{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:32ZWWFKBYWXYYA64MA2BYBMWRK","short_pith_number":"pith:32ZWWFKB","canonical_record":{"source":{"id":"2105.05851","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-05-12T18:00:00Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"791a9be39d9ca596e5f854b73f58f5c20a457df7ae37eae4f4f6db273063a214","abstract_canon_sha256":"8aedef14e232c8717bce9cd2a5203f74cfecf0b5d82ecf62eaf9b21e493e1c60"},"schema_version":"1.0"},"canonical_sha256":"deb36b1541c5af8c03dc60341c05968a9c1da5571589457ebf6e1c5f402d5ab5","source":{"kind":"arxiv","id":"2105.05851","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.05851","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"arxiv_version","alias_value":"2105.05851v1","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.05851","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"pith_short_12","alias_value":"32ZWWFKBYWXY","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"pith_short_16","alias_value":"32ZWWFKBYWXYYA64","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"pith_short_8","alias_value":"32ZWWFKB","created_at":"2026-07-05T02:40:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:32ZWWFKBYWXYYA64MA2BYBMWRK","target":"record","payload":{"canonical_record":{"source":{"id":"2105.05851","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-05-12T18:00:00Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"791a9be39d9ca596e5f854b73f58f5c20a457df7ae37eae4f4f6db273063a214","abstract_canon_sha256":"8aedef14e232c8717bce9cd2a5203f74cfecf0b5d82ecf62eaf9b21e493e1c60"},"schema_version":"1.0"},"canonical_sha256":"deb36b1541c5af8c03dc60341c05968a9c1da5571589457ebf6e1c5f402d5ab5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:40:01.448989Z","signature_b64":"5LFre07dpoLBlevWAoxRgH8D56dl9+uHN7lBkiQEQtirHJGwKsp+h5PvOIdONn6x1ykHodBx13VTUNMCmYLYDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"deb36b1541c5af8c03dc60341c05968a9c1da5571589457ebf6e1c5f402d5ab5","last_reissued_at":"2026-07-05T02:40:01.448499Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:40:01.448499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.05851","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":"2026-07-05T02:40:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xrxryALmGx45kAECKiTtr/774md99GARQRVUdn1zcqKlP5KDmLAZ1za3wScRn6Bzhrsw7THAPWGQJn88KIenDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:12:25.058852Z"},"content_sha256":"3b68bf252fef20a0b2015d561ff072a6915b9dcd0f4bee602d1848e0e3371717","schema_version":"1.0","event_id":"sha256:3b68bf252fef20a0b2015d561ff072a6915b9dcd0f4bee602d1848e0e3371717"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:32ZWWFKBYWXYYA64MA2BYBMWRK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractal Quantum Phase Transitions: Critical Phenomena Beyond Renormalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Frank Pollmann, Xue-Feng Zhang, Yizhi You, Zheng Zhou","submitted_at":"2021-05-12T18:00:00Z","abstract_excerpt":"We identify a quantum critical point with fractal symmetry whose effective theory eludes the renormalization group framework. We consider the Newman-Moore model with three-body interaction subjected to an external transverse field, which exhibits a Kramers-Wannier type self-duality and a fractal $Z_2$ symmetry with Ising charge conserved on a fractal subset of sites, i.e., on Sierpinski gaskets. Using large-scale quantum Monte Carlo simulations, we identify a continuous quantum phase transition between a phase with spontaneous fractal symmetry breaking and a paramagnetic phase. This phase tran"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.05851","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/2105.05851/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":"2026-07-05T02:40:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fBvjh3OhiruZlBIMfFUc+gk+IU6RFqxjojwTJ8CGXk15MRzdSnn79TAoYrhzYLulmLnoSoglBXbZ3Y1aIzJBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:12:25.059378Z"},"content_sha256":"90d05f958b52b98c6bbd3c135207f5506318e2f504686e616b31a7f564507f7a","schema_version":"1.0","event_id":"sha256:90d05f958b52b98c6bbd3c135207f5506318e2f504686e616b31a7f564507f7a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/32ZWWFKBYWXYYA64MA2BYBMWRK/bundle.json","state_url":"https://pith.science/pith/32ZWWFKBYWXYYA64MA2BYBMWRK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/32ZWWFKBYWXYYA64MA2BYBMWRK/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":"2026-08-08T05:12:25Z","links":{"resolver":"https://pith.science/pith/32ZWWFKBYWXYYA64MA2BYBMWRK","bundle":"https://pith.science/pith/32ZWWFKBYWXYYA64MA2BYBMWRK/bundle.json","state":"https://pith.science/pith/32ZWWFKBYWXYYA64MA2BYBMWRK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/32ZWWFKBYWXYYA64MA2BYBMWRK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:32ZWWFKBYWXYYA64MA2BYBMWRK","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":"8aedef14e232c8717bce9cd2a5203f74cfecf0b5d82ecf62eaf9b21e493e1c60","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-05-12T18:00:00Z","title_canon_sha256":"791a9be39d9ca596e5f854b73f58f5c20a457df7ae37eae4f4f6db273063a214"},"schema_version":"1.0","source":{"id":"2105.05851","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.05851","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"arxiv_version","alias_value":"2105.05851v1","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.05851","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"pith_short_12","alias_value":"32ZWWFKBYWXY","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"pith_short_16","alias_value":"32ZWWFKBYWXYYA64","created_at":"2026-07-05T02:40:01Z"},{"alias_kind":"pith_short_8","alias_value":"32ZWWFKB","created_at":"2026-07-05T02:40:01Z"}],"graph_snapshots":[{"event_id":"sha256:90d05f958b52b98c6bbd3c135207f5506318e2f504686e616b31a7f564507f7a","target":"graph","created_at":"2026-07-05T02:40:01Z","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/2105.05851/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We identify a quantum critical point with fractal symmetry whose effective theory eludes the renormalization group framework. We consider the Newman-Moore model with three-body interaction subjected to an external transverse field, which exhibits a Kramers-Wannier type self-duality and a fractal $Z_2$ symmetry with Ising charge conserved on a fractal subset of sites, i.e., on Sierpinski gaskets. Using large-scale quantum Monte Carlo simulations, we identify a continuous quantum phase transition between a phase with spontaneous fractal symmetry breaking and a paramagnetic phase. This phase tran","authors_text":"Frank Pollmann, Xue-Feng Zhang, Yizhi You, Zheng Zhou","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-05-12T18:00:00Z","title":"Fractal Quantum Phase Transitions: Critical Phenomena Beyond Renormalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.05851","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":"sha256:3b68bf252fef20a0b2015d561ff072a6915b9dcd0f4bee602d1848e0e3371717","target":"record","created_at":"2026-07-05T02:40:01Z","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":"8aedef14e232c8717bce9cd2a5203f74cfecf0b5d82ecf62eaf9b21e493e1c60","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-05-12T18:00:00Z","title_canon_sha256":"791a9be39d9ca596e5f854b73f58f5c20a457df7ae37eae4f4f6db273063a214"},"schema_version":"1.0","source":{"id":"2105.05851","kind":"arxiv","version":1}},"canonical_sha256":"deb36b1541c5af8c03dc60341c05968a9c1da5571589457ebf6e1c5f402d5ab5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"deb36b1541c5af8c03dc60341c05968a9c1da5571589457ebf6e1c5f402d5ab5","first_computed_at":"2026-07-05T02:40:01.448499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:40:01.448499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5LFre07dpoLBlevWAoxRgH8D56dl9+uHN7lBkiQEQtirHJGwKsp+h5PvOIdONn6x1ykHodBx13VTUNMCmYLYDw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:40:01.448989Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.05851","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b68bf252fef20a0b2015d561ff072a6915b9dcd0f4bee602d1848e0e3371717","sha256:90d05f958b52b98c6bbd3c135207f5506318e2f504686e616b31a7f564507f7a"],"state_sha256":"1295ad936747c7e8794ed85e6d1424ab7d0aa431bed7a8226b735f62207734ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/7EpIO/tg59QGnb1ISwePEXWteHuzbCbrLeSmMY3T+PPIr3OuBbjnMbq5q0xAFe1msD0Cllc1Z9U3jQ2QAV0Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T05:12:25.063357Z","bundle_sha256":"daaa5a38f2e6686f838f9c6bae836a352c475608221d63d69364d22898a094c5"}}