{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2JQSWHHANFJMYSP2MLXBUIVGLD","short_pith_number":"pith:2JQSWHHA","canonical_record":{"source":{"id":"1004.2693","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-15T19:22:29Z","cross_cats_sorted":[],"title_canon_sha256":"f5097def9e98df354065fb66d9be5bdbb00dd3fed628c409688084b81e6ec0fb","abstract_canon_sha256":"46032f3dc45c91d0c357bd7022aa29cb75599f1a34067cdb6ebd49fdcb5dcada"},"schema_version":"1.0"},"canonical_sha256":"d2612b1ce06952cc49fa62ee1a22a658c35cdb0551cb32f7f0ec169bab679bf9","source":{"kind":"arxiv","id":"1004.2693","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.2693","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1004.2693v3","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2693","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"2JQSWHHANFJM","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2JQSWHHANFJMYSP2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2JQSWHHA","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2JQSWHHANFJMYSP2MLXBUIVGLD","target":"record","payload":{"canonical_record":{"source":{"id":"1004.2693","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-15T19:22:29Z","cross_cats_sorted":[],"title_canon_sha256":"f5097def9e98df354065fb66d9be5bdbb00dd3fed628c409688084b81e6ec0fb","abstract_canon_sha256":"46032f3dc45c91d0c357bd7022aa29cb75599f1a34067cdb6ebd49fdcb5dcada"},"schema_version":"1.0"},"canonical_sha256":"d2612b1ce06952cc49fa62ee1a22a658c35cdb0551cb32f7f0ec169bab679bf9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:13.927818Z","signature_b64":"R/FZnWImpxWqhAHa9u0J8gQ3XweD570M+EnYL4AAKBCVKSTf/V8M2F9HdhMTG5PL2DcxTFwypiVh0ho1TSA+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2612b1ce06952cc49fa62ee1a22a658c35cdb0551cb32f7f0ec169bab679bf9","last_reissued_at":"2026-05-18T00:42:13.927071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:13.927071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.2693","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jCm9GsgGG7HrDp1ZAzWC4A0/8QiXnfAXQ8RynPiDVc+lDdGp558ASTfIXfRCirJfM48ipXJF6bT2IPsCtMswCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:59:47.522874Z"},"content_sha256":"50769fe85832785ad16c7f5b7d34ba9dadc309202af8eec8a59059c8ec09d9ff","schema_version":"1.0","event_id":"sha256:50769fe85832785ad16c7f5b7d34ba9dadc309202af8eec8a59059c8ec09d9ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2JQSWHHANFJMYSP2MLXBUIVGLD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schwinger Boson Mean Field Theories of Spin Liquid States on Honeycomb Lattice: Projective Symmetry Group Analysis and Critical Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Fa Wang","submitted_at":"2010-04-15T19:22:29Z","abstract_excerpt":"Motivated by the recent numerical evidence[1] of a short-range resonating valence bond state in the honeycomb lattice Hubbard model, we consider Schwinger boson mean field theories of possible spin liquid states on honeycomb lattice. From general stability considerations the possible spin liquids will have gapped spinons coupled to Z$_2$ gauge field. We apply the projective symmetry group(PSG) method to classify possible Z$_2$ spin liquid states within this formalism on honeycomb lattice. It is found that there are only two relevant Z$_2$ states, differed by the value of gauge flux, zero or $\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2693","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:42:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L3X6SVfHB4RgUcldMim4qD+0gC64jGdSCuWKT3yRGlLs/iK3dlELHMcZPAn0FA6jeln9NCmJu9S/MOcwuvU7CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:59:47.523604Z"},"content_sha256":"62dafe6046b1424221b23586b79882a65c79c55892fb3e9bbc6f68687537a25c","schema_version":"1.0","event_id":"sha256:62dafe6046b1424221b23586b79882a65c79c55892fb3e9bbc6f68687537a25c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2JQSWHHANFJMYSP2MLXBUIVGLD/bundle.json","state_url":"https://pith.science/pith/2JQSWHHANFJMYSP2MLXBUIVGLD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2JQSWHHANFJMYSP2MLXBUIVGLD/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":"2026-05-25T18:59:47Z","links":{"resolver":"https://pith.science/pith/2JQSWHHANFJMYSP2MLXBUIVGLD","bundle":"https://pith.science/pith/2JQSWHHANFJMYSP2MLXBUIVGLD/bundle.json","state":"https://pith.science/pith/2JQSWHHANFJMYSP2MLXBUIVGLD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2JQSWHHANFJMYSP2MLXBUIVGLD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2JQSWHHANFJMYSP2MLXBUIVGLD","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":"46032f3dc45c91d0c357bd7022aa29cb75599f1a34067cdb6ebd49fdcb5dcada","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-15T19:22:29Z","title_canon_sha256":"f5097def9e98df354065fb66d9be5bdbb00dd3fed628c409688084b81e6ec0fb"},"schema_version":"1.0","source":{"id":"1004.2693","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.2693","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1004.2693v3","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2693","created_at":"2026-05-18T00:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"2JQSWHHANFJM","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2JQSWHHANFJMYSP2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2JQSWHHA","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:62dafe6046b1424221b23586b79882a65c79c55892fb3e9bbc6f68687537a25c","target":"graph","created_at":"2026-05-18T00:42:13Z","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"},"paper":{"abstract_excerpt":"Motivated by the recent numerical evidence[1] of a short-range resonating valence bond state in the honeycomb lattice Hubbard model, we consider Schwinger boson mean field theories of possible spin liquid states on honeycomb lattice. From general stability considerations the possible spin liquids will have gapped spinons coupled to Z$_2$ gauge field. We apply the projective symmetry group(PSG) method to classify possible Z$_2$ spin liquid states within this formalism on honeycomb lattice. It is found that there are only two relevant Z$_2$ states, differed by the value of gauge flux, zero or $\\","authors_text":"Fa Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-15T19:22:29Z","title":"Schwinger Boson Mean Field Theories of Spin Liquid States on Honeycomb Lattice: Projective Symmetry Group Analysis and Critical Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2693","kind":"arxiv","version":3},"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":"sha256:50769fe85832785ad16c7f5b7d34ba9dadc309202af8eec8a59059c8ec09d9ff","target":"record","created_at":"2026-05-18T00:42:13Z","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":"46032f3dc45c91d0c357bd7022aa29cb75599f1a34067cdb6ebd49fdcb5dcada","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-15T19:22:29Z","title_canon_sha256":"f5097def9e98df354065fb66d9be5bdbb00dd3fed628c409688084b81e6ec0fb"},"schema_version":"1.0","source":{"id":"1004.2693","kind":"arxiv","version":3}},"canonical_sha256":"d2612b1ce06952cc49fa62ee1a22a658c35cdb0551cb32f7f0ec169bab679bf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2612b1ce06952cc49fa62ee1a22a658c35cdb0551cb32f7f0ec169bab679bf9","first_computed_at":"2026-05-18T00:42:13.927071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:13.927071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R/FZnWImpxWqhAHa9u0J8gQ3XweD570M+EnYL4AAKBCVKSTf/V8M2F9HdhMTG5PL2DcxTFwypiVh0ho1TSA+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:13.927818Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.2693","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50769fe85832785ad16c7f5b7d34ba9dadc309202af8eec8a59059c8ec09d9ff","sha256:62dafe6046b1424221b23586b79882a65c79c55892fb3e9bbc6f68687537a25c"],"state_sha256":"6198f7488353bd205e22f276246b3dec910998892fbcf592122577743a8dbeab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SVY9nDk1XZfJApgOMySrEWP0xG6IfZskP/WzF7Q9CihX9/zHKCFwDALLfR3m8LmGN/MsrMPd3O5Gya8l6+5sBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:59:47.527669Z","bundle_sha256":"801740ce09a32dfd4081f853736415a7d5def912bed974396eafdad426457bfa"}}