{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:B2IJFTADU3MJ3DRGGAPGJSSBKL","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":"891106733236ce78fd655bbc8976e491013d68e5d8213fe76e9c7e508df0a973","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-03T10:26:22Z","title_canon_sha256":"e14ff47546bbe914e967fc69df1472220822f2ef3f6aa816f4f74cd6e9862423"},"schema_version":"1.0","source":{"id":"1411.0418","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0418","created_at":"2026-05-18T01:41:35Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0418v3","created_at":"2026-05-18T01:41:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0418","created_at":"2026-05-18T01:41:35Z"},{"alias_kind":"pith_short_12","alias_value":"B2IJFTADU3MJ","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B2IJFTADU3MJ3DRG","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B2IJFTAD","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:a90ca483942e38203db7744999bab4968da51e4163da948697af8ed80e7c18ec","target":"graph","created_at":"2026-05-18T01:41:35Z","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"},"paper":{"abstract_excerpt":"We introduce the concept of multisymplectic formalism, familiar in covariant field theory, for the study of integrable defects in 1+1 classical field theory. The main idea is the coexistence of two Poisson brackets, one for each spacetime coordinate. The Poisson bracket corresponding to the time coordinate is the usual one describing the time evolution of the system. Taking the nonlinear Schr\\\"odinger (NLS) equation as an example, we introduce the new bracket associated to the space coordinate. We show that, in the absence of any defect, the two brackets yield completely equivalent Hamiltonian","authors_text":"A. Kundu, V. Caudrelier","cross_cats":["hep-th","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-03T10:26:22Z","title":"A multisymplectic approach to defects in integrable classical field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0418","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:d954fe3cce1dd276ef5847b44648d4ab0301fd83a4c6075679ca6fc57a09e465","target":"record","created_at":"2026-05-18T01:41:35Z","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":"891106733236ce78fd655bbc8976e491013d68e5d8213fe76e9c7e508df0a973","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-03T10:26:22Z","title_canon_sha256":"e14ff47546bbe914e967fc69df1472220822f2ef3f6aa816f4f74cd6e9862423"},"schema_version":"1.0","source":{"id":"1411.0418","kind":"arxiv","version":3}},"canonical_sha256":"0e9092cc03a6d89d8e26301e64ca4152e0c11595805ed352db14bde5df004aa1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e9092cc03a6d89d8e26301e64ca4152e0c11595805ed352db14bde5df004aa1","first_computed_at":"2026-05-18T01:41:35.991063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:35.991063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+bvDd5laEf0Ag5RcN1Lt9CfIncezFJT/xpp2K6XEDZJa4CMKTno3E4Hpu37V4+dx/MGoY9rX/oXmWeNozokrDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:35.991658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0418","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d954fe3cce1dd276ef5847b44648d4ab0301fd83a4c6075679ca6fc57a09e465","sha256:a90ca483942e38203db7744999bab4968da51e4163da948697af8ed80e7c18ec"],"state_sha256":"5caac44f68b97f509999c12e1fdb88edb1e6da7391128f79c09893a68f977f34"}