{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:O5U5SQOMJ7JTMVXPAHE7CDC2X2","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":"e06e64e0f3e9ccbfdde6ecb2e6d77fe707136a62c5f3d0bcab3b69397cebd55a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-24T12:29:54Z","title_canon_sha256":"6cb709606bf1ef05b17d8d5f24ff9925faec0a8097a1d685c5171d4993208521"},"schema_version":"1.0","source":{"id":"1303.5941","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5941","created_at":"2026-05-18T03:29:52Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5941v1","created_at":"2026-05-18T03:29:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5941","created_at":"2026-05-18T03:29:52Z"},{"alias_kind":"pith_short_12","alias_value":"O5U5SQOMJ7JT","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"O5U5SQOMJ7JTMVXP","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"O5U5SQOM","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:6a87c2abdf0abe0978766760341c4782270e44795d3c0cb59552754de9dfe61b","target":"graph","created_at":"2026-05-18T03:29:52Z","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":"This paper studies analytically the stability of solitary waves in a generalized Boussinesq equation with quadratic-cubic nonlinearity. For general values of two parameters a and b determining the system, unstable waves may occur. If however, as in a situation for which this Boussinesq equation was recently proposed as a model for pulse propagation in nerves, (a,b) belongs to a certain natural regime, then all possible waves are stable.","authors_text":"Heinrich Freist\\\"uhler, Johannes H\\\"owing","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-24T12:29:54Z","title":"An analytical proof for the stability of Heimburg-Jackson pulses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5941","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":"sha256:65bcd16cd8724f1b33246f6ea518d147a6e57429a5d2b667d60a1788f19e32f9","target":"record","created_at":"2026-05-18T03:29:52Z","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":"e06e64e0f3e9ccbfdde6ecb2e6d77fe707136a62c5f3d0bcab3b69397cebd55a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-24T12:29:54Z","title_canon_sha256":"6cb709606bf1ef05b17d8d5f24ff9925faec0a8097a1d685c5171d4993208521"},"schema_version":"1.0","source":{"id":"1303.5941","kind":"arxiv","version":1}},"canonical_sha256":"7769d941cc4fd33656ef01c9f10c5abe89d2e713e404af3ce24717e5858ee1b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7769d941cc4fd33656ef01c9f10c5abe89d2e713e404af3ce24717e5858ee1b5","first_computed_at":"2026-05-18T03:29:52.432678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:52.432678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fYE+Bj/u/zkrxNsOcOXukf+apn0dVyQmfdNnI3CwpHga+HuCughxjzyyLH0RuUGyAU9FrayWosf15j3QAd6CCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:52.433545Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5941","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65bcd16cd8724f1b33246f6ea518d147a6e57429a5d2b667d60a1788f19e32f9","sha256:6a87c2abdf0abe0978766760341c4782270e44795d3c0cb59552754de9dfe61b"],"state_sha256":"ca9e276233af55bd6bbc19121657dac50c350d64a8eec622f3c3445e8b62cdeb"}