{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:D6O2L3KFHH7O44OD5JBBAUSW5K","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":"15c5a7a6bb8cb3fa738a8b5f32724bc8491d3283ff895094f7369c0dd884a175","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-02T17:56:50Z","title_canon_sha256":"fe140d8cee404b15d283c300addbbe00cda2995856bb79d8a40c78c92a94230d"},"schema_version":"1.0","source":{"id":"2106.01353","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.01353","created_at":"2026-07-05T03:47:19Z"},{"alias_kind":"arxiv_version","alias_value":"2106.01353v3","created_at":"2026-07-05T03:47:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.01353","created_at":"2026-07-05T03:47:19Z"},{"alias_kind":"pith_short_12","alias_value":"D6O2L3KFHH7O","created_at":"2026-07-05T03:47:19Z"},{"alias_kind":"pith_short_16","alias_value":"D6O2L3KFHH7O44OD","created_at":"2026-07-05T03:47:19Z"},{"alias_kind":"pith_short_8","alias_value":"D6O2L3KF","created_at":"2026-07-05T03:47:19Z"}],"graph_snapshots":[{"event_id":"sha256:87acf8cc317ea7d78914b05f5f10a64e08844664f9c5bd26a64d3f4ea4a7ae9f","target":"graph","created_at":"2026-07-05T03:47:19Z","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/2106.01353/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study dynamics of multi-soliton solutions of anti-self-dual Yang-Mills equations for G=GL(2,C) in four-dimensional spaces. The one-soliton solution can be interpreted as a codimension-one soliton in four-dimensional spaces because the principal peak of action density localizes on a three-dimensional hyperplane. We call it the soliton wall. We prove that in the asymptotic region, the n-soliton solution possesses n isolated localized lumps of action density, and interpret it as n intersecting soliton walls. More precisely, each action density lump is essentially the same as a soliton wall bec","authors_text":"Masashi Hamanaka, Shan-Chi Huang","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-02T17:56:50Z","title":"Multi-Soliton Dynamics of Anti-Self-Dual Gauge Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.01353","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:f6e4689033fb16f7d59078a85e9512e2d8551f0595dcdb282afcb0c81ca561da","target":"record","created_at":"2026-07-05T03:47:19Z","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":"15c5a7a6bb8cb3fa738a8b5f32724bc8491d3283ff895094f7369c0dd884a175","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-06-02T17:56:50Z","title_canon_sha256":"fe140d8cee404b15d283c300addbbe00cda2995856bb79d8a40c78c92a94230d"},"schema_version":"1.0","source":{"id":"2106.01353","kind":"arxiv","version":3}},"canonical_sha256":"1f9da5ed4539feee71c3ea42105256ea9112b0c44996dbc4a9507cf5d8551c7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f9da5ed4539feee71c3ea42105256ea9112b0c44996dbc4a9507cf5d8551c7c","first_computed_at":"2026-07-05T03:47:19.993691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:47:19.993691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YKUmn9R6+vl8iiLRLeghVvPTuEO9kg+95c2NLjbzzhRDQdoo3uRzN8wAZn1Ro4n3gpKRUxzCCZRi28FT8A3VCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:47:19.994140Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.01353","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6e4689033fb16f7d59078a85e9512e2d8551f0595dcdb282afcb0c81ca561da","sha256:87acf8cc317ea7d78914b05f5f10a64e08844664f9c5bd26a64d3f4ea4a7ae9f"],"state_sha256":"2479c42c818dbd6c7fe3113b2d269715c165c3da85f78c196c6b7fd9fc5c58a5"}