{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:A3O7WE6EYNMCPDQMEIQN37HYRX","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":"1effa769cea460b013b379f74c33243279e2a1857b156e9814458d1ba5b99944","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-16T08:57:24Z","title_canon_sha256":"c632b38377f9903703567abb1c47e17adecf1a455375b16bb23eece988e24421"},"schema_version":"1.0","source":{"id":"1908.05893","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.05893","created_at":"2026-07-05T00:13:53Z"},{"alias_kind":"arxiv_version","alias_value":"1908.05893v2","created_at":"2026-07-05T00:13:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05893","created_at":"2026-07-05T00:13:53Z"},{"alias_kind":"pith_short_12","alias_value":"A3O7WE6EYNMC","created_at":"2026-07-05T00:13:53Z"},{"alias_kind":"pith_short_16","alias_value":"A3O7WE6EYNMCPDQM","created_at":"2026-07-05T00:13:53Z"},{"alias_kind":"pith_short_8","alias_value":"A3O7WE6E","created_at":"2026-07-05T00:13:53Z"}],"graph_snapshots":[{"event_id":"sha256:ce783f800dd6effa046749260cc79b0162fffb0a2b6ad6fad9d549e23946021a","target":"graph","created_at":"2026-07-05T00:13:53Z","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/1908.05893/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A first order equation for a static ${\\phi}^4$ kink in the presence of an impurity is extended into an iterative scheme. At the first iteration, the solution is the standard kink, but at the second iteration the kink impurity generates a kink-antikink solution or a bump solution, depending on a constant of integration. The third iterate can be a kink-antikink-kink solution or a single kink modified by a variant of the kink's shape mode. All equations are first order ODEs, so the nth iterate has n moduli, and it is proposed that the moduli space could be used to model the dynamics of n kinks an","authors_text":"A. Wereszczy\\'nski, K. Ole\\'s, N. S. Manton","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-16T08:57:24Z","title":"Iterated ${\\phi}^4$ Kinks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05893","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":"sha256:2cb707a61f31a44802f9b4bb42483284d1cee2500dce538139dbf7b779133609","target":"record","created_at":"2026-07-05T00:13:53Z","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":"1effa769cea460b013b379f74c33243279e2a1857b156e9814458d1ba5b99944","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-16T08:57:24Z","title_canon_sha256":"c632b38377f9903703567abb1c47e17adecf1a455375b16bb23eece988e24421"},"schema_version":"1.0","source":{"id":"1908.05893","kind":"arxiv","version":2}},"canonical_sha256":"06ddfb13c4c358278e0c2220ddfcf88def4f387ed5fa6a06bcdccfa61f5a64f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06ddfb13c4c358278e0c2220ddfcf88def4f387ed5fa6a06bcdccfa61f5a64f4","first_computed_at":"2026-07-05T00:13:53.353732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:13:53.353732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"epN9mBwD9Rf093TbKQAXkoobfH9K/i9Omh3LS8OrkoxLKQ1GB0dCcqmfBrg4eGUEDA5rvrh0H8LU27VY0SHzBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:13:53.354124Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.05893","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cb707a61f31a44802f9b4bb42483284d1cee2500dce538139dbf7b779133609","sha256:ce783f800dd6effa046749260cc79b0162fffb0a2b6ad6fad9d549e23946021a"],"state_sha256":"10603ae067471400781c741e2c17f1c1cb5bcc3f78aca7e393dd8d0f16a86255"}