{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:6SG6DR3JDXNURAP5PPOE3VZC35","short_pith_number":"pith:6SG6DR3J","canonical_record":{"source":{"id":"1005.5626","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-05-31T08:57:55Z","cross_cats_sorted":[],"title_canon_sha256":"40a948ce2409ffb4ba1e74485ffee4438180eafa672b521098b942bfe1ffdc51","abstract_canon_sha256":"e545ea4c8bbae2dcf0803a16d6fc1d378bfdf54ca2cb8ebf70d03d9b67c73380"},"schema_version":"1.0"},"canonical_sha256":"f48de1c7691ddb4881fd7bdc4dd722df7f2278debff78bd4a429a6d1e6841cbf","source":{"kind":"arxiv","id":"1005.5626","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5626","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5626v2","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5626","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"pith_short_12","alias_value":"6SG6DR3JDXNU","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6SG6DR3JDXNURAP5","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6SG6DR3J","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:6SG6DR3JDXNURAP5PPOE3VZC35","target":"record","payload":{"canonical_record":{"source":{"id":"1005.5626","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-05-31T08:57:55Z","cross_cats_sorted":[],"title_canon_sha256":"40a948ce2409ffb4ba1e74485ffee4438180eafa672b521098b942bfe1ffdc51","abstract_canon_sha256":"e545ea4c8bbae2dcf0803a16d6fc1d378bfdf54ca2cb8ebf70d03d9b67c73380"},"schema_version":"1.0"},"canonical_sha256":"f48de1c7691ddb4881fd7bdc4dd722df7f2278debff78bd4a429a6d1e6841cbf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:56.863790Z","signature_b64":"xEsxVZHO13K5zajxifnwprjYKctKmT6kkAA7O5JgUg7oHsizeaBam0FJZKhImOha2t86l8ws59a3u6ickmKiAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f48de1c7691ddb4881fd7bdc4dd722df7f2278debff78bd4a429a6d1e6841cbf","last_reissued_at":"2026-05-18T04:27:56.863077Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:56.863077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.5626","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:27:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"19YHYFKGTYKQKWY3lBlu8LDdK1OqXcW0/BXG9PtAeKX/VE9UjtpcLx+9zfIswSDNK8pZocb5JWKpAIDq4NLwBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:47:37.760961Z"},"content_sha256":"7ee338e2b7567cb6f272f2395ecbbe0a73940023330d58271ea7c35a065daa84","schema_version":"1.0","event_id":"sha256:7ee338e2b7567cb6f272f2395ecbbe0a73940023330d58271ea7c35a065daa84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:6SG6DR3JDXNURAP5PPOE3VZC35","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermionic theory for quantum antiferromagnets with spin S > 1/2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Tai-Kai Ng, Yi Zhou, Zheng-Xin Liu","submitted_at":"2010-05-31T08:57:55Z","abstract_excerpt":"The fermion representation for S = 1/2 spins is generalized to spins with arbitrary magnitudes. The symmetry properties of the representation is analyzed where we find that the particle-hole symmetry in the spinon Hilbert space of S =1/2 fermion representation is absent for S > 1/2. As a result, different path integral representations and mean field theories can be formulated for spin models. In particular, we construct a Lagrangian with restored particle-hole symmetry, and apply the corresponding mean field theory to one dimensional (1D) S = 1 and S = 3/2 antiferromagnetic Heisenberg models, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5626","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":""},"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":"2026-05-18T04:27:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cVzf0ws4Un3bym4SIhoPZS9vgrkyJEdZcivhnR2qSql0mDWzZm0K7XwvSjyvMV4b/XomY88MV+QKxlTseK2TAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:47:37.761311Z"},"content_sha256":"21e997bb5666e631a25eb244b986ca54058d81bdddc07aee8527fa6a3ba135a8","schema_version":"1.0","event_id":"sha256:21e997bb5666e631a25eb244b986ca54058d81bdddc07aee8527fa6a3ba135a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6SG6DR3JDXNURAP5PPOE3VZC35/bundle.json","state_url":"https://pith.science/pith/6SG6DR3JDXNURAP5PPOE3VZC35/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6SG6DR3JDXNURAP5PPOE3VZC35/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":"2026-06-03T05:47:37Z","links":{"resolver":"https://pith.science/pith/6SG6DR3JDXNURAP5PPOE3VZC35","bundle":"https://pith.science/pith/6SG6DR3JDXNURAP5PPOE3VZC35/bundle.json","state":"https://pith.science/pith/6SG6DR3JDXNURAP5PPOE3VZC35/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6SG6DR3JDXNURAP5PPOE3VZC35/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6SG6DR3JDXNURAP5PPOE3VZC35","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":"e545ea4c8bbae2dcf0803a16d6fc1d378bfdf54ca2cb8ebf70d03d9b67c73380","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-05-31T08:57:55Z","title_canon_sha256":"40a948ce2409ffb4ba1e74485ffee4438180eafa672b521098b942bfe1ffdc51"},"schema_version":"1.0","source":{"id":"1005.5626","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5626","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5626v2","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5626","created_at":"2026-05-18T04:27:56Z"},{"alias_kind":"pith_short_12","alias_value":"6SG6DR3JDXNU","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6SG6DR3JDXNURAP5","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6SG6DR3J","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:21e997bb5666e631a25eb244b986ca54058d81bdddc07aee8527fa6a3ba135a8","target":"graph","created_at":"2026-05-18T04:27:56Z","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":"The fermion representation for S = 1/2 spins is generalized to spins with arbitrary magnitudes. The symmetry properties of the representation is analyzed where we find that the particle-hole symmetry in the spinon Hilbert space of S =1/2 fermion representation is absent for S > 1/2. As a result, different path integral representations and mean field theories can be formulated for spin models. In particular, we construct a Lagrangian with restored particle-hole symmetry, and apply the corresponding mean field theory to one dimensional (1D) S = 1 and S = 3/2 antiferromagnetic Heisenberg models, ","authors_text":"Tai-Kai Ng, Yi Zhou, Zheng-Xin Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-05-31T08:57:55Z","title":"Fermionic theory for quantum antiferromagnets with spin S > 1/2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5626","kind":"arxiv","version":2},"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":"sha256:7ee338e2b7567cb6f272f2395ecbbe0a73940023330d58271ea7c35a065daa84","target":"record","created_at":"2026-05-18T04:27:56Z","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":"e545ea4c8bbae2dcf0803a16d6fc1d378bfdf54ca2cb8ebf70d03d9b67c73380","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-05-31T08:57:55Z","title_canon_sha256":"40a948ce2409ffb4ba1e74485ffee4438180eafa672b521098b942bfe1ffdc51"},"schema_version":"1.0","source":{"id":"1005.5626","kind":"arxiv","version":2}},"canonical_sha256":"f48de1c7691ddb4881fd7bdc4dd722df7f2278debff78bd4a429a6d1e6841cbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f48de1c7691ddb4881fd7bdc4dd722df7f2278debff78bd4a429a6d1e6841cbf","first_computed_at":"2026-05-18T04:27:56.863077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:56.863077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xEsxVZHO13K5zajxifnwprjYKctKmT6kkAA7O5JgUg7oHsizeaBam0FJZKhImOha2t86l8ws59a3u6ickmKiAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:56.863790Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.5626","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ee338e2b7567cb6f272f2395ecbbe0a73940023330d58271ea7c35a065daa84","sha256:21e997bb5666e631a25eb244b986ca54058d81bdddc07aee8527fa6a3ba135a8"],"state_sha256":"34510d022ead26bbac1e3505071ffdadb93289cc09dc5c8d9e6805d436ea2dc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K/xoPXTwZCncpVp8CMBfXwPB05JvESRwxPINFil9qdW3yYURExxOFenSuyt4SBIcqZED5IGarCse2/12hWf/Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:47:37.763508Z","bundle_sha256":"2cdfc8fe80bc05f039cf2ab1a7e9aef42c30e43885b5254c5508922ad5c5b9ff"}}