{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:XPSAZLC6FETVXXFCQDLCET55N7","short_pith_number":"pith:XPSAZLC6","schema_version":"1.0","canonical_sha256":"bbe40cac5e29275bdca280d6224fbd6fef4c99447dd23c7d4b1866883a4ce5e1","source":{"kind":"arxiv","id":"2508.11003","version":2},"attestation_state":"computed","paper":{"title":"Spontaneously Broken Non-Invertible Symmetries in Transverse-Field Ising Qudit Chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Andriy H. Nevidomskyy, Kristian Tyn Kai Chung, Sergej Moroz, Umberto Borla","submitted_at":"2025-08-14T18:11:14Z","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"},"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":"2508.11003","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-08-14T18:11:14Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"1173027dc4796f73399cec7487ed7a9cc5086a0d0e7b55c4c8fa88604922c4b9","abstract_canon_sha256":"c0c1cbdcf14d846aeae173f36beb25a2de23515c090ccf71721c529cd7fc6300"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T01:04:55.097140Z","signature_b64":"KICUPC5BJ+wMtCgl76VLL6GWxKXwlKXGteksrbOizzcatt+g9uqmD48ZHT8Dsf4u4NN2r9B2rGVN0ZNaICJBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbe40cac5e29275bdca280d6224fbd6fef4c99447dd23c7d4b1866883a4ce5e1","last_reissued_at":"2026-05-29T01:04:55.096714Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T01:04:55.096714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spontaneously Broken Non-Invertible Symmetries in Transverse-Field Ising Qudit Chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Andriy H. Nevidomskyy, Kristian Tyn Kai Chung, Sergej Moroz, Umberto Borla","submitted_at":"2025-08-14T18:11:14Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.11003","kind":"arxiv","version":2},"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/2508.11003/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":"2508.11003","created_at":"2026-05-29T01:04:55.096770+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.11003v2","created_at":"2026-05-29T01:04:55.096770+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.11003","created_at":"2026-05-29T01:04:55.096770+00:00"},{"alias_kind":"pith_short_12","alias_value":"XPSAZLC6FETV","created_at":"2026-05-29T01:04:55.096770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XPSAZLC6FETVXXFC","created_at":"2026-05-29T01:04:55.096770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XPSAZLC6","created_at":"2026-05-29T01:04:55.096770+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2605.21591","citing_title":"Algebraic locality and non-invertible Gauss laws","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering","ref_index":188,"is_internal_anchor":true},{"citing_arxiv_id":"2511.11059","citing_title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","ref_index":197,"is_internal_anchor":true},{"citing_arxiv_id":"2604.10128","citing_title":"A Framework for Predicting Entanglement Spectra of Gapless Symmetry-Protected Topological States in One Dimension","ref_index":70,"is_internal_anchor":true},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering","ref_index":185,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XPSAZLC6FETVXXFCQDLCET55N7","json":"https://pith.science/pith/XPSAZLC6FETVXXFCQDLCET55N7.json","graph_json":"https://pith.science/api/pith-number/XPSAZLC6FETVXXFCQDLCET55N7/graph.json","events_json":"https://pith.science/api/pith-number/XPSAZLC6FETVXXFCQDLCET55N7/events.json","paper":"https://pith.science/paper/XPSAZLC6"},"agent_actions":{"view_html":"https://pith.science/pith/XPSAZLC6FETVXXFCQDLCET55N7","download_json":"https://pith.science/pith/XPSAZLC6FETVXXFCQDLCET55N7.json","view_paper":"https://pith.science/paper/XPSAZLC6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.11003&json=true","fetch_graph":"https://pith.science/api/pith-number/XPSAZLC6FETVXXFCQDLCET55N7/graph.json","fetch_events":"https://pith.science/api/pith-number/XPSAZLC6FETVXXFCQDLCET55N7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XPSAZLC6FETVXXFCQDLCET55N7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XPSAZLC6FETVXXFCQDLCET55N7/action/storage_attestation","attest_author":"https://pith.science/pith/XPSAZLC6FETVXXFCQDLCET55N7/action/author_attestation","sign_citation":"https://pith.science/pith/XPSAZLC6FETVXXFCQDLCET55N7/action/citation_signature","submit_replication":"https://pith.science/pith/XPSAZLC6FETVXXFCQDLCET55N7/action/replication_record"}},"created_at":"2026-05-29T01:04:55.096770+00:00","updated_at":"2026-05-29T01:04:55.096770+00:00"}