{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:R6OLJJG7AYES3WOHZXDFJBKDIS","short_pith_number":"pith:R6OLJJG7","canonical_record":{"source":{"id":"2508.21659","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-29T14:21:55Z","cross_cats_sorted":["cs.NA","math.AP","quant-ph"],"title_canon_sha256":"1753deb0169b3b1d8522ad97efa188e9ad7a5c817908363e0fb85e108d905662","abstract_canon_sha256":"0928ce87d0723dbb275dacf3deaa4a2c6f95ef4fe2d0c1fd4e1e0f44c54dc0dc"},"schema_version":"1.0"},"canonical_sha256":"8f9cb4a4df06092dd9c7cdc65485434493b592674802b74966b1ef8ef514c198","source":{"kind":"arxiv","id":"2508.21659","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:R6OLJJG7AYES3WOHZXDFJBKDIS","target":"record","payload":{"canonical_record":{"source":{"id":"2508.21659","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-29T14:21:55Z","cross_cats_sorted":["cs.NA","math.AP","quant-ph"],"title_canon_sha256":"1753deb0169b3b1d8522ad97efa188e9ad7a5c817908363e0fb85e108d905662","abstract_canon_sha256":"0928ce87d0723dbb275dacf3deaa4a2c6f95ef4fe2d0c1fd4e1e0f44c54dc0dc"},"schema_version":"1.0"},"canonical_sha256":"8f9cb4a4df06092dd9c7cdc65485434493b592674802b74966b1ef8ef514c198","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T02:05:35.292127Z","signature_b64":"23zOhB2ErBEGrrwMSpAUQXEbq+JAsiyjHqCKBD7+nX9VxfsWYeWH+jZVHBcIXFgc+qOapc6aiU+AVt/TqUa9AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f9cb4a4df06092dd9c7cdc65485434493b592674802b74966b1ef8ef514c198","last_reissued_at":"2026-05-20T02:05:35.291485Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T02:05:35.291485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.21659","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T02:05:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L2RyrGpxOKyHNCv5XpwAaN2WRxzQpPKNXo2+ggfj+Ll/gfRTOsNUi1y60qyCPs2zW0DD0j9rZjDwTh4OB3QfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:34:48.542804Z"},"content_sha256":"bfe236cd70e71fd21237c6e9d16be0335bc44820100fb5f9dccb9d8d1086fb78","schema_version":"1.0","event_id":"sha256:bfe236cd70e71fd21237c6e9d16be0335bc44820100fb5f9dccb9d8d1086fb78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:R6OLJJG7AYES3WOHZXDFJBKDIS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.AP","quant-ph"],"primary_cat":"math.NA","authors_text":"Makoto Nakamura, Takuya Tsuchiya","submitted_at":"2025-08-29T14:21:55Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.21659","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.21659/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T02:05:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pbDQg2Fu+mANF4O4axvbg6zlNdsHfUr+Y4iZWaaDyjZsQhDTCw/2ieMcCm6plNhg5vZ2/y6bi93uZnolbhs9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:34:48.543610Z"},"content_sha256":"a642dff7b9ad9e7395e709731b199df98639f209db885f66e897fa8fc014020f","schema_version":"1.0","event_id":"sha256:a642dff7b9ad9e7395e709731b199df98639f209db885f66e897fa8fc014020f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R6OLJJG7AYES3WOHZXDFJBKDIS/bundle.json","state_url":"https://pith.science/pith/R6OLJJG7AYES3WOHZXDFJBKDIS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R6OLJJG7AYES3WOHZXDFJBKDIS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T02:34:48Z","links":{"resolver":"https://pith.science/pith/R6OLJJG7AYES3WOHZXDFJBKDIS","bundle":"https://pith.science/pith/R6OLJJG7AYES3WOHZXDFJBKDIS/bundle.json","state":"https://pith.science/pith/R6OLJJG7AYES3WOHZXDFJBKDIS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R6OLJJG7AYES3WOHZXDFJBKDIS/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jU1W/ib8d80gqAl6tHCEPwLeKpBM9us4r/r/zqre8TkvVcUj3UQgE/E+yjX/+S7lPdFwLZ2Klmlsrq0kZLRWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:34:48.548107Z","bundle_sha256":"dd95e8cbf340e18fa6265e484c4ba59d7b6962f1aaf0632500595bd4b7b8a900"}}