{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:IMOP67MHTM7ATBQAFUTCIQSGUS","short_pith_number":"pith:IMOP67MH","schema_version":"1.0","canonical_sha256":"431cff7d879b3e0986002d26244246a487a1c9dee2e9634e168ffc49a039d407","source":{"kind":"arxiv","id":"2410.05059","version":2},"attestation_state":"computed","paper":{"title":"Alteration of Topology in Quantum Phase Transitions via Symmetry Enrichment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fakher F. Assaad, Gabriel Rein, Marcin Raczkowski, Toshihiro Sato, Zhenjiu Wang","submitted_at":"2024-10-07T14:19:27Z","abstract_excerpt":"Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with SU($N$)$\\times$SU(2)$\\times$U(1) symmetry that have the potential to host critical points described by field theories with topological terms. For $N=2$ it shows a rich phase diagram containing semimetallic, quantum spin Hall insulating, Kekul\\'e valence bond solid and s-wave superconducting phases and features multiple Landau-Ginzburg-Wilson phase transitions driven by interaction stren"},"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":"2410.05059","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-10-07T14:19:27Z","cross_cats_sorted":[],"title_canon_sha256":"e463e55daae61401bf72d0652b3974c885a1d6b7ffb9be058e36f48c11a22211","abstract_canon_sha256":"1ae3bc1c83eac2de6084f16b6e6aa58905443bf868fef07e0fc2480135b29c21"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:36:22.669596Z","signature_b64":"7lC41qY/aJrPQelP05b1F9Hri06QN8nAs/roL8ae12/zU0d0zQc+tGtZhFgWmzVUAWBzC6aZfWHjJTDCLd+bBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"431cff7d879b3e0986002d26244246a487a1c9dee2e9634e168ffc49a039d407","last_reissued_at":"2026-07-05T11:36:22.669067Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:36:22.669067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Alteration of Topology in Quantum Phase Transitions via Symmetry Enrichment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fakher F. Assaad, Gabriel Rein, Marcin Raczkowski, Toshihiro Sato, Zhenjiu Wang","submitted_at":"2024-10-07T14:19:27Z","abstract_excerpt":"Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with SU($N$)$\\times$SU(2)$\\times$U(1) symmetry that have the potential to host critical points described by field theories with topological terms. For $N=2$ it shows a rich phase diagram containing semimetallic, quantum spin Hall insulating, Kekul\\'e valence bond solid and s-wave superconducting phases and features multiple Landau-Ginzburg-Wilson phase transitions driven by interaction stren"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.05059","kind":"arxiv","version":2},"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/2410.05059/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2410.05059","created_at":"2026-07-05T11:36:22.669124+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.05059v2","created_at":"2026-07-05T11:36:22.669124+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.05059","created_at":"2026-07-05T11:36:22.669124+00:00"},{"alias_kind":"pith_short_12","alias_value":"IMOP67MHTM7A","created_at":"2026-07-05T11:36:22.669124+00:00"},{"alias_kind":"pith_short_16","alias_value":"IMOP67MHTM7ATBQA","created_at":"2026-07-05T11:36:22.669124+00:00"},{"alias_kind":"pith_short_8","alias_value":"IMOP67MH","created_at":"2026-07-05T11:36:22.669124+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IMOP67MHTM7ATBQAFUTCIQSGUS","json":"https://pith.science/pith/IMOP67MHTM7ATBQAFUTCIQSGUS.json","graph_json":"https://pith.science/api/pith-number/IMOP67MHTM7ATBQAFUTCIQSGUS/graph.json","events_json":"https://pith.science/api/pith-number/IMOP67MHTM7ATBQAFUTCIQSGUS/events.json","paper":"https://pith.science/paper/IMOP67MH"},"agent_actions":{"view_html":"https://pith.science/pith/IMOP67MHTM7ATBQAFUTCIQSGUS","download_json":"https://pith.science/pith/IMOP67MHTM7ATBQAFUTCIQSGUS.json","view_paper":"https://pith.science/paper/IMOP67MH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.05059&json=true","fetch_graph":"https://pith.science/api/pith-number/IMOP67MHTM7ATBQAFUTCIQSGUS/graph.json","fetch_events":"https://pith.science/api/pith-number/IMOP67MHTM7ATBQAFUTCIQSGUS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IMOP67MHTM7ATBQAFUTCIQSGUS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IMOP67MHTM7ATBQAFUTCIQSGUS/action/storage_attestation","attest_author":"https://pith.science/pith/IMOP67MHTM7ATBQAFUTCIQSGUS/action/author_attestation","sign_citation":"https://pith.science/pith/IMOP67MHTM7ATBQAFUTCIQSGUS/action/citation_signature","submit_replication":"https://pith.science/pith/IMOP67MHTM7ATBQAFUTCIQSGUS/action/replication_record"}},"created_at":"2026-07-05T11:36:22.669124+00:00","updated_at":"2026-07-05T11:36:22.669124+00:00"}