J3Y66VTQKUCU4FCWOMKNZ5CHWO/action/citation_signature","submit_replication":"https://pith.science/pith/J3Y66VTQKUCU4FCWOMKNZ5CHWO/action/replication_record"}},"created_at":"2026-05-18T01:58:26.536694+00:00","updated_at":"2026-05-18T01:58:26.536694+00:00"}