{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JCSUOJ5XZITD6DHZHPQCMJCLGA","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":"66c3ee66f3cda9603414b06895a516feb7dd386b96a2d9cebe8b206238a5d734","cross_cats_sorted":["math-ph","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2014-11-10T12:28:39Z","title_canon_sha256":"37cdd96cc0a374a7575ba795f293d6d30b229bd61f7007ab7ba41bb79885e017"},"schema_version":"1.0","source":{"id":"1411.2403","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2403","created_at":"2026-05-18T01:27:32Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2403v1","created_at":"2026-05-18T01:27:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2403","created_at":"2026-05-18T01:27:32Z"},{"alias_kind":"pith_short_12","alias_value":"JCSUOJ5XZITD","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JCSUOJ5XZITD6DHZ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JCSUOJ5X","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:f5784b5ed3b3b8a2e6d6849994086a96e80bb2b71ff248708ae9671fdf00f12a","target":"graph","created_at":"2026-05-18T01:27:32Z","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":"We have derived an analytical trace formula for the level density of the H\\'enon-Heiles potential using the improved stationary phase method, based on extensions of Gutzwiller's semiclassical path integral approach. This trace formula has the correct limit to the standard Gutzwiller trace formula for the isolated periodic orbits far from all (critical) symmetry-breaking points. It continuously joins all critical points at which an enhancement of the semiclassical amplitudes occurs. We found a good agreement between the semi- classical and the quantum oscillating level densities for the gross s","authors_text":"A. G. Magner, K. Arita, M. Brack, M. V. Koliesnik, Ya. D. Krivenko-Emetov","cross_cats":["math-ph","math.MP","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2014-11-10T12:28:39Z","title":"Semiclassical treatment of symmetry breaking and bifurcations in a non-integrable potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2403","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":"sha256:517e0ce28813d385efab8cc4e359ff7aef958764b3bda242ffacd7453db311f4","target":"record","created_at":"2026-05-18T01:27:32Z","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":"66c3ee66f3cda9603414b06895a516feb7dd386b96a2d9cebe8b206238a5d734","cross_cats_sorted":["math-ph","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2014-11-10T12:28:39Z","title_canon_sha256":"37cdd96cc0a374a7575ba795f293d6d30b229bd61f7007ab7ba41bb79885e017"},"schema_version":"1.0","source":{"id":"1411.2403","kind":"arxiv","version":1}},"canonical_sha256":"48a54727b7ca263f0cf93be026244b3025b19a67832bd228d3b8e504586e3312","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48a54727b7ca263f0cf93be026244b3025b19a67832bd228d3b8e504586e3312","first_computed_at":"2026-05-18T01:27:32.155145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:32.155145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nru7GD9r42/jamj7/HUAHEnyCNHx30hw26OdQr9aAUgBexacI66AXw0gGvRNGb9mSNjGCklS8wMtKZp8iLcFDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:32.155721Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2403","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:517e0ce28813d385efab8cc4e359ff7aef958764b3bda242ffacd7453db311f4","sha256:f5784b5ed3b3b8a2e6d6849994086a96e80bb2b71ff248708ae9671fdf00f12a"],"state_sha256":"97ebc673b9bab39eeede8504a64ecea33a1777cadf05f5de8fecf0d1074b70b1"}