{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:AUIUXC7QNP35GF5W2XD2MNO7UY","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":"548f87f3a92f1c6af9132121f048acc0d4d3ba97e8654e73fb916d898d50ebfa","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1998-02-28T02:36:17Z","title_canon_sha256":"82ce6cbd7c06013474f2e62dc28bbb306fae6c772c4ab9a814a21063a20e3b7b"},"schema_version":"1.0","source":{"id":"hep-ph/9803201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9803201","created_at":"2026-05-18T02:36:58Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9803201v1","created_at":"2026-05-18T02:36:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9803201","created_at":"2026-05-18T02:36:58Z"},{"alias_kind":"pith_short_12","alias_value":"AUIUXC7QNP35","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"AUIUXC7QNP35GF5W","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"AUIUXC7Q","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:9280ca65dabf6dc18a4a4603b2c150fca9d8100a5266058661385b4befa8cddd","target":"graph","created_at":"2026-05-18T02:36:58Z","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":"Time evolution of unstable particles that occur in the expanding universe is investigated. The off-shell effect not included in the Boltzmann-like equation is important for the decay process when the temperature becomes much below the mass of unstable particle. When the off-shell effect is taken into account, the thermal abundance of unstable particles at low temperatures has a power law behavior of temperature $T$, $\\frac{\\Gamma}{M}(\\frac{T}{M})^{\\alpha + 1}$ unlike the Boltzmann suppressed $e^{-M/T}$, with the power $\\alpha $ related to the spectral rise near the threshold of the decay and w","authors_text":"I. Joichi, M. Yoshimura, Sh. Matsumoto","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1998-02-28T02:36:17Z","title":"Prolonged Decay and CP-asymmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9803201","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:fe4066861dddc15740198b01ee21d96383a3b80b453a0b47b7fb7449aa748c08","target":"record","created_at":"2026-05-18T02:36:58Z","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":"548f87f3a92f1c6af9132121f048acc0d4d3ba97e8654e73fb916d898d50ebfa","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1998-02-28T02:36:17Z","title_canon_sha256":"82ce6cbd7c06013474f2e62dc28bbb306fae6c772c4ab9a814a21063a20e3b7b"},"schema_version":"1.0","source":{"id":"hep-ph/9803201","kind":"arxiv","version":1}},"canonical_sha256":"05114b8bf06bf7d317b6d5c7a635dfa6143983bd47a4c0e58b42cada9b553b21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05114b8bf06bf7d317b6d5c7a635dfa6143983bd47a4c0e58b42cada9b553b21","first_computed_at":"2026-05-18T02:36:58.933121Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:58.933121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"btMCPMufno4yblrOi9JErYnp1BMFeAucpj15dgQ8KubKQR0SvF7eh4wtPQjD/zq9DMP0LSdcWgapWij/xNeaBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:58.933921Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9803201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe4066861dddc15740198b01ee21d96383a3b80b453a0b47b7fb7449aa748c08","sha256:9280ca65dabf6dc18a4a4603b2c150fca9d8100a5266058661385b4befa8cddd"],"state_sha256":"7641a8e86965e633d1cbd9b59d871617b0eb0f3932957ffd37301c4336e03498"}