{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:T22DPCACTFEQM5N3ZOFK6Z7QEW","short_pith_number":"pith:T22DPCAC","canonical_record":{"source":{"id":"2203.01335","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-02T19:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"79f026889a200f4af6aebdef4f821ec6ac17f2a04bde14cdbf0453c71e724b16","abstract_canon_sha256":"e266f2a12aa49ecc1b905aa547701758c657f86e5c91f7b72a5aa52ae2e899ad"},"schema_version":"1.0"},"canonical_sha256":"9eb437880299490675bbcb8aaf67f025a3cd902e3396a369393bd9a0bee3839b","source":{"kind":"arxiv","id":"2203.01335","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.01335","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"2203.01335v1","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.01335","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"T22DPCACTFEQ","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"pith_short_16","alias_value":"T22DPCACTFEQM5N3","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"pith_short_8","alias_value":"T22DPCAC","created_at":"2026-07-05T04:35:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:T22DPCACTFEQM5N3ZOFK6Z7QEW","target":"record","payload":{"canonical_record":{"source":{"id":"2203.01335","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-02T19:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"79f026889a200f4af6aebdef4f821ec6ac17f2a04bde14cdbf0453c71e724b16","abstract_canon_sha256":"e266f2a12aa49ecc1b905aa547701758c657f86e5c91f7b72a5aa52ae2e899ad"},"schema_version":"1.0"},"canonical_sha256":"9eb437880299490675bbcb8aaf67f025a3cd902e3396a369393bd9a0bee3839b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:35:44.493856Z","signature_b64":"9q2puS7Fkc76UzCu7682NH+dRPi5pi74REZ+CeijtcEn7IghjGDM6Eke2dJJ2tjzuopvdMTIxqQrVXGFI7YvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9eb437880299490675bbcb8aaf67f025a3cd902e3396a369393bd9a0bee3839b","last_reissued_at":"2026-07-05T04:35:44.493469Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:35:44.493469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.01335","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:35:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2spKZOyMomJ4wcgbboXRc64SImaNu2quHrYax32J6/sOWgTrGg6ZM6zc6UvB1h7fnIGwKgow3n9wYqCp3IoTAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T03:34:38.735624Z"},"content_sha256":"2284d359492688b67a7a9d381b2651c4774496d915c3be92c29a358ab1689407","schema_version":"1.0","event_id":"sha256:2284d359492688b67a7a9d381b2651c4774496d915c3be92c29a358ab1689407"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:T22DPCACTFEQM5N3ZOFK6Z7QEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quivers, Lattice Gauge Theories and Fractons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Diego Rodriguez-Gomez, Sebastian Franco","submitted_at":"2022-03-02T19:00:01Z","abstract_excerpt":"We argue that quiver gauge theories with $SU(N)$ gauge groups give rise to lattice gauge theories with matter possessing fractonic properties, where the lattice is the quiver itself. This idea extends a recent proposal by Razamat. This class of theories exhibit a $\\mathbb{Z}_N$ 1-form global symmetry that can be used to classify their phases. The order parameter of this transition is the expectation value of Wilson loops, which correspond to mesonic operators in the underlying quiver gauge theory. We discuss how this perspective naturally fits with the deconstruction of a higher dimensional th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.01335","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/2203.01335/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:35:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OBb2ZGeNQtNt7Tfhk0HIKQeQtGjANZKbX0ZUFj3qZxlO7KD0jB3QP1hhGlLkLiaRg5N1ze5ouET++ztGm60mAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T03:34:38.736173Z"},"content_sha256":"b137e61f3423ba25672dcaec0f5e341e4f3ec0c28bdad0ec6d9fc0ff37b56597","schema_version":"1.0","event_id":"sha256:b137e61f3423ba25672dcaec0f5e341e4f3ec0c28bdad0ec6d9fc0ff37b56597"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T22DPCACTFEQM5N3ZOFK6Z7QEW/bundle.json","state_url":"https://pith.science/pith/T22DPCACTFEQM5N3ZOFK6Z7QEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T22DPCACTFEQM5N3ZOFK6Z7QEW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-15T03:34:38Z","links":{"resolver":"https://pith.science/pith/T22DPCACTFEQM5N3ZOFK6Z7QEW","bundle":"https://pith.science/pith/T22DPCACTFEQM5N3ZOFK6Z7QEW/bundle.json","state":"https://pith.science/pith/T22DPCACTFEQM5N3ZOFK6Z7QEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T22DPCACTFEQM5N3ZOFK6Z7QEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:T22DPCACTFEQM5N3ZOFK6Z7QEW","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":"e266f2a12aa49ecc1b905aa547701758c657f86e5c91f7b72a5aa52ae2e899ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-02T19:00:01Z","title_canon_sha256":"79f026889a200f4af6aebdef4f821ec6ac17f2a04bde14cdbf0453c71e724b16"},"schema_version":"1.0","source":{"id":"2203.01335","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.01335","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"2203.01335v1","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.01335","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"T22DPCACTFEQ","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"pith_short_16","alias_value":"T22DPCACTFEQM5N3","created_at":"2026-07-05T04:35:44Z"},{"alias_kind":"pith_short_8","alias_value":"T22DPCAC","created_at":"2026-07-05T04:35:44Z"}],"graph_snapshots":[{"event_id":"sha256:b137e61f3423ba25672dcaec0f5e341e4f3ec0c28bdad0ec6d9fc0ff37b56597","target":"graph","created_at":"2026-07-05T04:35:44Z","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/2203.01335/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We argue that quiver gauge theories with $SU(N)$ gauge groups give rise to lattice gauge theories with matter possessing fractonic properties, where the lattice is the quiver itself. This idea extends a recent proposal by Razamat. This class of theories exhibit a $\\mathbb{Z}_N$ 1-form global symmetry that can be used to classify their phases. The order parameter of this transition is the expectation value of Wilson loops, which correspond to mesonic operators in the underlying quiver gauge theory. We discuss how this perspective naturally fits with the deconstruction of a higher dimensional th","authors_text":"Diego Rodriguez-Gomez, Sebastian Franco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-02T19:00:01Z","title":"Quivers, Lattice Gauge Theories and Fractons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.01335","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":"sha256:2284d359492688b67a7a9d381b2651c4774496d915c3be92c29a358ab1689407","target":"record","created_at":"2026-07-05T04:35:44Z","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":"e266f2a12aa49ecc1b905aa547701758c657f86e5c91f7b72a5aa52ae2e899ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-03-02T19:00:01Z","title_canon_sha256":"79f026889a200f4af6aebdef4f821ec6ac17f2a04bde14cdbf0453c71e724b16"},"schema_version":"1.0","source":{"id":"2203.01335","kind":"arxiv","version":1}},"canonical_sha256":"9eb437880299490675bbcb8aaf67f025a3cd902e3396a369393bd9a0bee3839b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9eb437880299490675bbcb8aaf67f025a3cd902e3396a369393bd9a0bee3839b","first_computed_at":"2026-07-05T04:35:44.493469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:35:44.493469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9q2puS7Fkc76UzCu7682NH+dRPi5pi74REZ+CeijtcEn7IghjGDM6Eke2dJJ2tjzuopvdMTIxqQrVXGFI7YvCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:35:44.493856Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.01335","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2284d359492688b67a7a9d381b2651c4774496d915c3be92c29a358ab1689407","sha256:b137e61f3423ba25672dcaec0f5e341e4f3ec0c28bdad0ec6d9fc0ff37b56597"],"state_sha256":"6fb4220a2a3e01a66166c228bcf205f77910776989f71a0a477cd5ce3286817e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CqiDpwqYzINcoCDjvXE4iJHf6UacABgm1jjGs1J26yw+OVNQCveZCrvswuV98WbDsopi0Z/NW7QZa7haSNZoBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T03:34:38.739632Z","bundle_sha256":"e6c9ed91413854395c6f0135aff26037cd86f2d68e575bdc0c1d2c74ca16834c"}}