{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:DXUF72ZI34KRDSO3S65AELGIR6","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":"bd90d4d2b1285b7e1d436dc1afa26b43a08b974f4185d222ed51dbd8a797cae2","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1995-03-03T14:23:00Z","title_canon_sha256":"8db1bf3e2ac599018b9403b8037bcaa4232a14b3821bb4932c43d6739a23db20"},"schema_version":"1.0","source":{"id":"hep-ph/9503225","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9503225","created_at":"2026-05-18T01:06:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9503225v1","created_at":"2026-05-18T01:06:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9503225","created_at":"2026-05-18T01:06:32Z"},{"alias_kind":"pith_short_12","alias_value":"DXUF72ZI34KR","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"DXUF72ZI34KRDSO3","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"DXUF72ZI","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:c0703ab609b5089d7061035f7826fda0ce4a4f2146308bf8278607fee917baf8","target":"graph","created_at":"2026-05-18T01:06:32Z","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":"In the WKB approximation the $\\nabla^2S$ term in Schrodinger's equation is subordinate to the |\\nabla S|^2 term. Here we study an anti-WKB approximation in which the $\\nabla^2 S$ term dominates (after a guess for S is supplied). Our approximation produces only the nodeless ground state wavefunction, but it can be used in potential problems where the potential is not symmetric, and in problems where there are many degrees of freedom. As a test, we apply the method to potential problems, including the hydrogen and helium atoms and to $\\phi^4$ field theory.","authors_text":"Geneva, J.B. Bronzan (CERN, Piscataway), Rutgers Univ.","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1995-03-03T14:23:00Z","title":"An Anti-WKB Approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9503225","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":"sha256:1eeb3d72ee7b38efaeb1e8048a7ce9e2383edb1c3afe79085dc35c78f345c36b","target":"record","created_at":"2026-05-18T01:06:32Z","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":"bd90d4d2b1285b7e1d436dc1afa26b43a08b974f4185d222ed51dbd8a797cae2","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1995-03-03T14:23:00Z","title_canon_sha256":"8db1bf3e2ac599018b9403b8037bcaa4232a14b3821bb4932c43d6739a23db20"},"schema_version":"1.0","source":{"id":"hep-ph/9503225","kind":"arxiv","version":1}},"canonical_sha256":"1de85feb28df1511c9db97ba022cc88f9d5792fe051b99f23fda2e8c43c9cae1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1de85feb28df1511c9db97ba022cc88f9d5792fe051b99f23fda2e8c43c9cae1","first_computed_at":"2026-05-18T01:06:32.919141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:32.919141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QXCXiR46mmrgBTP2VnHqCLkBiKOAZ3hiyPYbxqjPgWh1LP+HJj8T4FSKTJZqlF7Ig9JdHA7Ks8SNy7O0vjZgAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:32.919823Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9503225","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1eeb3d72ee7b38efaeb1e8048a7ce9e2383edb1c3afe79085dc35c78f345c36b","sha256:c0703ab609b5089d7061035f7826fda0ce4a4f2146308bf8278607fee917baf8"],"state_sha256":"9e2ff431a388247ea43f7a483567f559217fd37011c5dc6052cf80211fea20b4"}