{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:75Q3JFJ37XGRLT4KW2JTXUW5AY","short_pith_number":"pith:75Q3JFJ3","schema_version":"1.0","canonical_sha256":"ff61b4953bfdcd15cf8ab6933bd2dd062bbdafde6d0290b774eedf13cbf8ad76","source":{"kind":"arxiv","id":"2111.06790","version":4},"attestation_state":"computed","paper":{"title":"Relativistic Moduli Space for Kink Collisions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. Wereszczynski, C. Adam, K. Oles, N. S. Manton, T. Romanczukiewicz","submitted_at":"2021-11-12T16:06:50Z","abstract_excerpt":"The moduli space approximation to kink dynamics permits a relativistic generalization if the Derrick scaling parameter is used as a collective coordinate. We develop a perturbative approach to the resulting relativistic moduli space by expanding the Derrick scaling parameter about unity and treating the higher-order Derrick modes as new degrees of freedom. This approach allows us to resolve (coordinate) singularities order-by-order, and systematically incorporates relativistic corrections {\\it perturbatively} in kink scattering. It gives an excellent description of kink-antikink collisions in "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2111.06790","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-11-12T16:06:50Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"da8a242a1eadc647eab8a807cfe647841799d1333a87a0238105c596ca2e8fbf","abstract_canon_sha256":"8dbbb5c7f54d66c893a3ec36f33f374b7d4dc679b6ce81320a000d88382bb853"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:11:51.361769Z","signature_b64":"Aq0UExjh964GyBsJnZ+uuri90OErC82xidH4KUhFrm+JGODE72IF4UrxNLa205vQlqkJ1hUQNAPdOHqLblHABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff61b4953bfdcd15cf8ab6933bd2dd062bbdafde6d0290b774eedf13cbf8ad76","last_reissued_at":"2026-07-05T04:11:51.361381Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:11:51.361381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relativistic Moduli Space for Kink Collisions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. Wereszczynski, C. Adam, K. Oles, N. S. Manton, T. Romanczukiewicz","submitted_at":"2021-11-12T16:06:50Z","abstract_excerpt":"The moduli space approximation to kink dynamics permits a relativistic generalization if the Derrick scaling parameter is used as a collective coordinate. We develop a perturbative approach to the resulting relativistic moduli space by expanding the Derrick scaling parameter about unity and treating the higher-order Derrick modes as new degrees of freedom. This approach allows us to resolve (coordinate) singularities order-by-order, and systematically incorporates relativistic corrections {\\it perturbatively} in kink scattering. It gives an excellent description of kink-antikink collisions in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.06790","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2111.06790/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2111.06790","created_at":"2026-07-05T04:11:51.361436+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.06790v4","created_at":"2026-07-05T04:11:51.361436+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.06790","created_at":"2026-07-05T04:11:51.361436+00:00"},{"alias_kind":"pith_short_12","alias_value":"75Q3JFJ37XGR","created_at":"2026-07-05T04:11:51.361436+00:00"},{"alias_kind":"pith_short_16","alias_value":"75Q3JFJ37XGRLT4K","created_at":"2026-07-05T04:11:51.361436+00:00"},{"alias_kind":"pith_short_8","alias_value":"75Q3JFJ3","created_at":"2026-07-05T04:11:51.361436+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/75Q3JFJ37XGRLT4KW2JTXUW5AY","json":"https://pith.science/pith/75Q3JFJ37XGRLT4KW2JTXUW5AY.json","graph_json":"https://pith.science/api/pith-number/75Q3JFJ37XGRLT4KW2JTXUW5AY/graph.json","events_json":"https://pith.science/api/pith-number/75Q3JFJ37XGRLT4KW2JTXUW5AY/events.json","paper":"https://pith.science/paper/75Q3JFJ3"},"agent_actions":{"view_html":"https://pith.science/pith/75Q3JFJ37XGRLT4KW2JTXUW5AY","download_json":"https://pith.science/pith/75Q3JFJ37XGRLT4KW2JTXUW5AY.json","view_paper":"https://pith.science/paper/75Q3JFJ3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.06790&json=true","fetch_graph":"https://pith.science/api/pith-number/75Q3JFJ37XGRLT4KW2JTXUW5AY/graph.json","fetch_events":"https://pith.science/api/pith-number/75Q3JFJ37XGRLT4KW2JTXUW5AY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/75Q3JFJ37XGRLT4KW2JTXUW5AY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/75Q3JFJ37XGRLT4KW2JTXUW5AY/action/storage_attestation","attest_author":"https://pith.science/pith/75Q3JFJ37XGRLT4KW2JTXUW5AY/action/author_attestation","sign_citation":"https://pith.science/pith/75Q3JFJ37XGRLT4KW2JTXUW5AY/action/citation_signature","submit_replication":"https://pith.science/pith/75Q3JFJ37XGRLT4KW2JTXUW5AY/action/replication_record"}},"created_at":"2026-07-05T04:11:51.361436+00:00","updated_at":"2026-07-05T04:11:51.361436+00:00"}