{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:N4WHYLVDBRMM5SLPFRVYJNH5PR","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":"6bae6b70f3dd54864220dca15971d5cbfa2b11ae577268b1d53e77120b823882","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-02-27T10:38:40Z","title_canon_sha256":"717237521b4b0e24db2670e1d37732f87f189dd6168d5532e32669e5dd9b253c"},"schema_version":"1.0","source":{"id":"2002.12026","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.12026","created_at":"2026-07-05T01:31:25Z"},{"alias_kind":"arxiv_version","alias_value":"2002.12026v2","created_at":"2026-07-05T01:31:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.12026","created_at":"2026-07-05T01:31:25Z"},{"alias_kind":"pith_short_12","alias_value":"N4WHYLVDBRMM","created_at":"2026-07-05T01:31:25Z"},{"alias_kind":"pith_short_16","alias_value":"N4WHYLVDBRMM5SLP","created_at":"2026-07-05T01:31:25Z"},{"alias_kind":"pith_short_8","alias_value":"N4WHYLVD","created_at":"2026-07-05T01:31:25Z"}],"graph_snapshots":[{"event_id":"sha256:c8d7609ba08ea95c409ee97180b58b3634999cc6e864cb1b6c88491941cecbef","target":"graph","created_at":"2026-07-05T01:31:25Z","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/2002.12026/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider fermionic systems in which fermion parity is conserved within rigid subsystems, and describe an explicit procedure for gauging such subsystem fermion parity symmetries to obtain bosonic spin Hamiltonians. We show that gauging planar or fractal subsystem fermion parity symmetry in three spatial dimensions gives rise to a plethora of exactly solvable spin models exhibiting novel gapped fractonic orders characterized by emergent fermionic gauge theory. The low energy excitations of these models include fractional quasiparticles with constrained mobility and emergent fermionic statisti","authors_text":"Wilbur Shirley","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-02-27T10:38:40Z","title":"Fractonic order and emergent fermionic gauge theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.12026","kind":"arxiv","version":2},"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":"sha256:71072fb26c42ebb492753db278ea15d1fed300673ae09b99d4348163766df3d3","target":"record","created_at":"2026-07-05T01:31:25Z","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":"6bae6b70f3dd54864220dca15971d5cbfa2b11ae577268b1d53e77120b823882","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2020-02-27T10:38:40Z","title_canon_sha256":"717237521b4b0e24db2670e1d37732f87f189dd6168d5532e32669e5dd9b253c"},"schema_version":"1.0","source":{"id":"2002.12026","kind":"arxiv","version":2}},"canonical_sha256":"6f2c7c2ea30c58cec96f2c6b84b4fd7c79e7357b8c3debf87e5727923f1f66ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f2c7c2ea30c58cec96f2c6b84b4fd7c79e7357b8c3debf87e5727923f1f66ef","first_computed_at":"2026-07-05T01:31:25.464790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:31:25.464790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GM/Y1QMb3uSK8MuDgAf0j4CaA0RWvE3MrRi2H9hDCrs/Q9Ep9+eaFV2LJIY2jTAmqwzRghmSIHaj+ZQ4RPEJCA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:31:25.465183Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.12026","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71072fb26c42ebb492753db278ea15d1fed300673ae09b99d4348163766df3d3","sha256:c8d7609ba08ea95c409ee97180b58b3634999cc6e864cb1b6c88491941cecbef"],"state_sha256":"1c9db2d8a49fcb8cf4a058239453158b49b29288047adf9df66eec35177990ce"}