{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:OY2EF5RBL74E3ZZV3LD4IAXOFC","short_pith_number":"pith:OY2EF5RB","schema_version":"1.0","canonical_sha256":"763442f6215ff84de735dac7c402ee28b95dee2a95ca7c71cc06c399aa8ccea0","source":{"kind":"arxiv","id":"2505.13604","version":1},"attestation_state":"computed","paper":{"title":"String-Membrane-Nets from Higher-Form Gauging: An Alternate Route to $p$-String Condensation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Abhinav Prem, Dominic J. Williamson, Nathanan Tantivasadakarn, Pranay Gorantla","submitted_at":"2025-05-19T18:00:04Z","abstract_excerpt":"We present a new perspective on the $p$-string condensation procedure for constructing 3+1D fracton phases by implementing this process via the gauging of higher-form symmetries. Specifically, we show that gauging a 1-form symmetry in 3+1D that is generated by Abelian anyons in isotropic stacks of 2+1D topological orders naturally results in a 3+1D $p$-string condensed phase, providing a controlled non-perturbative construction that realizes fracton orders. This approach clarifies the symmetry principles underlying $p$-string condensation and generalizes the familiar connection between anyon c"},"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":"2505.13604","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-05-19T18:00:04Z","cross_cats_sorted":["hep-th","quant-ph"],"title_canon_sha256":"2f450a5b1109061064232d0ace6394b8cc58c013ac7207d2f01b8c942abdfb77","abstract_canon_sha256":"6a37ca1ae8e728dbdb6fe04c67aa6e4a8b7772456719f6c9633e18c207488729"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:09:44.392351Z","signature_b64":"lVYSZ/El4b96SSYLqEecr8JbOgDPwfV0+HiONienn9FeWCA/fCEprHJGp+Idw3BD1L2S2/GJGIjfhHf/zda0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"763442f6215ff84de735dac7c402ee28b95dee2a95ca7c71cc06c399aa8ccea0","last_reissued_at":"2026-07-05T12:09:44.391870Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:09:44.391870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"String-Membrane-Nets from Higher-Form Gauging: An Alternate Route to $p$-String Condensation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Abhinav Prem, Dominic J. Williamson, Nathanan Tantivasadakarn, Pranay Gorantla","submitted_at":"2025-05-19T18:00:04Z","abstract_excerpt":"We present a new perspective on the $p$-string condensation procedure for constructing 3+1D fracton phases by implementing this process via the gauging of higher-form symmetries. Specifically, we show that gauging a 1-form symmetry in 3+1D that is generated by Abelian anyons in isotropic stacks of 2+1D topological orders naturally results in a 3+1D $p$-string condensed phase, providing a controlled non-perturbative construction that realizes fracton orders. This approach clarifies the symmetry principles underlying $p$-string condensation and generalizes the familiar connection between anyon c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.13604","kind":"arxiv","version":1},"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/2505.13604/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":"2505.13604","created_at":"2026-07-05T12:09:44.391931+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.13604v1","created_at":"2026-07-05T12:09:44.391931+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.13604","created_at":"2026-07-05T12:09:44.391931+00:00"},{"alias_kind":"pith_short_12","alias_value":"OY2EF5RBL74E","created_at":"2026-07-05T12:09:44.391931+00:00"},{"alias_kind":"pith_short_16","alias_value":"OY2EF5RBL74E3ZZV","created_at":"2026-07-05T12:09:44.391931+00:00"},{"alias_kind":"pith_short_8","alias_value":"OY2EF5RB","created_at":"2026-07-05T12:09:44.391931+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.10069","citing_title":"Coupled-Layer Codes: Beyond Quantum Product Constructions","ref_index":34,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OY2EF5RBL74E3ZZV3LD4IAXOFC","json":"https://pith.science/pith/OY2EF5RBL74E3ZZV3LD4IAXOFC.json","graph_json":"https://pith.science/api/pith-number/OY2EF5RBL74E3ZZV3LD4IAXOFC/graph.json","events_json":"https://pith.science/api/pith-number/OY2EF5RBL74E3ZZV3LD4IAXOFC/events.json","paper":"https://pith.science/paper/OY2EF5RB"},"agent_actions":{"view_html":"https://pith.science/pith/OY2EF5RBL74E3ZZV3LD4IAXOFC","download_json":"https://pith.science/pith/OY2EF5RBL74E3ZZV3LD4IAXOFC.json","view_paper":"https://pith.science/paper/OY2EF5RB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.13604&json=true","fetch_graph":"https://pith.science/api/pith-number/OY2EF5RBL74E3ZZV3LD4IAXOFC/graph.json","fetch_events":"https://pith.science/api/pith-number/OY2EF5RBL74E3ZZV3LD4IAXOFC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OY2EF5RBL74E3ZZV3LD4IAXOFC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OY2EF5RBL74E3ZZV3LD4IAXOFC/action/storage_attestation","attest_author":"https://pith.science/pith/OY2EF5RBL74E3ZZV3LD4IAXOFC/action/author_attestation","sign_citation":"https://pith.science/pith/OY2EF5RBL74E3ZZV3LD4IAXOFC/action/citation_signature","submit_replication":"https://pith.science/pith/OY2EF5RBL74E3ZZV3LD4IAXOFC/action/replication_record"}},"created_at":"2026-07-05T12:09:44.391931+00:00","updated_at":"2026-07-05T12:09:44.391931+00:00"}