{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:SVA7MCO2ZBJLO6MWY3ENK2KVRW","short_pith_number":"pith:SVA7MCO2","schema_version":"1.0","canonical_sha256":"9541f609dac852b77996c6c8d569558d95b552689216589a3f38d2b8c6a6bb52","source":{"kind":"arxiv","id":"1810.00012","version":3},"attestation_state":"computed","paper":{"title":"Braiding and Gapped Boundaries in Fracton Topological Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Daniel Bulmash, Thomas Iadecola","submitted_at":"2018-09-28T18:00:02Z","abstract_excerpt":"We study gapped boundaries of Abelian type-I fracton systems in three spatial dimensions. Using the X-cube model as our motivating example, we give a conjecture, with partial proof, of the conditions for a boundary to be gapped. In order to state our conjecture, we use a precise definition of fracton braiding and show that bulk braiding of fractons has several features that make it \\textit{insufficient} to classify gapped boundaries. Most notable among these is that bulk braiding is sensitive to geometry and is \"nonreciprocal,\" that is, braiding an excitation $a$ around $b$ need not yield the "},"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":"1810.00012","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-09-28T18:00:02Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"d227583b9f025ca906335e3d8e7bc7e3b495f78875367c7825b82d2c4a3ca7f0","abstract_canon_sha256":"ab9b592ce869130af996a31c90332eb3f2549c56e5f2fefa253240551250444c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:42.580341Z","signature_b64":"YX0c5Sz0KoY8iLAcLYy3lLINIB6MbntHk3p/PG4qsXRwNLpjUXf+EbzW6QZ3rnKXCnTKpVqrKusgT9wrc0KJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9541f609dac852b77996c6c8d569558d95b552689216589a3f38d2b8c6a6bb52","last_reissued_at":"2026-05-17T23:50:42.579985Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:42.579985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Braiding and Gapped Boundaries in Fracton Topological Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Daniel Bulmash, Thomas Iadecola","submitted_at":"2018-09-28T18:00:02Z","abstract_excerpt":"We study gapped boundaries of Abelian type-I fracton systems in three spatial dimensions. Using the X-cube model as our motivating example, we give a conjecture, with partial proof, of the conditions for a boundary to be gapped. In order to state our conjecture, we use a precise definition of fracton braiding and show that bulk braiding of fractons has several features that make it \\textit{insufficient} to classify gapped boundaries. Most notable among these is that bulk braiding is sensitive to geometry and is \"nonreciprocal,\" that is, braiding an excitation $a$ around $b$ need not yield the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00012","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1810.00012","created_at":"2026-05-17T23:50:42.580041+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.00012v3","created_at":"2026-05-17T23:50:42.580041+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00012","created_at":"2026-05-17T23:50:42.580041+00:00"},{"alias_kind":"pith_short_12","alias_value":"SVA7MCO2ZBJL","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"SVA7MCO2ZBJLO6MW","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"SVA7MCO2","created_at":"2026-05-18T12:32:53.628368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SVA7MCO2ZBJLO6MWY3ENK2KVRW","json":"https://pith.science/pith/SVA7MCO2ZBJLO6MWY3ENK2KVRW.json","graph_json":"https://pith.science/api/pith-number/SVA7MCO2ZBJLO6MWY3ENK2KVRW/graph.json","events_json":"https://pith.science/api/pith-number/SVA7MCO2ZBJLO6MWY3ENK2KVRW/events.json","paper":"https://pith.science/paper/SVA7MCO2"},"agent_actions":{"view_html":"https://pith.science/pith/SVA7MCO2ZBJLO6MWY3ENK2KVRW","download_json":"https://pith.science/pith/SVA7MCO2ZBJLO6MWY3ENK2KVRW.json","view_paper":"https://pith.science/paper/SVA7MCO2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.00012&json=true","fetch_graph":"https://pith.science/api/pith-number/SVA7MCO2ZBJLO6MWY3ENK2KVRW/graph.json","fetch_events":"https://pith.science/api/pith-number/SVA7MCO2ZBJLO6MWY3ENK2KVRW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SVA7MCO2ZBJLO6MWY3ENK2KVRW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SVA7MCO2ZBJLO6MWY3ENK2KVRW/action/storage_attestation","attest_author":"https://pith.science/pith/SVA7MCO2ZBJLO6MWY3ENK2KVRW/action/author_attestation","sign_citation":"https://pith.science/pith/SVA7MCO2ZBJLO6MWY3ENK2KVRW/action/citation_signature","submit_replication":"https://pith.science/pith/SVA7MCO2ZBJLO6MWY3ENK2KVRW/action/replication_record"}},"created_at":"2026-05-17T23:50:42.580041+00:00","updated_at":"2026-05-17T23:50:42.580041+00:00"}