{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PJQQ4XKJ6I54EUOBQX7UY2FAIC","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":"0a018c681f5ee7619e54d6ef1fc9bdeff9066015a137f185f4991105ae7e7992","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-04T15:23:36Z","title_canon_sha256":"b3861f974104a08f54e925f5f3998663394742c97debbb400016a0080b711a03"},"schema_version":"1.0","source":{"id":"1110.0723","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0723","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0723v1","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0723","created_at":"2026-05-18T03:31:17Z"},{"alias_kind":"pith_short_12","alias_value":"PJQQ4XKJ6I54","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PJQQ4XKJ6I54EUOB","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PJQQ4XKJ","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:c7cf55687a3b4c99f5a4fccfbd5ef44c629ae6af0174e2f50516df64bad038b0","target":"graph","created_at":"2026-05-18T03:31:17Z","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 develop an alternative approach to time independent perturbation theory in non-relativistic quantum mechanics. The method developed has the advantage to provide in one operation the correction to the energy and to the wave function, additionally we can analyze the time evolution of the system. To verify our results, we apply our method to the harmonic oscillator perturbed by a quadratic potential. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained.","authors_text":"F. Soto-Eguibar, H. Moya-Cessa, J. Martinez-Carranza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-04T15:23:36Z","title":"Alternative analysis to perturbation theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0723","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":"sha256:873c212f57d83d70dcf1ce9e13bb9541bb27d168e513845703257afc652287b3","target":"record","created_at":"2026-05-18T03:31:17Z","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":"0a018c681f5ee7619e54d6ef1fc9bdeff9066015a137f185f4991105ae7e7992","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-04T15:23:36Z","title_canon_sha256":"b3861f974104a08f54e925f5f3998663394742c97debbb400016a0080b711a03"},"schema_version":"1.0","source":{"id":"1110.0723","kind":"arxiv","version":1}},"canonical_sha256":"7a610e5d49f23bc251c185ff4c68a040839f4a790e6cdf2e0d737c3491b67641","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a610e5d49f23bc251c185ff4c68a040839f4a790e6cdf2e0d737c3491b67641","first_computed_at":"2026-05-18T03:31:17.978438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:17.978438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"45ghPvuSj9TqvqxI10LAZlaBTu9ttoPrWkVzWdIj/rT/F3ZVehAk09RiWwNRSQEXxYNnjmyfTJwrgN4fN0xQBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:17.979426Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.0723","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:873c212f57d83d70dcf1ce9e13bb9541bb27d168e513845703257afc652287b3","sha256:c7cf55687a3b4c99f5a4fccfbd5ef44c629ae6af0174e2f50516df64bad038b0"],"state_sha256":"3aee7d823db517bfc056aa18a8ec19401acfba6e4052b569525902631c7216b1"}