{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:XPSAZLC6FETVXXFCQDLCET55N7","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":"c0c1cbdcf14d846aeae173f36beb25a2de23515c090ccf71721c529cd7fc6300","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-14T18:11:14Z","title_canon_sha256":"1173027dc4796f73399cec7487ed7a9cc5086a0d0e7b55c4c8fa88604922c4b9"},"schema_version":"1.0","source":{"id":"2508.11003","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.11003","created_at":"2026-05-29T01:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"2508.11003v2","created_at":"2026-05-29T01:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.11003","created_at":"2026-05-29T01:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"XPSAZLC6FETV","created_at":"2026-05-29T01:04:55Z"},{"alias_kind":"pith_short_16","alias_value":"XPSAZLC6FETVXXFC","created_at":"2026-05-29T01:04:55Z"},{"alias_kind":"pith_short_8","alias_value":"XPSAZLC6","created_at":"2026-05-29T01:04:55Z"}],"graph_snapshots":[{"event_id":"sha256:cd8c9fec1d2f88f9afe6785e34868d0e56fafd8da8440d783831c92df241a33b","target":"graph","created_at":"2026-05-29T01:04:55Z","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/2508.11003/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent developments have revealed that symmetries need not form a group, but instead can be non-invertible. Here we use analytical arguments and numerical evidence to illuminate how spontaneous symmetry breaking of a non-invertible symmetry is similar yet distinct from ordinary, invertible, symmetry breaking. We consider one-dimensional chains of group-valued qudits, whose local Hilbert space is spanned by elements of a finite group $G$ (reducing to ordinary qubits when $G=\\mathbb{Z}_2$). We construct Ising-type transverse-field Hamiltonians with Rep($G$) symmetry whose generators multiply acc","authors_text":"Andriy H. Nevidomskyy, Kristian Tyn Kai Chung, Sergej Moroz, Umberto Borla","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-14T18:11:14Z","title":"Spontaneously Broken Non-Invertible Symmetries in Transverse-Field Ising Qudit Chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.11003","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":"sha256:41cc95a47b3e842e38eb8b8de35ca7b6004bb7c99dd875b7a38cf1c3f1da8d3a","target":"record","created_at":"2026-05-29T01:04:55Z","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":"c0c1cbdcf14d846aeae173f36beb25a2de23515c090ccf71721c529cd7fc6300","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-14T18:11:14Z","title_canon_sha256":"1173027dc4796f73399cec7487ed7a9cc5086a0d0e7b55c4c8fa88604922c4b9"},"schema_version":"1.0","source":{"id":"2508.11003","kind":"arxiv","version":2}},"canonical_sha256":"bbe40cac5e29275bdca280d6224fbd6fef4c99447dd23c7d4b1866883a4ce5e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbe40cac5e29275bdca280d6224fbd6fef4c99447dd23c7d4b1866883a4ce5e1","first_computed_at":"2026-05-29T01:04:55.096714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T01:04:55.096714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KICUPC5BJ+wMtCgl76VLL6GWxKXwlKXGteksrbOizzcatt+g9uqmD48ZHT8Dsf4u4NN2r9B2rGVN0ZNaICJBCw==","signature_status":"signed_v1","signed_at":"2026-05-29T01:04:55.097140Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.11003","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41cc95a47b3e842e38eb8b8de35ca7b6004bb7c99dd875b7a38cf1c3f1da8d3a","sha256:cd8c9fec1d2f88f9afe6785e34868d0e56fafd8da8440d783831c92df241a33b"],"state_sha256":"906e2835e82ad2f4858ae34898d36ad90c39d9fd79f54e3466e3060bcf21869d"}