{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZY7QOW4IHW2QZIYI6JKMG7XM2G","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":"4df0134ddb50f34970fb9ac95c5bca140b8364b91c2f1254b618c9728ad30b61","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-09T13:02:25Z","title_canon_sha256":"0777b84812db1429c6b636f2599080fd7d9ee3a0e7fc407df3d01793cd7e4529"},"schema_version":"1.0","source":{"id":"1406.2164","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2164","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2164v1","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2164","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"ZY7QOW4IHW2Q","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZY7QOW4IHW2QZIYI","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZY7QOW4I","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:5940f1fbd1e970a1479e65ed3fa071a1032dbbb64b9f94f10bdd1fc90842205a","target":"graph","created_at":"2026-05-18T01:43:01Z","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":"In this paper we employ three recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a family of so-called short-pulse equations (SPE). A recent, novel application of phase-plane analysis is first employed to show the existence of breaking kink wave solutions in certain parameter regimes. Secondly, smooth traveling waves are derived using a recent technique to derive convergent multi-infinite series solutions for the homoclinic (heteroclinic) orbits of the traveling-wave equations for the SPE equation, as well as for its generalized vers","authors_text":"A. Ghose Choudhury, G. Gambino, P. Guha, S. Roy Choudhury, U. Tanriver","cross_cats":["math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-09T13:02:25Z","title":"Regular and Singular Pulse and Front Solutions and Possible Isochronous Behavior in the Short-Pulse Equation: Phase-Plane, Multi-Infinite Series and Variational Approaches"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2164","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":"sha256:612c99b77bec90785c793bd30f0f7f391d1ca52d7b6a69fe7902e66e03c3c00a","target":"record","created_at":"2026-05-18T01:43:01Z","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":"4df0134ddb50f34970fb9ac95c5bca140b8364b91c2f1254b618c9728ad30b61","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-09T13:02:25Z","title_canon_sha256":"0777b84812db1429c6b636f2599080fd7d9ee3a0e7fc407df3d01793cd7e4529"},"schema_version":"1.0","source":{"id":"1406.2164","kind":"arxiv","version":1}},"canonical_sha256":"ce3f075b883db50ca308f254c37eecd1b5aa2bd87c7080d8799d73db93a01372","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce3f075b883db50ca308f254c37eecd1b5aa2bd87c7080d8799d73db93a01372","first_computed_at":"2026-05-18T01:43:01.183765Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:01.183765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FjjFaX7DrV2OmW8vAGG6yPeyinBlJE/FNttL5JQoUSUJZAl2/e2rDpMYmZUG+cQzrVvOTskVckIjWCidST/EDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:01.184407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2164","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:612c99b77bec90785c793bd30f0f7f391d1ca52d7b6a69fe7902e66e03c3c00a","sha256:5940f1fbd1e970a1479e65ed3fa071a1032dbbb64b9f94f10bdd1fc90842205a"],"state_sha256":"41f6d70139a59320ea454828d082804f5bd1ac274aa24ffde5d44579c76ee94d"}