{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:F5UO2HRAAZYBU4HP44T35NPYHR","short_pith_number":"pith:F5UO2HRA","canonical_record":{"source":{"id":"2408.11045","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-20T17:55:06Z","cross_cats_sorted":["cond-mat.str-el","math.QA"],"title_canon_sha256":"dcef9c6a418bf3fb702a4eb8e3691a36b88fa135436c4c8596fbf6afd6bfdd19","abstract_canon_sha256":"28445336d1fece207b939853f0da712120c0147c67c647520da8181b5c5ba2d6"},"schema_version":"1.0"},"canonical_sha256":"2f68ed1e2006701a70efe727beb5f83c4191101b09ffa6b4c5116c873f3d0b4b","source":{"kind":"arxiv","id":"2408.11045","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.11045","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"2408.11045v3","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.11045","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"F5UO2HRAAZYB","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"pith_short_16","alias_value":"F5UO2HRAAZYBU4HP","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"pith_short_8","alias_value":"F5UO2HRA","created_at":"2026-06-12T01:09:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:F5UO2HRAAZYBU4HP44T35NPYHR","target":"record","payload":{"canonical_record":{"source":{"id":"2408.11045","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-20T17:55:06Z","cross_cats_sorted":["cond-mat.str-el","math.QA"],"title_canon_sha256":"dcef9c6a418bf3fb702a4eb8e3691a36b88fa135436c4c8596fbf6afd6bfdd19","abstract_canon_sha256":"28445336d1fece207b939853f0da712120c0147c67c647520da8181b5c5ba2d6"},"schema_version":"1.0"},"canonical_sha256":"2f68ed1e2006701a70efe727beb5f83c4191101b09ffa6b4c5116c873f3d0b4b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:09:05.190501Z","signature_b64":"4++Glv40Yn52kS2x0UnMmIESsAjK54impb6oLVeXwVHQXXIHhxoZGdgPET4bLwoR7PdPIHZRRiIiRU2I0i0nBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f68ed1e2006701a70efe727beb5f83c4191101b09ffa6b4c5116c873f3d0b4b","last_reissued_at":"2026-06-12T01:09:05.189679Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:09:05.189679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.11045","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-12T01:09:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eo2R5WvqUi6l0rU9myi/iSOwfMNNBSj4ySJI8fIQcGKB/E4/Ju1wKWlWACLPRrOyXCFgP5rTemlPk/zAZDn2Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T14:48:52.438622Z"},"content_sha256":"84cc1d42edb3fcb4f4a311ba561a74c82471a5b78fec23bc1abb5c6e53d1eca8","schema_version":"1.0","event_id":"sha256:84cc1d42edb3fcb4f4a311ba561a74c82471a5b78fec23bc1abb5c6e53d1eca8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:F5UO2HRAAZYBU4HP44T35NPYHR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Representation Theory of Solitons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","math.QA"],"primary_cat":"hep-th","authors_text":"Clay Cordova, Kantaro Ohmori, Nicholas Holfester","submitted_at":"2024-08-20T17:55:06Z","abstract_excerpt":"Solitons in two-dimensional quantum field theory exhibit patterns of degeneracies and associated selection rules on scattering amplitudes. We develop a representation theory that captures these intriguing features of solitons. This representation theory is based on an algebra we refer to as the \"strip algebra\", $\\textrm{Str}_{\\mathcal{C}}(\\mathcal{M})$, which is defined in terms of the non-invertible symmetry, $\\mathcal{C},$ a fusion category, and its action on boundary conditions encoded by a module category, $\\mathcal{M}$. The strip algebra is a $C^*$-weak Hopf algebra, a fact which can be e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.11045","kind":"arxiv","version":3},"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/2408.11045/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-12T01:09:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lm9ItRf796VomiZolvnWIvvRucmAQwcuaUQ1bZe9pdip7BZGAzDaDwHFi6uUMdbslQ846glboTO4Y9kiepvHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T14:48:52.438995Z"},"content_sha256":"adb63eb8cd99f0d71b1983a65803bf9b5a6880d8077d54e185bf4c8505fe5b27","schema_version":"1.0","event_id":"sha256:adb63eb8cd99f0d71b1983a65803bf9b5a6880d8077d54e185bf4c8505fe5b27"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F5UO2HRAAZYBU4HP44T35NPYHR/bundle.json","state_url":"https://pith.science/pith/F5UO2HRAAZYBU4HP44T35NPYHR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F5UO2HRAAZYBU4HP44T35NPYHR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T14:48:52Z","links":{"resolver":"https://pith.science/pith/F5UO2HRAAZYBU4HP44T35NPYHR","bundle":"https://pith.science/pith/F5UO2HRAAZYBU4HP44T35NPYHR/bundle.json","state":"https://pith.science/pith/F5UO2HRAAZYBU4HP44T35NPYHR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F5UO2HRAAZYBU4HP44T35NPYHR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:F5UO2HRAAZYBU4HP44T35NPYHR","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":"28445336d1fece207b939853f0da712120c0147c67c647520da8181b5c5ba2d6","cross_cats_sorted":["cond-mat.str-el","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-20T17:55:06Z","title_canon_sha256":"dcef9c6a418bf3fb702a4eb8e3691a36b88fa135436c4c8596fbf6afd6bfdd19"},"schema_version":"1.0","source":{"id":"2408.11045","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.11045","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"2408.11045v3","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.11045","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"F5UO2HRAAZYB","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"pith_short_16","alias_value":"F5UO2HRAAZYBU4HP","created_at":"2026-06-12T01:09:05Z"},{"alias_kind":"pith_short_8","alias_value":"F5UO2HRA","created_at":"2026-06-12T01:09:05Z"}],"graph_snapshots":[{"event_id":"sha256:adb63eb8cd99f0d71b1983a65803bf9b5a6880d8077d54e185bf4c8505fe5b27","target":"graph","created_at":"2026-06-12T01:09:05Z","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/2408.11045/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Solitons in two-dimensional quantum field theory exhibit patterns of degeneracies and associated selection rules on scattering amplitudes. We develop a representation theory that captures these intriguing features of solitons. This representation theory is based on an algebra we refer to as the \"strip algebra\", $\\textrm{Str}_{\\mathcal{C}}(\\mathcal{M})$, which is defined in terms of the non-invertible symmetry, $\\mathcal{C},$ a fusion category, and its action on boundary conditions encoded by a module category, $\\mathcal{M}$. The strip algebra is a $C^*$-weak Hopf algebra, a fact which can be e","authors_text":"Clay Cordova, Kantaro Ohmori, Nicholas Holfester","cross_cats":["cond-mat.str-el","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-20T17:55:06Z","title":"Representation Theory of Solitons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.11045","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":"sha256:84cc1d42edb3fcb4f4a311ba561a74c82471a5b78fec23bc1abb5c6e53d1eca8","target":"record","created_at":"2026-06-12T01:09:05Z","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":"28445336d1fece207b939853f0da712120c0147c67c647520da8181b5c5ba2d6","cross_cats_sorted":["cond-mat.str-el","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-20T17:55:06Z","title_canon_sha256":"dcef9c6a418bf3fb702a4eb8e3691a36b88fa135436c4c8596fbf6afd6bfdd19"},"schema_version":"1.0","source":{"id":"2408.11045","kind":"arxiv","version":3}},"canonical_sha256":"2f68ed1e2006701a70efe727beb5f83c4191101b09ffa6b4c5116c873f3d0b4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f68ed1e2006701a70efe727beb5f83c4191101b09ffa6b4c5116c873f3d0b4b","first_computed_at":"2026-06-12T01:09:05.189679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:09:05.189679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4++Glv40Yn52kS2x0UnMmIESsAjK54impb6oLVeXwVHQXXIHhxoZGdgPET4bLwoR7PdPIHZRRiIiRU2I0i0nBA==","signature_status":"signed_v1","signed_at":"2026-06-12T01:09:05.190501Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.11045","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84cc1d42edb3fcb4f4a311ba561a74c82471a5b78fec23bc1abb5c6e53d1eca8","sha256:adb63eb8cd99f0d71b1983a65803bf9b5a6880d8077d54e185bf4c8505fe5b27"],"state_sha256":"095573468d14dcf90f6bf1370fab3b80b1745429ead33b4fdb4c6b1dbe5786ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ILEGPWoNnrGf9ZIHB56Y8Y4XSwGs5jQ7rwWbk8r0++EmZU4UzFEbrISVt1awGA8KgtpiuauYiaD4DhCo5KZAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T14:48:52.441257Z","bundle_sha256":"c167eafd2aa618beb0e0b077fbc3dc8deee4e326cb989da882ab5696023872b5"}}