{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ABWCSL4QOPPXQZOHF3MBJ2T7OZ","short_pith_number":"pith:ABWCSL4Q","canonical_record":{"source":{"id":"1010.5744","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-27T17:08:07Z","cross_cats_sorted":[],"title_canon_sha256":"cb2aa4789a84cc33825dfd6f4eec11b6437ed5849001ebe9d031072c99a11c61","abstract_canon_sha256":"ffaecdb343b939bbf63c9c5cafc5e0de9c6322b0815b06ac0e342bf5969cee31"},"schema_version":"1.0"},"canonical_sha256":"006c292f9073df7865c72ed814ea7f7677f354a220437adda902ce29e732e025","source":{"kind":"arxiv","id":"1010.5744","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5744","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5744v1","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5744","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"pith_short_12","alias_value":"ABWCSL4QOPPX","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"ABWCSL4QOPPXQZOH","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"ABWCSL4Q","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ABWCSL4QOPPXQZOHF3MBJ2T7OZ","target":"record","payload":{"canonical_record":{"source":{"id":"1010.5744","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-27T17:08:07Z","cross_cats_sorted":[],"title_canon_sha256":"cb2aa4789a84cc33825dfd6f4eec11b6437ed5849001ebe9d031072c99a11c61","abstract_canon_sha256":"ffaecdb343b939bbf63c9c5cafc5e0de9c6322b0815b06ac0e342bf5969cee31"},"schema_version":"1.0"},"canonical_sha256":"006c292f9073df7865c72ed814ea7f7677f354a220437adda902ce29e732e025","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:16.012115Z","signature_b64":"tgpjDeXJIHKEUl9jFbv24UDsMrAPqD8yc7zLA12ZLtfcDMeh9lcxhhK8WQ8Xtsx7hnFp4kHvj76akgPl31qjBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"006c292f9073df7865c72ed814ea7f7677f354a220437adda902ce29e732e025","last_reissued_at":"2026-05-18T04:38:16.011589Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:16.011589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.5744","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:38:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fXw4ExLvphPECO80EVF6sCphFLxIh81p8DAYRW3H53XjBOvuAJNtX29b452syE5FjjNoWWhlNKiVnJuoc0nSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:20:01.020752Z"},"content_sha256":"dba7991797b7873275152116c4f2e7e8971aca66c0d28e334720285e6bbcb6e4","schema_version":"1.0","event_id":"sha256:dba7991797b7873275152116c4f2e7e8971aca66c0d28e334720285e6bbcb6e4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ABWCSL4QOPPXQZOHF3MBJ2T7OZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase diagram of the Hubbard model on honeycomb lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Abolhassan Vaezi, Xiao-Gang Wen","submitted_at":"2010-10-27T17:08:07Z","abstract_excerpt":"In this paper we generalized the slave-particle technique to study the phase diagram of the Hubbard model on honeycomb lattice which may contain charge fluctuations. For large $U$, we have antiferromagnetic order phase. As we decrease $U$ below $U_{c2}\\simeq 3t$, the system undergoes a first order phase transition into a gapped spin rotation invariant phase. Under a semiclassical approximation of the slave-particle approach, we find that such phase breaks the translation symmetry, the parity and the lattice rotation symmetry. However, beyond the semiclassical approximation, a $Z_2$ spin liquid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5744","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:38:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0P9H5chj7Ymx0QcaB13J0qYizOEBg+4JoDhYncaLInefOU6eShXBpCCetkkfa1rhsHHqy8+tQPKoPgqtL0UbDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:20:01.021107Z"},"content_sha256":"f763baa3f1531806017a4db5e723aa4b8369fa50c750d18bc0bed28a26f83ce3","schema_version":"1.0","event_id":"sha256:f763baa3f1531806017a4db5e723aa4b8369fa50c750d18bc0bed28a26f83ce3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABWCSL4QOPPXQZOHF3MBJ2T7OZ/bundle.json","state_url":"https://pith.science/pith/ABWCSL4QOPPXQZOHF3MBJ2T7OZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABWCSL4QOPPXQZOHF3MBJ2T7OZ/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":"2026-06-12T04:20:01Z","links":{"resolver":"https://pith.science/pith/ABWCSL4QOPPXQZOHF3MBJ2T7OZ","bundle":"https://pith.science/pith/ABWCSL4QOPPXQZOHF3MBJ2T7OZ/bundle.json","state":"https://pith.science/pith/ABWCSL4QOPPXQZOHF3MBJ2T7OZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABWCSL4QOPPXQZOHF3MBJ2T7OZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ABWCSL4QOPPXQZOHF3MBJ2T7OZ","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":"ffaecdb343b939bbf63c9c5cafc5e0de9c6322b0815b06ac0e342bf5969cee31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-27T17:08:07Z","title_canon_sha256":"cb2aa4789a84cc33825dfd6f4eec11b6437ed5849001ebe9d031072c99a11c61"},"schema_version":"1.0","source":{"id":"1010.5744","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.5744","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"arxiv_version","alias_value":"1010.5744v1","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5744","created_at":"2026-05-18T04:38:16Z"},{"alias_kind":"pith_short_12","alias_value":"ABWCSL4QOPPX","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"ABWCSL4QOPPXQZOH","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"ABWCSL4Q","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:f763baa3f1531806017a4db5e723aa4b8369fa50c750d18bc0bed28a26f83ce3","target":"graph","created_at":"2026-05-18T04:38:16Z","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":"In this paper we generalized the slave-particle technique to study the phase diagram of the Hubbard model on honeycomb lattice which may contain charge fluctuations. For large $U$, we have antiferromagnetic order phase. As we decrease $U$ below $U_{c2}\\simeq 3t$, the system undergoes a first order phase transition into a gapped spin rotation invariant phase. Under a semiclassical approximation of the slave-particle approach, we find that such phase breaks the translation symmetry, the parity and the lattice rotation symmetry. However, beyond the semiclassical approximation, a $Z_2$ spin liquid","authors_text":"Abolhassan Vaezi, Xiao-Gang Wen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-27T17:08:07Z","title":"Phase diagram of the Hubbard model on honeycomb lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5744","kind":"arxiv","version":1},"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:dba7991797b7873275152116c4f2e7e8971aca66c0d28e334720285e6bbcb6e4","target":"record","created_at":"2026-05-18T04:38:16Z","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":"ffaecdb343b939bbf63c9c5cafc5e0de9c6322b0815b06ac0e342bf5969cee31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-27T17:08:07Z","title_canon_sha256":"cb2aa4789a84cc33825dfd6f4eec11b6437ed5849001ebe9d031072c99a11c61"},"schema_version":"1.0","source":{"id":"1010.5744","kind":"arxiv","version":1}},"canonical_sha256":"006c292f9073df7865c72ed814ea7f7677f354a220437adda902ce29e732e025","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"006c292f9073df7865c72ed814ea7f7677f354a220437adda902ce29e732e025","first_computed_at":"2026-05-18T04:38:16.011589Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:16.011589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tgpjDeXJIHKEUl9jFbv24UDsMrAPqD8yc7zLA12ZLtfcDMeh9lcxhhK8WQ8Xtsx7hnFp4kHvj76akgPl31qjBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:16.012115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.5744","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dba7991797b7873275152116c4f2e7e8971aca66c0d28e334720285e6bbcb6e4","sha256:f763baa3f1531806017a4db5e723aa4b8369fa50c750d18bc0bed28a26f83ce3"],"state_sha256":"842d5dc1ad276becdd2a43258c2f6c08b232ae356285d74c64778b4e6031f170"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uKwuO6le7Oc+C/KJl5o2ac1joXv98m6pC713eJg8L6g2YHifXo7VoTx1iuU/X9F3CK921xshu4fFTpAo8o+nDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T04:20:01.023095Z","bundle_sha256":"50495f9173d03f5e222c6278565e8c33100c6d0f192e577dee45305592874060"}}