{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:7ISZ6ZBSNFE225FP7OFP7NDY27","short_pith_number":"pith:7ISZ6ZBS","canonical_record":{"source":{"id":"cond-mat/0409526","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-09-21T00:11:45Z","cross_cats_sorted":[],"title_canon_sha256":"4e8ac11e49bea0fc3d167c5066c0a770df7d416149d8afb9b173409d352d33c2","abstract_canon_sha256":"04a62220b005024054d0303bb35910ae8b322f5018ac2dcdc3652e45ba9d763d"},"schema_version":"1.0"},"canonical_sha256":"fa259f64326949ad74affb8affb478d7f52b09b3558384025cfef7b09515d696","source":{"kind":"arxiv","id":"cond-mat/0409526","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0409526","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0409526v1","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0409526","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"pith_short_12","alias_value":"7ISZ6ZBSNFE2","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"7ISZ6ZBSNFE225FP","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"7ISZ6ZBS","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:7ISZ6ZBSNFE225FP7OFP7NDY27","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0409526","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-09-21T00:11:45Z","cross_cats_sorted":[],"title_canon_sha256":"4e8ac11e49bea0fc3d167c5066c0a770df7d416149d8afb9b173409d352d33c2","abstract_canon_sha256":"04a62220b005024054d0303bb35910ae8b322f5018ac2dcdc3652e45ba9d763d"},"schema_version":"1.0"},"canonical_sha256":"fa259f64326949ad74affb8affb478d7f52b09b3558384025cfef7b09515d696","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:57.692277Z","signature_b64":"TEY4tWf+Xr3xEzdNyfkCE8Lr+XMc4hQk14VVKXA2ntX5YGxDWr7mzElCFmlXG4XCLAvKE7DJP7Mi1XDrxBrjAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa259f64326949ad74affb8affb478d7f52b09b3558384025cfef7b09515d696","last_reissued_at":"2026-05-18T01:39:57.691752Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:57.691752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0409526","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":"2026-05-18T01:39:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AyM9TMMJ+CoqKSQoeckqfP5ip1c70GOMKGYHp0cTuAzZ7v3KZyHxVdd53L8IjzHX/4l9xYMqlAfNKYfcVCUrBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:51:03.053836Z"},"content_sha256":"42c11179077e1c53c765a32ad92f47b80d05a88b2f64cb98fe91065c0e17ad29","schema_version":"1.0","event_id":"sha256:42c11179077e1c53c765a32ad92f47b80d05a88b2f64cb98fe91065c0e17ad29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:7ISZ6ZBSNFE225FP7OFP7NDY27","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin Frustration and Orbital Order in Vanadium Spinels","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Hirokazu Tsunetsugu, Yukitoshi Motome","submitted_at":"2004-09-21T00:11:45Z","abstract_excerpt":"We present the results of our theoretical study on the effects of geometrical frustration and the interplay between spin and orbital degrees of freedom in vanadium spinel oxides $A$V$_2$O$_4$ ($A$ = Zn, Mg or Cd). Introducing an effective spin-orbital-lattice coupled model in the strong correlation limit and performing Monte Carlo simulation for the model, we propose a reduced spin Hamiltonian in the orbital ordered phase to capture the stabilization mechanism of the antiferromagnetic order. Orbital order drastically reduces spin frustration by introducing spatial anisotropy in the spin exchan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0409526","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":"2026-05-18T01:39:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aRlQnfd+1lhroRBLvI1TcRVsYIr7G7xzOusD/O9OnGWcN24tIcXfSggeEpeezaojNKx6XPzlnCyv8pLddijcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:51:03.054480Z"},"content_sha256":"91d2510a3da1dee7a5dc46d1d3dc95299b05f3547639f8be2db6a554ac9291a9","schema_version":"1.0","event_id":"sha256:91d2510a3da1dee7a5dc46d1d3dc95299b05f3547639f8be2db6a554ac9291a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7ISZ6ZBSNFE225FP7OFP7NDY27/bundle.json","state_url":"https://pith.science/pith/7ISZ6ZBSNFE225FP7OFP7NDY27/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7ISZ6ZBSNFE225FP7OFP7NDY27/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":"2026-05-26T06:51:03Z","links":{"resolver":"https://pith.science/pith/7ISZ6ZBSNFE225FP7OFP7NDY27","bundle":"https://pith.science/pith/7ISZ6ZBSNFE225FP7OFP7NDY27/bundle.json","state":"https://pith.science/pith/7ISZ6ZBSNFE225FP7OFP7NDY27/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7ISZ6ZBSNFE225FP7OFP7NDY27/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:7ISZ6ZBSNFE225FP7OFP7NDY27","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":"04a62220b005024054d0303bb35910ae8b322f5018ac2dcdc3652e45ba9d763d","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-09-21T00:11:45Z","title_canon_sha256":"4e8ac11e49bea0fc3d167c5066c0a770df7d416149d8afb9b173409d352d33c2"},"schema_version":"1.0","source":{"id":"cond-mat/0409526","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0409526","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0409526v1","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0409526","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"pith_short_12","alias_value":"7ISZ6ZBSNFE2","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"7ISZ6ZBSNFE225FP","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"7ISZ6ZBS","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:91d2510a3da1dee7a5dc46d1d3dc95299b05f3547639f8be2db6a554ac9291a9","target":"graph","created_at":"2026-05-18T01:39:57Z","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":"We present the results of our theoretical study on the effects of geometrical frustration and the interplay between spin and orbital degrees of freedom in vanadium spinel oxides $A$V$_2$O$_4$ ($A$ = Zn, Mg or Cd). Introducing an effective spin-orbital-lattice coupled model in the strong correlation limit and performing Monte Carlo simulation for the model, we propose a reduced spin Hamiltonian in the orbital ordered phase to capture the stabilization mechanism of the antiferromagnetic order. Orbital order drastically reduces spin frustration by introducing spatial anisotropy in the spin exchan","authors_text":"Hirokazu Tsunetsugu, Yukitoshi Motome","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-09-21T00:11:45Z","title":"Spin Frustration and Orbital Order in Vanadium Spinels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0409526","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":"sha256:42c11179077e1c53c765a32ad92f47b80d05a88b2f64cb98fe91065c0e17ad29","target":"record","created_at":"2026-05-18T01:39:57Z","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":"04a62220b005024054d0303bb35910ae8b322f5018ac2dcdc3652e45ba9d763d","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2004-09-21T00:11:45Z","title_canon_sha256":"4e8ac11e49bea0fc3d167c5066c0a770df7d416149d8afb9b173409d352d33c2"},"schema_version":"1.0","source":{"id":"cond-mat/0409526","kind":"arxiv","version":1}},"canonical_sha256":"fa259f64326949ad74affb8affb478d7f52b09b3558384025cfef7b09515d696","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa259f64326949ad74affb8affb478d7f52b09b3558384025cfef7b09515d696","first_computed_at":"2026-05-18T01:39:57.691752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:57.691752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TEY4tWf+Xr3xEzdNyfkCE8Lr+XMc4hQk14VVKXA2ntX5YGxDWr7mzElCFmlXG4XCLAvKE7DJP7Mi1XDrxBrjAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:57.692277Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0409526","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42c11179077e1c53c765a32ad92f47b80d05a88b2f64cb98fe91065c0e17ad29","sha256:91d2510a3da1dee7a5dc46d1d3dc95299b05f3547639f8be2db6a554ac9291a9"],"state_sha256":"c058f886f36e72ff6b5f724ce1ec7dfef0c5dfa24129df28bf89bb5d1bfcb455"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LEOY1TOtmzqm8q6ojqQL+1+fpp7WkM6LV3/5bNKRjacxHR3c6i67G7vjnX030Cnm2z+tdPvB2vZwURIg1VYbCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T06:51:03.064912Z","bundle_sha256":"ce0d21764fbadbd5e90777c025793312442c10bc0fb0dce442b8ec7c96a66e0f"}}