{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:UO4WRXMTEGCZXGIUADUTZOUERA","short_pith_number":"pith:UO4WRXMT","schema_version":"1.0","canonical_sha256":"a3b968dd9321859b991400e93cba848833369fae1d5c95f8d32f2775f89ee7a6","source":{"kind":"arxiv","id":"1301.7746","version":1},"attestation_state":"computed","paper":{"title":"Phases and phase transitions in disordered quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.dis-nn","authors_text":"Thomas Vojta","submitted_at":"2013-01-31T20:46:12Z","abstract_excerpt":"These lecture notes give a pedagogical introduction to phase transitions in disordered quantum systems and to the exotic Griffiths phases induced in their vicinity. We first review some fundamental concepts in the physics of phase transitions. We then derive criteria governing under what conditions spatial disorder or randomness can change the properties of a phase transition. After introducing the strong-disorder renormalization group method, we discuss in detail some of the exotic phenomena arising at phase transitions in disordered quantum systems. These include infinite-randomness critical"},"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":"1301.7746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-01-31T20:46:12Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"e585657ef226d31f0827ddf56f3720572dc060c64244e788c747dc2351d9d16d","abstract_canon_sha256":"07af6d245e00471c629f672fe71bf03e659705bbe8283f9fb12c69d3faeb294c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:56.513434Z","signature_b64":"XGxPtnFY9QWAMN4onK/tU4Q8u5ZFs8I02yjbOiqCiva0mRDBi+QJodFREZRAn6zsOE6YEKFTQRK8e51Ron2MBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3b968dd9321859b991400e93cba848833369fae1d5c95f8d32f2775f89ee7a6","last_reissued_at":"2026-05-18T01:51:56.512635Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:56.512635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phases and phase transitions in disordered quantum systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.dis-nn","authors_text":"Thomas Vojta","submitted_at":"2013-01-31T20:46:12Z","abstract_excerpt":"These lecture notes give a pedagogical introduction to phase transitions in disordered quantum systems and to the exotic Griffiths phases induced in their vicinity. We first review some fundamental concepts in the physics of phase transitions. We then derive criteria governing under what conditions spatial disorder or randomness can change the properties of a phase transition. After introducing the strong-disorder renormalization group method, we discuss in detail some of the exotic phenomena arising at phase transitions in disordered quantum systems. These include infinite-randomness critical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.7746","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":""},"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":"1301.7746","created_at":"2026-05-18T01:51:56.512768+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.7746v1","created_at":"2026-05-18T01:51:56.512768+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.7746","created_at":"2026-05-18T01:51:56.512768+00:00"},{"alias_kind":"pith_short_12","alias_value":"UO4WRXMTEGCZ","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"UO4WRXMTEGCZXGIU","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"UO4WRXMT","created_at":"2026-05-18T12:28:02.375192+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2502.12233","citing_title":"Quantum Critical Dynamics Induced by Topological Zero Modes","ref_index":30,"is_internal_anchor":true},{"citing_arxiv_id":"2503.13600","citing_title":"Critical spin fluctuations across the superconducting dome in La$_{2-x}$Sr$_{x}$CuO$_4$","ref_index":66,"is_internal_anchor":true},{"citing_arxiv_id":"2508.20164","citing_title":"Fractionalized Fermi liquids and the cuprate phase diagram","ref_index":264,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UO4WRXMTEGCZXGIUADUTZOUERA","json":"https://pith.science/pith/UO4WRXMTEGCZXGIUADUTZOUERA.json","graph_json":"https://pith.science/api/pith-number/UO4WRXMTEGCZXGIUADUTZOUERA/graph.json","events_json":"https://pith.science/api/pith-number/UO4WRXMTEGCZXGIUADUTZOUERA/events.json","paper":"https://pith.science/paper/UO4WRXMT"},"agent_actions":{"view_html":"https://pith.science/pith/UO4WRXMTEGCZXGIUADUTZOUERA","download_json":"https://pith.science/pith/UO4WRXMTEGCZXGIUADUTZOUERA.json","view_paper":"https://pith.science/paper/UO4WRXMT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.7746&json=true","fetch_graph":"https://pith.science/api/pith-number/UO4WRXMTEGCZXGIUADUTZOUERA/graph.json","fetch_events":"https://pith.science/api/pith-number/UO4WRXMTEGCZXGIUADUTZOUERA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UO4WRXMTEGCZXGIUADUTZOUERA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UO4WRXMTEGCZXGIUADUTZOUERA/action/storage_attestation","attest_author":"https://pith.science/pith/UO4WRXMTEGCZXGIUADUTZOUERA/action/author_attestation","sign_citation":"https://pith.science/pith/UO4WRXMTEGCZXGIUADUTZOUERA/action/citation_signature","submit_replication":"https://pith.science/pith/UO4WRXMTEGCZXGIUADUTZOUERA/action/replication_record"}},"created_at":"2026-05-18T01:51:56.512768+00:00","updated_at":"2026-05-18T01:51:56.512768+00:00"}