{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:UGLSZJRLSVABM2DVBJCFPE24Z2","short_pith_number":"pith:UGLSZJRL","schema_version":"1.0","canonical_sha256":"a1972ca62b95401668750a4457935ccea7870812f951d452aa28e476bd28adca","source":{"kind":"arxiv","id":"2311.11066","version":2},"attestation_state":"computed","paper":{"title":"Exotic Symmetry Breaking Properties of Self-Dual Fracton Spin Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Giovanni Canossa, Hao Song, Ke Liu, Lode Pollet, Miguel A. Martin-Delgado","submitted_at":"2023-11-18T13:12:14Z","abstract_excerpt":"Fracton codes host unconventional topological states of matter and are promising for fault-tolerant quantum computation due to their large coding space and strong resilience against decoherence and noise. In this work, we investigate the ground-state properties and phase transitions of two prototypical self-dual fracton spin models -- the tetrahedral Ising model and the fractal Ising model -- which correspond to error-correction procedures for the representative fracton codes of type-I and type-II, the checkerboard code and the Haah's code, respectively, in the error-free limit. They are endow"},"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":"2311.11066","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-11-18T13:12:14Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el"],"title_canon_sha256":"be8cffe1efa8bdf06a74cb43c63f954e811c40788d589654f55305ee7795aa5a","abstract_canon_sha256":"d075f63fd33f176f235911fb8ea86768408ca779c0ecdfdcf8954b7a800afef4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:01:34.456181Z","signature_b64":"CXoT9EywkxPoATRrUuKaI78TaSlVZEiGsWk5nUXWpGeoBfnkMBxb+KjfLGJ1bBJCXW+vvkXmtczsLTBY5jEgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1972ca62b95401668750a4457935ccea7870812f951d452aa28e476bd28adca","last_reissued_at":"2026-07-05T08:01:34.455618Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:01:34.455618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exotic Symmetry Breaking Properties of Self-Dual Fracton Spin Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Giovanni Canossa, Hao Song, Ke Liu, Lode Pollet, Miguel A. Martin-Delgado","submitted_at":"2023-11-18T13:12:14Z","abstract_excerpt":"Fracton codes host unconventional topological states of matter and are promising for fault-tolerant quantum computation due to their large coding space and strong resilience against decoherence and noise. In this work, we investigate the ground-state properties and phase transitions of two prototypical self-dual fracton spin models -- the tetrahedral Ising model and the fractal Ising model -- which correspond to error-correction procedures for the representative fracton codes of type-I and type-II, the checkerboard code and the Haah's code, respectively, in the error-free limit. They are endow"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.11066","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/2311.11066/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":"2311.11066","created_at":"2026-07-05T08:01:34.455688+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.11066v2","created_at":"2026-07-05T08:01:34.455688+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.11066","created_at":"2026-07-05T08:01:34.455688+00:00"},{"alias_kind":"pith_short_12","alias_value":"UGLSZJRLSVAB","created_at":"2026-07-05T08:01:34.455688+00:00"},{"alias_kind":"pith_short_16","alias_value":"UGLSZJRLSVABM2DV","created_at":"2026-07-05T08:01:34.455688+00:00"},{"alias_kind":"pith_short_8","alias_value":"UGLSZJRL","created_at":"2026-07-05T08:01:34.455688+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.03582","citing_title":"Fracton Topological Holography","ref_index":100,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UGLSZJRLSVABM2DVBJCFPE24Z2","json":"https://pith.science/pith/UGLSZJRLSVABM2DVBJCFPE24Z2.json","graph_json":"https://pith.science/api/pith-number/UGLSZJRLSVABM2DVBJCFPE24Z2/graph.json","events_json":"https://pith.science/api/pith-number/UGLSZJRLSVABM2DVBJCFPE24Z2/events.json","paper":"https://pith.science/paper/UGLSZJRL"},"agent_actions":{"view_html":"https://pith.science/pith/UGLSZJRLSVABM2DVBJCFPE24Z2","download_json":"https://pith.science/pith/UGLSZJRLSVABM2DVBJCFPE24Z2.json","view_paper":"https://pith.science/paper/UGLSZJRL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.11066&json=true","fetch_graph":"https://pith.science/api/pith-number/UGLSZJRLSVABM2DVBJCFPE24Z2/graph.json","fetch_events":"https://pith.science/api/pith-number/UGLSZJRLSVABM2DVBJCFPE24Z2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UGLSZJRLSVABM2DVBJCFPE24Z2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UGLSZJRLSVABM2DVBJCFPE24Z2/action/storage_attestation","attest_author":"https://pith.science/pith/UGLSZJRLSVABM2DVBJCFPE24Z2/action/author_attestation","sign_citation":"https://pith.science/pith/UGLSZJRLSVABM2DVBJCFPE24Z2/action/citation_signature","submit_replication":"https://pith.science/pith/UGLSZJRLSVABM2DVBJCFPE24Z2/action/replication_record"}},"created_at":"2026-07-05T08:01:34.455688+00:00","updated_at":"2026-07-05T08:01:34.455688+00:00"}