{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:F6OKZQPY2FIXZBTCZOZESBYKAB","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":"5e1aac2e05fddb42a49768bb6b83d6444254cdb6fef5e38ce47e69c79cb8b623","cross_cats_sorted":["cond-mat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2003-11-04T14:28:13Z","title_canon_sha256":"82a9c24463d9887162cc0613bf3fecaabc0f0cb49db93fa08b0e130f4a747574"},"schema_version":"1.0","source":{"id":"physics/0311016","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0311016","created_at":"2026-05-18T03:00:15Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0311016v3","created_at":"2026-05-18T03:00:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0311016","created_at":"2026-05-18T03:00:15Z"},{"alias_kind":"pith_short_12","alias_value":"F6OKZQPY2FIX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"F6OKZQPY2FIXZBTC","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"F6OKZQPY","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:1d999843572b354bf31227fd7ad523a774ab7272bc1dc13f5b6e2bd10949e79d","target":"graph","created_at":"2026-05-18T03:00:15Z","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":"Vibrational spectra of polyatomic molecules are often obtained from a polynomial expansion of the adiabatic potential around a minimum. For several molecules, we show that such an approximation displays an unphysical saddle point of comparatively small energy, leading to a region where the potential is negative and unbounded. This poses an upper limit for a reliable evaluation of vibrational levels. We argue that the presence of such saddle points is general.","authors_text":"Alessio Del Monte, Gian Paolo Brivio, Luca G. Molinari, Nicola Manini","cross_cats":["cond-mat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2003-11-04T14:28:13Z","title":"Low-energy unphysical saddle in polynomial molecular potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0311016","kind":"arxiv","version":3},"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":"sha256:2e18d71714e8c4156f3cb3f9fa2d129743fd3197b69b7b47bf0d3e922fb8dedd","target":"record","created_at":"2026-05-18T03:00:15Z","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":"5e1aac2e05fddb42a49768bb6b83d6444254cdb6fef5e38ce47e69c79cb8b623","cross_cats_sorted":["cond-mat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2003-11-04T14:28:13Z","title_canon_sha256":"82a9c24463d9887162cc0613bf3fecaabc0f0cb49db93fa08b0e130f4a747574"},"schema_version":"1.0","source":{"id":"physics/0311016","kind":"arxiv","version":3}},"canonical_sha256":"2f9cacc1f8d1517c8662cbb249070a0044329972483b5b0525f2eed87ee831d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f9cacc1f8d1517c8662cbb249070a0044329972483b5b0525f2eed87ee831d0","first_computed_at":"2026-05-18T03:00:15.076095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:15.076095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IKWuf5w5xhB7xkMJn+CkP/+DxLAo/pnNEfCUbNAK40zTMSr3Gfbw0UZPsL9wS1g2Tfci7Xf9o4GKThn+CEcMBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:15.076864Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0311016","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e18d71714e8c4156f3cb3f9fa2d129743fd3197b69b7b47bf0d3e922fb8dedd","sha256:1d999843572b354bf31227fd7ad523a774ab7272bc1dc13f5b6e2bd10949e79d"],"state_sha256":"9826afe0c96a656c8ab92daef68e72d4f69906ef71eb58fdc97806a9b1ad38d9"}