{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZJBZ54BWATMDPGFILI7LX7AXGM","short_pith_number":"pith:ZJBZ54BW","canonical_record":{"source":{"id":"1209.1381","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-09-06T19:41:57Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"51d30d5d20bbc054cd914b8c66ece51ad3f89b719bdaacafab21ddde7a439ca5","abstract_canon_sha256":"dbcfa7a0f28100c86c46582f8dadc054cee1acaed459e346ab0843dfaffb6604"},"schema_version":"1.0"},"canonical_sha256":"ca439ef03604d83798a85a3ebbfc1733146c7d903be0908f1b3f2b8c57398144","source":{"kind":"arxiv","id":"1209.1381","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1381","created_at":"2026-05-18T01:54:39Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1381v2","created_at":"2026-05-18T01:54:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1381","created_at":"2026-05-18T01:54:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZJBZ54BWATMD","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZJBZ54BWATMDPGFI","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZJBZ54BW","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZJBZ54BWATMDPGFILI7LX7AXGM","target":"record","payload":{"canonical_record":{"source":{"id":"1209.1381","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-09-06T19:41:57Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"51d30d5d20bbc054cd914b8c66ece51ad3f89b719bdaacafab21ddde7a439ca5","abstract_canon_sha256":"dbcfa7a0f28100c86c46582f8dadc054cee1acaed459e346ab0843dfaffb6604"},"schema_version":"1.0"},"canonical_sha256":"ca439ef03604d83798a85a3ebbfc1733146c7d903be0908f1b3f2b8c57398144","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:39.130744Z","signature_b64":"nSuNDzr+Lb/9emQ+1SIDU/Y1XABvmwTFCbJnQcd87yXsB0IEXAEoVXw67rd+yYSrNJzkbRhCa/+hqtzOGxUHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca439ef03604d83798a85a3ebbfc1733146c7d903be0908f1b3f2b8c57398144","last_reissued_at":"2026-05-18T01:54:39.130050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:39.130050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.1381","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":"2026-05-18T01:54:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FS4BNojUs6MrquB+M0mvfM3ZSyL5gEa9asoE+S15U/AOR8Z0mcYylJ6uILem1UcTDlO5ZPVYpIpp5WCmBMuzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:21:47.496223Z"},"content_sha256":"e2c04ec1962edff863de27a236a19309447c33e51659012452fe955c13704936","schema_version":"1.0","event_id":"sha256:e2c04ec1962edff863de27a236a19309447c33e51659012452fe955c13704936"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZJBZ54BWATMDPGFILI7LX7AXGM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.str-el","authors_text":"Christopher L. Henley, Sophia R. Sklan","submitted_at":"2012-09-06T19:41:57Z","abstract_excerpt":"We consider methods to identify the classical ground state for an exchange-coupled Heisenberg antiferromagnet on a non-Bravais lattice with interactions $J_{ij}$ to several neighbor distances. Here we apply this to the unusual \"octahedral\" lattice in which spins sit on the edge midpoints of a simple cubic lattice. Our approach is informed by the eigenvectors of $J_{ij}$ with largest eigenvalues. We discovered two families of non-coplanar states: (i) two kinds of commensurate state with cubic symmetry, each having twelve sublattices with spins pointing in (1,1,0) directions in spin space (modul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1381","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":"2026-05-18T01:54:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+GH8UorBoowbuBHWshMi1xwcbN+4zcrblmCEtmVGVUS93rWScKQqejuAdB0HB2EE64gaw5R+arrOD5vAXYAMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:21:47.496914Z"},"content_sha256":"771b62a331bfd6f72ad70bf3753dd253778dd4741294c51abcc9dc056e622419","schema_version":"1.0","event_id":"sha256:771b62a331bfd6f72ad70bf3753dd253778dd4741294c51abcc9dc056e622419"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZJBZ54BWATMDPGFILI7LX7AXGM/bundle.json","state_url":"https://pith.science/pith/ZJBZ54BWATMDPGFILI7LX7AXGM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZJBZ54BWATMDPGFILI7LX7AXGM/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":"2026-05-31T11:21:47Z","links":{"resolver":"https://pith.science/pith/ZJBZ54BWATMDPGFILI7LX7AXGM","bundle":"https://pith.science/pith/ZJBZ54BWATMDPGFILI7LX7AXGM/bundle.json","state":"https://pith.science/pith/ZJBZ54BWATMDPGFILI7LX7AXGM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZJBZ54BWATMDPGFILI7LX7AXGM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZJBZ54BWATMDPGFILI7LX7AXGM","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":"dbcfa7a0f28100c86c46582f8dadc054cee1acaed459e346ab0843dfaffb6604","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-09-06T19:41:57Z","title_canon_sha256":"51d30d5d20bbc054cd914b8c66ece51ad3f89b719bdaacafab21ddde7a439ca5"},"schema_version":"1.0","source":{"id":"1209.1381","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1381","created_at":"2026-05-18T01:54:39Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1381v2","created_at":"2026-05-18T01:54:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1381","created_at":"2026-05-18T01:54:39Z"},{"alias_kind":"pith_short_12","alias_value":"ZJBZ54BWATMD","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZJBZ54BWATMDPGFI","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZJBZ54BW","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:771b62a331bfd6f72ad70bf3753dd253778dd4741294c51abcc9dc056e622419","target":"graph","created_at":"2026-05-18T01:54:39Z","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 consider methods to identify the classical ground state for an exchange-coupled Heisenberg antiferromagnet on a non-Bravais lattice with interactions $J_{ij}$ to several neighbor distances. Here we apply this to the unusual \"octahedral\" lattice in which spins sit on the edge midpoints of a simple cubic lattice. Our approach is informed by the eigenvectors of $J_{ij}$ with largest eigenvalues. We discovered two families of non-coplanar states: (i) two kinds of commensurate state with cubic symmetry, each having twelve sublattices with spins pointing in (1,1,0) directions in spin space (modul","authors_text":"Christopher L. Henley, Sophia R. Sklan","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-09-06T19:41:57Z","title":"Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1381","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:e2c04ec1962edff863de27a236a19309447c33e51659012452fe955c13704936","target":"record","created_at":"2026-05-18T01:54:39Z","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":"dbcfa7a0f28100c86c46582f8dadc054cee1acaed459e346ab0843dfaffb6604","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-09-06T19:41:57Z","title_canon_sha256":"51d30d5d20bbc054cd914b8c66ece51ad3f89b719bdaacafab21ddde7a439ca5"},"schema_version":"1.0","source":{"id":"1209.1381","kind":"arxiv","version":2}},"canonical_sha256":"ca439ef03604d83798a85a3ebbfc1733146c7d903be0908f1b3f2b8c57398144","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca439ef03604d83798a85a3ebbfc1733146c7d903be0908f1b3f2b8c57398144","first_computed_at":"2026-05-18T01:54:39.130050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:39.130050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nSuNDzr+Lb/9emQ+1SIDU/Y1XABvmwTFCbJnQcd87yXsB0IEXAEoVXw67rd+yYSrNJzkbRhCa/+hqtzOGxUHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:39.130744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.1381","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2c04ec1962edff863de27a236a19309447c33e51659012452fe955c13704936","sha256:771b62a331bfd6f72ad70bf3753dd253778dd4741294c51abcc9dc056e622419"],"state_sha256":"a0f8a084b2933288d482d74ca23f39a9b9898cf76d5e5ce289a7f0ee2f9668a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M80bMam1nZTz2lnxalPKma8sgxYLGlNqB763G5WEXXOTDGn+0wQWkJL2ZAxvQ55wZlMP+5/OFvVV4m5ptqJsAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:21:47.500511Z","bundle_sha256":"fe7dd41f44489a66a68eb4ebdc5248f2c3bb674a48e893e09b2ec254825fcd23"}}