{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DKX7IBHRDOB24WWDGP2ITSNZIC","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":"678798bd07454bf78354b4fe50360768706f259575552d5004b153a78dda65fb","cross_cats_sorted":["math-ph","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-07T14:43:43Z","title_canon_sha256":"3575bdb21a2ce4f48ce7dc6c36823a08645b0f7f1ce89ec9c672191272116d8f"},"schema_version":"1.0","source":{"id":"2411.04754","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.04754","created_at":"2026-07-05T11:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"2411.04754v3","created_at":"2026-07-05T11:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.04754","created_at":"2026-07-05T11:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"DKX7IBHRDOB2","created_at":"2026-07-05T11:02:13Z"},{"alias_kind":"pith_short_16","alias_value":"DKX7IBHRDOB24WWD","created_at":"2026-07-05T11:02:13Z"},{"alias_kind":"pith_short_8","alias_value":"DKX7IBHR","created_at":"2026-07-05T11:02:13Z"}],"graph_snapshots":[{"event_id":"sha256:4fca8609832dff9a2bd2e2a50cb816553f74a1c984a9346f916205ef8f617003","target":"graph","created_at":"2026-07-05T11:02:13Z","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/2411.04754/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Membrane configurations in the Banks-Fischler-Shenker-Susskind matrix model are unstable due to the existence of flat directions in the potential and the decay process can be seen as a realization of chaotic scattering. In this note, we compute the lifetime of a membrane in a reduced model. The resulting lifetime exhibits scaling laws with respect to energy, coupling constant and a cut-off scale. We numerically evaluate the scaling exponents, which cannot be fixed by the dimensional analysis. Finally, some applications of the results are discussed.","authors_text":"Kentaroh Yoshida, Osamu Fukushima, Tomohiro Shigemura","cross_cats":["math-ph","math.MP","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-07T14:43:43Z","title":"Scaling law for membrane lifetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.04754","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":"sha256:851f06645ac6554a602ab9a810651580de918f6e209e0954238d5ad7139a856e","target":"record","created_at":"2026-07-05T11:02:13Z","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":"678798bd07454bf78354b4fe50360768706f259575552d5004b153a78dda65fb","cross_cats_sorted":["math-ph","math.MP","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-07T14:43:43Z","title_canon_sha256":"3575bdb21a2ce4f48ce7dc6c36823a08645b0f7f1ce89ec9c672191272116d8f"},"schema_version":"1.0","source":{"id":"2411.04754","kind":"arxiv","version":3}},"canonical_sha256":"1aaff404f11b83ae5ac333f489c9b940a69782599c3381aa2d689b2b4e0acf46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aaff404f11b83ae5ac333f489c9b940a69782599c3381aa2d689b2b4e0acf46","first_computed_at":"2026-07-05T11:02:13.943093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:02:13.943093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2st/qn/qBQGerQa8M+lqB5cib0vU3QT+/JbdL0AJMh1mmqHzF3bXKX/N1CMCo1ieH8oDz7lDeWwjcz692QnLCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:02:13.943584Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.04754","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:851f06645ac6554a602ab9a810651580de918f6e209e0954238d5ad7139a856e","sha256:4fca8609832dff9a2bd2e2a50cb816553f74a1c984a9346f916205ef8f617003"],"state_sha256":"416a0a2c2e1ef9591f1ec1e8d2c0d8424878cf890e3479ca233192276450b814"}