{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:KOF655QBGJMGW24ULJKVGEHEI2","short_pith_number":"pith:KOF655QB","schema_version":"1.0","canonical_sha256":"538beef60132586b6b945a555310e446845ee2f083573b7543ca57feb2c5f6e5","source":{"kind":"arxiv","id":"cond-mat/0608129","version":2},"attestation_state":"computed","paper":{"title":"Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Ashvin Vishwanath, Fa Wang","submitted_at":"2006-08-04T20:02:34Z","abstract_excerpt":"A symmetry based analysis (Projective Symmetry Group) is used to study spin liquid phases on the triangular and Kagom\\'e lattices in the Schwinger boson framework. A maximum of eight distinct $Z_2$ spin liquid states are found for each lattice, which preserve all symmetries. Out of these only a few have nonvanishing nearest neighbor amplitudes which are studied in greater detail. On the triangular lattice, only two such states are present - the first (zero-flux state) is the well known state introduced by Sachdev, which on condensation of spinons leads to the 120 degree ordered state. The othe"},"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":"cond-mat/0608129","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2006-08-04T20:02:34Z","cross_cats_sorted":[],"title_canon_sha256":"f3a384bae99f4ad0a47ecf2cb56d0146a5fc28be72b773380f13d71f0b5dfea2","abstract_canon_sha256":"c001b53f5371cdc3ab98221f2fe2a76162caa994df8a39bbfc492d696a4fc61d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:55:52.230941Z","signature_b64":"DFo22UP6YpYqhcdpW87057KFoqNMSmOanIGnKm7czqjRUL4im6SB7w8HVsoYh4wnrjyw9zLAuI4tIOZgnrwoBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"538beef60132586b6b945a555310e446845ee2f083573b7543ca57feb2c5f6e5","last_reissued_at":"2026-07-04T14:55:52.230473Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:55:52.230473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Ashvin Vishwanath, Fa Wang","submitted_at":"2006-08-04T20:02:34Z","abstract_excerpt":"A symmetry based analysis (Projective Symmetry Group) is used to study spin liquid phases on the triangular and Kagom\\'e lattices in the Schwinger boson framework. A maximum of eight distinct $Z_2$ spin liquid states are found for each lattice, which preserve all symmetries. Out of these only a few have nonvanishing nearest neighbor amplitudes which are studied in greater detail. On the triangular lattice, only two such states are present - the first (zero-flux state) is the well known state introduced by Sachdev, which on condensation of spinons leads to the 120 degree ordered state. The othe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0608129","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/cond-mat/0608129/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":"cond-mat/0608129","created_at":"2026-07-04T14:55:52.230525+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0608129v2","created_at":"2026-07-04T14:55:52.230525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0608129","created_at":"2026-07-04T14:55:52.230525+00:00"},{"alias_kind":"pith_short_12","alias_value":"KOF655QBGJMG","created_at":"2026-07-04T14:55:52.230525+00:00"},{"alias_kind":"pith_short_16","alias_value":"KOF655QBGJMGW24U","created_at":"2026-07-04T14:55:52.230525+00:00"},{"alias_kind":"pith_short_8","alias_value":"KOF655QB","created_at":"2026-07-04T14:55:52.230525+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/KOF655QBGJMGW24ULJKVGEHEI2","json":"https://pith.science/pith/KOF655QBGJMGW24ULJKVGEHEI2.json","graph_json":"https://pith.science/api/pith-number/KOF655QBGJMGW24ULJKVGEHEI2/graph.json","events_json":"https://pith.science/api/pith-number/KOF655QBGJMGW24ULJKVGEHEI2/events.json","paper":"https://pith.science/paper/KOF655QB"},"agent_actions":{"view_html":"https://pith.science/pith/KOF655QBGJMGW24ULJKVGEHEI2","download_json":"https://pith.science/pith/KOF655QBGJMGW24ULJKVGEHEI2.json","view_paper":"https://pith.science/paper/KOF655QB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0608129&json=true","fetch_graph":"https://pith.science/api/pith-number/KOF655QBGJMGW24ULJKVGEHEI2/graph.json","fetch_events":"https://pith.science/api/pith-number/KOF655QBGJMGW24ULJKVGEHEI2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KOF655QBGJMGW24ULJKVGEHEI2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KOF655QBGJMGW24ULJKVGEHEI2/action/storage_attestation","attest_author":"https://pith.science/pith/KOF655QBGJMGW24ULJKVGEHEI2/action/author_attestation","sign_citation":"https://pith.science/pith/KOF655QBGJMGW24ULJKVGEHEI2/action/citation_signature","submit_replication":"https://pith.science/pith/KOF655QBGJMGW24ULJKVGEHEI2/action/replication_record"}},"created_at":"2026-07-04T14:55:52.230525+00:00","updated_at":"2026-07-04T14:55:52.230525+00:00"}