{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:UIN34OHRNBBC2ZVNT7AZ2IUF7L","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":"0790b355707698f690c689279a96096d5f2122f42f864085374e18db62d757b9","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-08-15T17:55:43Z","title_canon_sha256":"f5f60ad61fb176f61d9d9cb91445c56df6c953f03c39e51cb425ff95c93bffca"},"schema_version":"1.0","source":{"id":"2208.07361","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.07361","created_at":"2026-07-05T04:48:31Z"},{"alias_kind":"arxiv_version","alias_value":"2208.07361v1","created_at":"2026-07-05T04:48:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.07361","created_at":"2026-07-05T04:48:31Z"},{"alias_kind":"pith_short_12","alias_value":"UIN34OHRNBBC","created_at":"2026-07-05T04:48:31Z"},{"alias_kind":"pith_short_16","alias_value":"UIN34OHRNBBC2ZVN","created_at":"2026-07-05T04:48:31Z"},{"alias_kind":"pith_short_8","alias_value":"UIN34OHR","created_at":"2026-07-05T04:48:31Z"}],"graph_snapshots":[{"event_id":"sha256:8e74a434262a3d95902932a22341784e435ba8881a6ae5b1a2bc70997741ec45","target":"graph","created_at":"2026-07-05T04:48:31Z","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/2208.07361/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a higher gauge topological model in three spatial dimensions whose input datum is a 2-group encoding the mixing of a 0-form $\\mathbb Z_2$- and 1-form $\\mathbb Z_3$-symmetry. We study the excitation content of the theory on the symmetry-preserving boundary. We show that boundary operators are organised into the fusion 2-category of 2-representations of the 2-group. These can be interpreted as categorical charges for an effective boundary model that inherits a global 2-group symmetry from the bulk topological order. Interestingly, we find that certain simple 2-representations are phy","authors_text":"Clement Delcamp","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-08-15T17:55:43Z","title":"A toy model for categorical charges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.07361","kind":"arxiv","version":1},"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":"sha256:8c3d18f39c4c684d3207ad63276c3843187de702f3b4e70f079e9bd8c67d39ff","target":"record","created_at":"2026-07-05T04:48:31Z","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":"0790b355707698f690c689279a96096d5f2122f42f864085374e18db62d757b9","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-08-15T17:55:43Z","title_canon_sha256":"f5f60ad61fb176f61d9d9cb91445c56df6c953f03c39e51cb425ff95c93bffca"},"schema_version":"1.0","source":{"id":"2208.07361","kind":"arxiv","version":1}},"canonical_sha256":"a21bbe38f168422d66ad9fc19d2285fae9319e52c4fad07659749a5c542ffd49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a21bbe38f168422d66ad9fc19d2285fae9319e52c4fad07659749a5c542ffd49","first_computed_at":"2026-07-05T04:48:31.785402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:48:31.785402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uoj1l+j+Rp6oAl0S727DG2AO9diVBTB6+jYkvc99KP5JNUJGEDCjpXsAB6F2728wr3qiqGxFqaQOLJB/T3jIBg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:48:31.785886Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.07361","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c3d18f39c4c684d3207ad63276c3843187de702f3b4e70f079e9bd8c67d39ff","sha256:8e74a434262a3d95902932a22341784e435ba8881a6ae5b1a2bc70997741ec45"],"state_sha256":"06e4d233c8b2f597ee0f6b7bb06438fcea30dd2aea1b891828d01f2c2dbd0ec9"}