{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EW3WLIUTSDKCTYA7NHUANZ5DRU","short_pith_number":"pith:EW3WLIUT","canonical_record":{"source":{"id":"1107.5440","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-27T11:08:11Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"title_canon_sha256":"fca1d00975c9e38610574a10402a7a8a23430d071f16960ce997d3a38b119d52","abstract_canon_sha256":"cc10e6ff5321973381899cabadd9bbb672a677cdbb6b1cd2b5d01af2b243d42a"},"schema_version":"1.0"},"canonical_sha256":"25b765a29390d429e01f69e806e7a38d379584217db27d1bfc27cb0a300177cd","source":{"kind":"arxiv","id":"1107.5440","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5440","created_at":"2026-05-18T04:08:14Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5440v2","created_at":"2026-05-18T04:08:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5440","created_at":"2026-05-18T04:08:14Z"},{"alias_kind":"pith_short_12","alias_value":"EW3WLIUTSDKC","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EW3WLIUTSDKCTYA7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EW3WLIUT","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EW3WLIUTSDKCTYA7NHUANZ5DRU","target":"record","payload":{"canonical_record":{"source":{"id":"1107.5440","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-27T11:08:11Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"title_canon_sha256":"fca1d00975c9e38610574a10402a7a8a23430d071f16960ce997d3a38b119d52","abstract_canon_sha256":"cc10e6ff5321973381899cabadd9bbb672a677cdbb6b1cd2b5d01af2b243d42a"},"schema_version":"1.0"},"canonical_sha256":"25b765a29390d429e01f69e806e7a38d379584217db27d1bfc27cb0a300177cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:14.442438Z","signature_b64":"v0wW/oEjqAAi0PJ+mjFjFMpaYLbjKWdJnhv1cePYU8vGovqMmkazipuWUK+BQz28r8F2Y3EHskYpknNO+k/cDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25b765a29390d429e01f69e806e7a38d379584217db27d1bfc27cb0a300177cd","last_reissued_at":"2026-05-18T04:08:14.441932Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:14.441932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.5440","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":"2026-05-18T04:08:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eZlUuyqWeA5hZKNDoFoFTzreQgvd7zM8kuwVyhPqQQC90FHYN6wKiFbpDQtdmuNrNNjFhpbRaRFEF1yTek8NBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:34:07.441449Z"},"content_sha256":"6e83a14a991a94b51dbbe7f8fd158dfbfe98a3147c39db1d11c63ae9493674ce","schema_version":"1.0","event_id":"sha256:6e83a14a991a94b51dbbe7f8fd158dfbfe98a3147c39db1d11c63ae9493674ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EW3WLIUTSDKCTYA7NHUANZ5DRU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cubic and non-cubic multiple-q states in the Heisenberg antiferromagnet on the pyrochlore lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hikaru Kawamura, Trung Hai Nguyen, Tsuyoshi Okubo","submitted_at":"2011-07-27T11:08:11Z","abstract_excerpt":"The ordering of the classical Heisenberg model on the pyrochlore lattice with the antiferromagnetic nearest-neighbor interaction J1 and the ferromagnetic next-nearest-neighbour interaction J2 is investigated by means of a mean-field analysis and a Monte Carlo simulation. For a moderate J2/J1-value, the model exhibits a first-order transition into an incommensurate multiple-q ordered state where multiple Bragg peaks coexist in the spin structure factor. We show that there are two types of metastable multiple-q states, a cubic symmetric sextuple-q state and a non-cubic symmetric quadruple-q stat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5440","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":"2026-05-18T04:08:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZDu/uMidRW6nJzpAL/EAkKK7KdZApckwd05eFEI0dAtGtrJDQYDLq5TUkPWC0VR+3TfLn5wwi/CgDXD2QjRRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:34:07.441806Z"},"content_sha256":"11abf0ebca62853ce7776c086065954a8f08cd52c805c132559ee1bf5cbb08a9","schema_version":"1.0","event_id":"sha256:11abf0ebca62853ce7776c086065954a8f08cd52c805c132559ee1bf5cbb08a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EW3WLIUTSDKCTYA7NHUANZ5DRU/bundle.json","state_url":"https://pith.science/pith/EW3WLIUTSDKCTYA7NHUANZ5DRU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EW3WLIUTSDKCTYA7NHUANZ5DRU/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":"2026-06-03T16:34:07Z","links":{"resolver":"https://pith.science/pith/EW3WLIUTSDKCTYA7NHUANZ5DRU","bundle":"https://pith.science/pith/EW3WLIUTSDKCTYA7NHUANZ5DRU/bundle.json","state":"https://pith.science/pith/EW3WLIUTSDKCTYA7NHUANZ5DRU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EW3WLIUTSDKCTYA7NHUANZ5DRU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EW3WLIUTSDKCTYA7NHUANZ5DRU","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":"cc10e6ff5321973381899cabadd9bbb672a677cdbb6b1cd2b5d01af2b243d42a","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-27T11:08:11Z","title_canon_sha256":"fca1d00975c9e38610574a10402a7a8a23430d071f16960ce997d3a38b119d52"},"schema_version":"1.0","source":{"id":"1107.5440","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5440","created_at":"2026-05-18T04:08:14Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5440v2","created_at":"2026-05-18T04:08:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5440","created_at":"2026-05-18T04:08:14Z"},{"alias_kind":"pith_short_12","alias_value":"EW3WLIUTSDKC","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EW3WLIUTSDKCTYA7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EW3WLIUT","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:11abf0ebca62853ce7776c086065954a8f08cd52c805c132559ee1bf5cbb08a9","target":"graph","created_at":"2026-05-18T04:08:14Z","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 ordering of the classical Heisenberg model on the pyrochlore lattice with the antiferromagnetic nearest-neighbor interaction J1 and the ferromagnetic next-nearest-neighbour interaction J2 is investigated by means of a mean-field analysis and a Monte Carlo simulation. For a moderate J2/J1-value, the model exhibits a first-order transition into an incommensurate multiple-q ordered state where multiple Bragg peaks coexist in the spin structure factor. We show that there are two types of metastable multiple-q states, a cubic symmetric sextuple-q state and a non-cubic symmetric quadruple-q stat","authors_text":"Hikaru Kawamura, Trung Hai Nguyen, Tsuyoshi Okubo","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-27T11:08:11Z","title":"Cubic and non-cubic multiple-q states in the Heisenberg antiferromagnet on the pyrochlore lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5440","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":"sha256:6e83a14a991a94b51dbbe7f8fd158dfbfe98a3147c39db1d11c63ae9493674ce","target":"record","created_at":"2026-05-18T04:08:14Z","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":"cc10e6ff5321973381899cabadd9bbb672a677cdbb6b1cd2b5d01af2b243d42a","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-27T11:08:11Z","title_canon_sha256":"fca1d00975c9e38610574a10402a7a8a23430d071f16960ce997d3a38b119d52"},"schema_version":"1.0","source":{"id":"1107.5440","kind":"arxiv","version":2}},"canonical_sha256":"25b765a29390d429e01f69e806e7a38d379584217db27d1bfc27cb0a300177cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25b765a29390d429e01f69e806e7a38d379584217db27d1bfc27cb0a300177cd","first_computed_at":"2026-05-18T04:08:14.441932Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:14.441932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v0wW/oEjqAAi0PJ+mjFjFMpaYLbjKWdJnhv1cePYU8vGovqMmkazipuWUK+BQz28r8F2Y3EHskYpknNO+k/cDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:14.442438Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5440","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e83a14a991a94b51dbbe7f8fd158dfbfe98a3147c39db1d11c63ae9493674ce","sha256:11abf0ebca62853ce7776c086065954a8f08cd52c805c132559ee1bf5cbb08a9"],"state_sha256":"982db9020c829ef1cd64e670594587ecca437f2742093c4d179e2327d0c108d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X/oRuMz0mSN0UFWh/HjQYF8/IFzUG9siWGUGTW3DMoWzaT/5J+Yq8rDTLKAKMO7LdCrJrL9/1PT6M884G46cCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:34:07.443869Z","bundle_sha256":"f9eaa3cfce10cea6ea3068e3ad73aa8f385eb0de65edc9347cea51f16e87e1a0"}}