{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:LTN2JJIVMXCXXCVSXYBAK7M4C4","short_pith_number":"pith:LTN2JJIV","canonical_record":{"source":{"id":"2501.19154","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-31T14:12:40Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"title_canon_sha256":"79d295e69008395939a804651261b57396a92c93bdd9acfa0816454c83c0c95e","abstract_canon_sha256":"bcaa1fd41bff5f21dbcbf969b5458ebf5ca1efa11616539c250b797ce880a343"},"schema_version":"1.0"},"canonical_sha256":"5cdba4a51565c57b8ab2be02057d9c171355347f6e3a658caeab9b8033ea47d8","source":{"kind":"arxiv","id":"2501.19154","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.19154","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"2501.19154v1","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.19154","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"LTN2JJIVMXCX","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"pith_short_16","alias_value":"LTN2JJIVMXCXXCVS","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"pith_short_8","alias_value":"LTN2JJIV","created_at":"2026-07-05T10:07:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:LTN2JJIVMXCXXCVSXYBAK7M4C4","target":"record","payload":{"canonical_record":{"source":{"id":"2501.19154","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-31T14:12:40Z","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"title_canon_sha256":"79d295e69008395939a804651261b57396a92c93bdd9acfa0816454c83c0c95e","abstract_canon_sha256":"bcaa1fd41bff5f21dbcbf969b5458ebf5ca1efa11616539c250b797ce880a343"},"schema_version":"1.0"},"canonical_sha256":"5cdba4a51565c57b8ab2be02057d9c171355347f6e3a658caeab9b8033ea47d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:07:57.084983Z","signature_b64":"kL6eo3ubcmI5WLfOHtCEcwUFKbQc9U9VfsCSnB+PKk0fk/SlONaMUrwHEZlObmL0CYGS8bLczGCF6Y68cj0IDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cdba4a51565c57b8ab2be02057d9c171355347f6e3a658caeab9b8033ea47d8","last_reissued_at":"2026-07-05T10:07:57.084459Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:07:57.084459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.19154","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":"2026-07-05T10:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8xcyGnZ0z8sZdp2pnF9UlnIRqcB8JWGJKebKaFfHU9c83cuR5tGgARuJdPRvxWruutt53etj1fNAO62P85ogBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T03:56:07.039422Z"},"content_sha256":"e94afbf12ad4ef218ca59209dcae714eb0108b5f86ac8739dd8767923504fb81","schema_version":"1.0","event_id":"sha256:e94afbf12ad4ef218ca59209dcae714eb0108b5f86ac8739dd8767923504fb81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:LTN2JJIVMXCXXCVSXYBAK7M4C4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractons from covariant higher-rank 3D BF theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Alberto Blasi, Daniel Sacco Shaikh, Erica Bertolini, Matteo Carrega, Nicola Maggiore","submitted_at":"2025-01-31T14:12:40Z","abstract_excerpt":"In this paper we study the 3D gauge theory of two tensor gauge fields: $a_{\\mu\\nu}(x)$, which we take symmetric, and $B_{\\mu\\nu}(x)$, with no symmetry on its indices. The corresponding invariant action is a higher-rank BF-like model, which is first considered from a purely field theoretical point of view, and the propagators with their poles and the degrees of freedom are studied. Once matter is introduced, a fracton behaviour naturally emerges. We show that our theory can be mapped to the low-energy effective field theory describing the Rank-2 Toric Code (R2TC). This relation between our cova"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.19154","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/2501.19154/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":"2026-07-05T10:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fgHpdiUK5pV8ZM4IRnCQOEW9YEAahd7tRcW1PYC6gSYKNVsHoNiuifHVzAqjlYGc7OcOjg6buN08JOGz7yT/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T03:56:07.039974Z"},"content_sha256":"b849e2024d281484254de8a1c868cdc60b95529a25077c1d53b7cdd7b168c1ba","schema_version":"1.0","event_id":"sha256:b849e2024d281484254de8a1c868cdc60b95529a25077c1d53b7cdd7b168c1ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LTN2JJIVMXCXXCVSXYBAK7M4C4/bundle.json","state_url":"https://pith.science/pith/LTN2JJIVMXCXXCVSXYBAK7M4C4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LTN2JJIVMXCXXCVSXYBAK7M4C4/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":"2026-08-15T03:56:07Z","links":{"resolver":"https://pith.science/pith/LTN2JJIVMXCXXCVSXYBAK7M4C4","bundle":"https://pith.science/pith/LTN2JJIVMXCXXCVSXYBAK7M4C4/bundle.json","state":"https://pith.science/pith/LTN2JJIVMXCXXCVSXYBAK7M4C4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LTN2JJIVMXCXXCVSXYBAK7M4C4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:LTN2JJIVMXCXXCVSXYBAK7M4C4","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":"bcaa1fd41bff5f21dbcbf969b5458ebf5ca1efa11616539c250b797ce880a343","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-31T14:12:40Z","title_canon_sha256":"79d295e69008395939a804651261b57396a92c93bdd9acfa0816454c83c0c95e"},"schema_version":"1.0","source":{"id":"2501.19154","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.19154","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"2501.19154v1","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.19154","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"LTN2JJIVMXCX","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"pith_short_16","alias_value":"LTN2JJIVMXCXXCVS","created_at":"2026-07-05T10:07:57Z"},{"alias_kind":"pith_short_8","alias_value":"LTN2JJIV","created_at":"2026-07-05T10:07:57Z"}],"graph_snapshots":[{"event_id":"sha256:b849e2024d281484254de8a1c868cdc60b95529a25077c1d53b7cdd7b168c1ba","target":"graph","created_at":"2026-07-05T10:07:57Z","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/2501.19154/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we study the 3D gauge theory of two tensor gauge fields: $a_{\\mu\\nu}(x)$, which we take symmetric, and $B_{\\mu\\nu}(x)$, with no symmetry on its indices. The corresponding invariant action is a higher-rank BF-like model, which is first considered from a purely field theoretical point of view, and the propagators with their poles and the degrees of freedom are studied. Once matter is introduced, a fracton behaviour naturally emerges. We show that our theory can be mapped to the low-energy effective field theory describing the Rank-2 Toric Code (R2TC). This relation between our cova","authors_text":"Alberto Blasi, Daniel Sacco Shaikh, Erica Bertolini, Matteo Carrega, Nicola Maggiore","cross_cats":["cond-mat.mes-hall","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-31T14:12:40Z","title":"Fractons from covariant higher-rank 3D BF theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.19154","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:e94afbf12ad4ef218ca59209dcae714eb0108b5f86ac8739dd8767923504fb81","target":"record","created_at":"2026-07-05T10:07:57Z","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":"bcaa1fd41bff5f21dbcbf969b5458ebf5ca1efa11616539c250b797ce880a343","cross_cats_sorted":["cond-mat.mes-hall","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-01-31T14:12:40Z","title_canon_sha256":"79d295e69008395939a804651261b57396a92c93bdd9acfa0816454c83c0c95e"},"schema_version":"1.0","source":{"id":"2501.19154","kind":"arxiv","version":1}},"canonical_sha256":"5cdba4a51565c57b8ab2be02057d9c171355347f6e3a658caeab9b8033ea47d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cdba4a51565c57b8ab2be02057d9c171355347f6e3a658caeab9b8033ea47d8","first_computed_at":"2026-07-05T10:07:57.084459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:07:57.084459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kL6eo3ubcmI5WLfOHtCEcwUFKbQc9U9VfsCSnB+PKk0fk/SlONaMUrwHEZlObmL0CYGS8bLczGCF6Y68cj0IDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:07:57.084983Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.19154","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e94afbf12ad4ef218ca59209dcae714eb0108b5f86ac8739dd8767923504fb81","sha256:b849e2024d281484254de8a1c868cdc60b95529a25077c1d53b7cdd7b168c1ba"],"state_sha256":"10cf91d7aee5082d93f1c2a383c6c65afa5259c23d234edd330f3220d402ba13"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hxAGYyOWWADBYLofBhV1U+q38BczaEl6B/S76MnXRINleUDzIyJU/oA4Y+8SYrCxnBFggFAcOdEeVg3Vv6J+Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T03:56:07.044369Z","bundle_sha256":"cde1be8cb16c62e146c1bb94a1a8685ee2be79aca2d71e0c669624fa017c8e66"}}