{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:6FTBHVIMMJVLMAZFRD5ZM3AQZY","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":"b0c6615e1815231cdfa53e138a7e3bb661c95c3f46e19fc167155a36f9f916dc","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1997-04-04T17:44:27Z","title_canon_sha256":"58e75054458a69464566c22886f86f86dc0227aa27983361c8bf4ed74ccea2b0"},"schema_version":"1.0","source":{"id":"hep-ph/9704242","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9704242","created_at":"2026-07-04T16:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9704242v1","created_at":"2026-07-04T16:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9704242","created_at":"2026-07-04T16:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"6FTBHVIMMJVL","created_at":"2026-07-04T16:04:55Z"},{"alias_kind":"pith_short_16","alias_value":"6FTBHVIMMJVLMAZF","created_at":"2026-07-04T16:04:55Z"},{"alias_kind":"pith_short_8","alias_value":"6FTBHVIM","created_at":"2026-07-04T16:04:55Z"}],"graph_snapshots":[{"event_id":"sha256:54dee0ac7f69135ae42552d862ff2749c182436d38b8c6cbcaf89609af320abe","target":"graph","created_at":"2026-07-04T16:04:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/9704242/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is shown that periodic instanton solutions may have bifurcations which qualitatively change the behaviour of the finite temperature transition rate. These bifurcations are studied numerically in a quantum mechanical model and in the massive two-dimensional sigma model with the Skyrme term. General rules which determine the behaviour of periodic instantons near bifurcations are derived and applied to the Electroweak Theory.","authors_text":"A. N. Kuznetsov, P. G. Tinyakov","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1997-04-04T17:44:27Z","title":"Periodic Instanton Bifurcations and Thermal Transition Rate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9704242","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:c20635a26adc9606373e34eb9a08e211c1c9155eda2be77c9f35e10720c1509c","target":"record","created_at":"2026-07-04T16:04:55Z","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":"b0c6615e1815231cdfa53e138a7e3bb661c95c3f46e19fc167155a36f9f916dc","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1997-04-04T17:44:27Z","title_canon_sha256":"58e75054458a69464566c22886f86f86dc0227aa27983361c8bf4ed74ccea2b0"},"schema_version":"1.0","source":{"id":"hep-ph/9704242","kind":"arxiv","version":1}},"canonical_sha256":"f16613d50c626ab6032588fb966c10ce15309e82e07f7ad5696d74e657e59c00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f16613d50c626ab6032588fb966c10ce15309e82e07f7ad5696d74e657e59c00","first_computed_at":"2026-07-04T16:04:55.529469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:04:55.529469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5SajZYChP/4QNm8c0HoPhnFgaYAJjXjyI8Vif+XC0Yx6D7i9wCvLYnVMaY4CbnNe4WFVSRfqLKTHAN4fGLVLDw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:04:55.529908Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9704242","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c20635a26adc9606373e34eb9a08e211c1c9155eda2be77c9f35e10720c1509c","sha256:54dee0ac7f69135ae42552d862ff2749c182436d38b8c6cbcaf89609af320abe"],"state_sha256":"148beac49bb67db7b913f2b03fbb3bdb595091741fe51b311c6fa50a0990567e"}