{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:R6OLJJG7AYES3WOHZXDFJBKDIS","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":"0928ce87d0723dbb275dacf3deaa4a2c6f95ef4fe2d0c1fd4e1e0f44c54dc0dc","cross_cats_sorted":["cs.NA","math.AP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-29T14:21:55Z","title_canon_sha256":"1753deb0169b3b1d8522ad97efa188e9ad7a5c817908363e0fb85e108d905662"},"schema_version":"1.0","source":{"id":"2508.21659","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.21659","created_at":"2026-05-20T02:05:35Z"},{"alias_kind":"arxiv_version","alias_value":"2508.21659v2","created_at":"2026-05-20T02:05:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.21659","created_at":"2026-05-20T02:05:35Z"},{"alias_kind":"pith_short_12","alias_value":"R6OLJJG7AYES","created_at":"2026-05-20T02:05:35Z"},{"alias_kind":"pith_short_16","alias_value":"R6OLJJG7AYES3WOH","created_at":"2026-05-20T02:05:35Z"},{"alias_kind":"pith_short_8","alias_value":"R6OLJJG7","created_at":"2026-05-20T02:05:35Z"}],"graph_snapshots":[{"event_id":"sha256:a642dff7b9ad9e7395e709731b199df98639f209db885f66e897fa8fc014020f","target":"graph","created_at":"2026-05-20T02:05:35Z","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/2508.21659/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We perform some simulations of the semilinear Klein--Gordon equation with a power-law nonlinear term and propose each of the quantitative evaluation methods for the stability and convergence of numerical solutions. We also investigate each of the thresholds in the methods by varying the amplitude of the initial value and the mass, and propose appropriate values.","authors_text":"Makoto Nakamura, Takuya Tsuchiya","cross_cats":["cs.NA","math.AP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-29T14:21:55Z","title":"Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.21659","kind":"arxiv","version":2},"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:bfe236cd70e71fd21237c6e9d16be0335bc44820100fb5f9dccb9d8d1086fb78","target":"record","created_at":"2026-05-20T02:05:35Z","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":"0928ce87d0723dbb275dacf3deaa4a2c6f95ef4fe2d0c1fd4e1e0f44c54dc0dc","cross_cats_sorted":["cs.NA","math.AP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-29T14:21:55Z","title_canon_sha256":"1753deb0169b3b1d8522ad97efa188e9ad7a5c817908363e0fb85e108d905662"},"schema_version":"1.0","source":{"id":"2508.21659","kind":"arxiv","version":2}},"canonical_sha256":"8f9cb4a4df06092dd9c7cdc65485434493b592674802b74966b1ef8ef514c198","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f9cb4a4df06092dd9c7cdc65485434493b592674802b74966b1ef8ef514c198","first_computed_at":"2026-05-20T02:05:35.291485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T02:05:35.291485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"23zOhB2ErBEGrrwMSpAUQXEbq+JAsiyjHqCKBD7+nX9VxfsWYeWH+jZVHBcIXFgc+qOapc6aiU+AVt/TqUa9AA==","signature_status":"signed_v1","signed_at":"2026-05-20T02:05:35.292127Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.21659","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfe236cd70e71fd21237c6e9d16be0335bc44820100fb5f9dccb9d8d1086fb78","sha256:a642dff7b9ad9e7395e709731b199df98639f209db885f66e897fa8fc014020f"],"state_sha256":"be10f80fa2894a548e4892113265ff96c816a2f3ab2ecf54bd0f972d0cdb21c4"}