{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OY2EF5RBL74E3ZZV3LD4IAXOFC","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":"6a37ca1ae8e728dbdb6fe04c67aa6e4a8b7772456719f6c9633e18c207488729","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-05-19T18:00:04Z","title_canon_sha256":"2f450a5b1109061064232d0ace6394b8cc58c013ac7207d2f01b8c942abdfb77"},"schema_version":"1.0","source":{"id":"2505.13604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.13604","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"2505.13604v1","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.13604","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"OY2EF5RBL74E","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_16","alias_value":"OY2EF5RBL74E3ZZV","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_8","alias_value":"OY2EF5RB","created_at":"2026-07-05T12:09:44Z"}],"graph_snapshots":[{"event_id":"sha256:6a687c6f08097d1ed526eb247aad4113d929e54d75ff3cf8303ad556e4a93dbb","target":"graph","created_at":"2026-07-05T12:09:44Z","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/2505.13604/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Abhinav Prem, Dominic J. Williamson, Nathanan Tantivasadakarn, Pranay Gorantla","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-05-19T18:00:04Z","title":"String-Membrane-Nets from Higher-Form Gauging: An Alternate Route to $p$-String Condensation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.13604","kind":"arxiv","version":1},"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:d4b32348e7b1f0a38fc2f72c9080daf0dd21ba239a8b4f8e8a7920ab013a6a64","target":"record","created_at":"2026-07-05T12:09:44Z","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":"6a37ca1ae8e728dbdb6fe04c67aa6e4a8b7772456719f6c9633e18c207488729","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-05-19T18:00:04Z","title_canon_sha256":"2f450a5b1109061064232d0ace6394b8cc58c013ac7207d2f01b8c942abdfb77"},"schema_version":"1.0","source":{"id":"2505.13604","kind":"arxiv","version":1}},"canonical_sha256":"763442f6215ff84de735dac7c402ee28b95dee2a95ca7c71cc06c399aa8ccea0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"763442f6215ff84de735dac7c402ee28b95dee2a95ca7c71cc06c399aa8ccea0","first_computed_at":"2026-07-05T12:09:44.391870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:09:44.391870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lVYSZ/El4b96SSYLqEecr8JbOgDPwfV0+HiONienn9FeWCA/fCEprHJGp+Idw3BD1L2S2/GJGIjfhHf/zda0Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:09:44.392351Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.13604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4b32348e7b1f0a38fc2f72c9080daf0dd21ba239a8b4f8e8a7920ab013a6a64","sha256:6a687c6f08097d1ed526eb247aad4113d929e54d75ff3cf8303ad556e4a93dbb"],"state_sha256":"caca89a1f5763c327f3be136ce47b01bc3b7b64cbec14f8874be121f027de622"}