{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:YNRCL76V7FWRZ3OYMZ2GDH2NRX","short_pith_number":"pith:YNRCL76V","schema_version":"1.0","canonical_sha256":"c36225ffd5f96d1cedd86674619f4d8df3a2fb14a000838bd73e89d88b46a193","source":{"kind":"arxiv","id":"2010.02254","version":2},"attestation_state":"computed","paper":{"title":"Fracton phases via exotic higher-form symmetry-breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Leo Radzihovsky, Marvin Qi, Michael Hermele","submitted_at":"2020-10-05T18:08:10Z","abstract_excerpt":"We study p-string condensation mechanisms for fracton phases from the viewpoint of higher-form symmetry, focusing on the examples of the X-cube model and the rank-two symmetric-tensor U(1) scalar charge theory. This work is motivated by questions of the relationship between fracton phases and continuum quantum field theories, and also provides general principles to describe p-string condensation independent of specific lattice model constructions. We give a perspective on higher-form symmetry in lattice models in terms of cellular homology. Applying this perspective to the coupled-layer constr"},"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":"2010.02254","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-10-05T18:08:10Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"189d57a37b1a30f9c9250f08eaf9d17b2db148a6b08dce0a43d11fa6678ef8c2","abstract_canon_sha256":"2185172aa46b22a604e70f6b1c2a24be533af8dd5647e90e5c224953aff2f548"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:04:12.009122Z","signature_b64":"xuSp2waKtTvZz9D0bqD8Xue9V7ZIFfprMk42uts5plJjkbDtXbyy2TZtzIu7CQZwhDC44wkHeg3awjBvDZ6gBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c36225ffd5f96d1cedd86674619f4d8df3a2fb14a000838bd73e89d88b46a193","last_reissued_at":"2026-07-05T02:04:12.008680Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:04:12.008680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fracton phases via exotic higher-form symmetry-breaking","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Leo Radzihovsky, Marvin Qi, Michael Hermele","submitted_at":"2020-10-05T18:08:10Z","abstract_excerpt":"We study p-string condensation mechanisms for fracton phases from the viewpoint of higher-form symmetry, focusing on the examples of the X-cube model and the rank-two symmetric-tensor U(1) scalar charge theory. This work is motivated by questions of the relationship between fracton phases and continuum quantum field theories, and also provides general principles to describe p-string condensation independent of specific lattice model constructions. We give a perspective on higher-form symmetry in lattice models in terms of cellular homology. Applying this perspective to the coupled-layer constr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.02254","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/2010.02254/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":"2010.02254","created_at":"2026-07-05T02:04:12.008739+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.02254v2","created_at":"2026-07-05T02:04:12.008739+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.02254","created_at":"2026-07-05T02:04:12.008739+00:00"},{"alias_kind":"pith_short_12","alias_value":"YNRCL76V7FWR","created_at":"2026-07-05T02:04:12.008739+00:00"},{"alias_kind":"pith_short_16","alias_value":"YNRCL76V7FWRZ3OY","created_at":"2026-07-05T02:04:12.008739+00:00"},{"alias_kind":"pith_short_8","alias_value":"YNRCL76V","created_at":"2026-07-05T02:04:12.008739+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2205.09545","citing_title":"Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond","ref_index":139,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06307","citing_title":"Lattice chiral symmetry from bosons in 3+1d","ref_index":109,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YNRCL76V7FWRZ3OYMZ2GDH2NRX","json":"https://pith.science/pith/YNRCL76V7FWRZ3OYMZ2GDH2NRX.json","graph_json":"https://pith.science/api/pith-number/YNRCL76V7FWRZ3OYMZ2GDH2NRX/graph.json","events_json":"https://pith.science/api/pith-number/YNRCL76V7FWRZ3OYMZ2GDH2NRX/events.json","paper":"https://pith.science/paper/YNRCL76V"},"agent_actions":{"view_html":"https://pith.science/pith/YNRCL76V7FWRZ3OYMZ2GDH2NRX","download_json":"https://pith.science/pith/YNRCL76V7FWRZ3OYMZ2GDH2NRX.json","view_paper":"https://pith.science/paper/YNRCL76V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.02254&json=true","fetch_graph":"https://pith.science/api/pith-number/YNRCL76V7FWRZ3OYMZ2GDH2NRX/graph.json","fetch_events":"https://pith.science/api/pith-number/YNRCL76V7FWRZ3OYMZ2GDH2NRX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YNRCL76V7FWRZ3OYMZ2GDH2NRX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YNRCL76V7FWRZ3OYMZ2GDH2NRX/action/storage_attestation","attest_author":"https://pith.science/pith/YNRCL76V7FWRZ3OYMZ2GDH2NRX/action/author_attestation","sign_citation":"https://pith.science/pith/YNRCL76V7FWRZ3OYMZ2GDH2NRX/action/citation_signature","submit_replication":"https://pith.science/pith/YNRCL76V7FWRZ3OYMZ2GDH2NRX/action/replication_record"}},"created_at":"2026-07-05T02:04:12.008739+00:00","updated_at":"2026-07-05T02:04:12.008739+00:00"}