{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UQUUQUMGKME3WO3PW2OKLO6ANS","short_pith_number":"pith:UQUUQUMG","canonical_record":{"source":{"id":"1004.1119","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-07T16:00:32Z","cross_cats_sorted":[],"title_canon_sha256":"63035434ab4d60930858e4b8d14fbbe65f97bb1440e4f8a6d65c33e1c476d07e","abstract_canon_sha256":"49442c6e6457c983029e741a1b585129f1aee35f0e2868bab886c47cec7a1d68"},"schema_version":"1.0"},"canonical_sha256":"a4294851865309bb3b6fb69ca5bbc06caf0e22e3628fd41ed65d50c441fe3390","source":{"kind":"arxiv","id":"1004.1119","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1119","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1119v2","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1119","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"pith_short_12","alias_value":"UQUUQUMGKME3","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UQUUQUMGKME3WO3P","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UQUUQUMG","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UQUUQUMGKME3WO3PW2OKLO6ANS","target":"record","payload":{"canonical_record":{"source":{"id":"1004.1119","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-07T16:00:32Z","cross_cats_sorted":[],"title_canon_sha256":"63035434ab4d60930858e4b8d14fbbe65f97bb1440e4f8a6d65c33e1c476d07e","abstract_canon_sha256":"49442c6e6457c983029e741a1b585129f1aee35f0e2868bab886c47cec7a1d68"},"schema_version":"1.0"},"canonical_sha256":"a4294851865309bb3b6fb69ca5bbc06caf0e22e3628fd41ed65d50c441fe3390","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:48.883049Z","signature_b64":"nmzEIFZw9agfMWp1COATHCBzT137lqwQLetEHcFHcT4jTCuQYsmJ7bMlYT2kLQijgUG6AqXYr7Afh1Lzz3BqDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4294851865309bb3b6fb69ca5bbc06caf0e22e3628fd41ed65d50c441fe3390","last_reissued_at":"2026-05-18T03:23:48.882518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:48.882518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.1119","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":"2026-05-18T03:23:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xTov+gbSg+93vToytdVeStMwk0Aq4TiPr7E3UJyr7dw6VclHYzHXtmn7vMzXU2qgtRupdlN9tQ9eHTJdFO6vCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:45:35.622205Z"},"content_sha256":"ef4dc161a63567aa761c11752a953d9f00d6045af0407ade17bf06963dc57bec","schema_version":"1.0","event_id":"sha256:ef4dc161a63567aa761c11752a953d9f00d6045af0407ade17bf06963dc57bec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UQUUQUMGKME3WO3PW2OKLO6ANS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. Mulder, A. Paramekanti, L. Capriotti, R. Ganesh","submitted_at":"2010-04-07T16:00:32Z","abstract_excerpt":"Motivated by recent experiments on Bi$_3$Mn$_4$O$_{12}$(NO$_3$), we study a frustrated $J_1$-$J_2$ Heisenberg model on the two dimensional (2D) honeycomb lattice. The classical $J_1$-$J_2$ Heisenberg model on the two dimensional (2D) honeycomb lattice has N\\'eel order for $J_2 < J_1/6$. For $J_2 > J_1/6$, it exhibits a one-parameter family of degenerate incommensurate spin spiral ground states where the spiral wave vector can point in any direction. Spin wave fluctuations at leading order lift this accidental degeneracy in favor of specific wave vectors, leading to spiral order by disorder. Fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1119","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":"2026-05-18T03:23:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FC2Bex7TZ5R9lpLncJKYy1PSKReVh5OckeHiRXfdNiVD3GGny3HVjYCPLikBVkGm9ovHPvLg9l+Wq5qnjq9lBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:45:35.622850Z"},"content_sha256":"d247bdb73bc89a5a841b47ef1220a963bf4bc6e5e85bf2fdea9afa1a5c96ad99","schema_version":"1.0","event_id":"sha256:d247bdb73bc89a5a841b47ef1220a963bf4bc6e5e85bf2fdea9afa1a5c96ad99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UQUUQUMGKME3WO3PW2OKLO6ANS/bundle.json","state_url":"https://pith.science/pith/UQUUQUMGKME3WO3PW2OKLO6ANS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UQUUQUMGKME3WO3PW2OKLO6ANS/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":"2026-05-26T20:45:35Z","links":{"resolver":"https://pith.science/pith/UQUUQUMGKME3WO3PW2OKLO6ANS","bundle":"https://pith.science/pith/UQUUQUMGKME3WO3PW2OKLO6ANS/bundle.json","state":"https://pith.science/pith/UQUUQUMGKME3WO3PW2OKLO6ANS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UQUUQUMGKME3WO3PW2OKLO6ANS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UQUUQUMGKME3WO3PW2OKLO6ANS","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":"49442c6e6457c983029e741a1b585129f1aee35f0e2868bab886c47cec7a1d68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-07T16:00:32Z","title_canon_sha256":"63035434ab4d60930858e4b8d14fbbe65f97bb1440e4f8a6d65c33e1c476d07e"},"schema_version":"1.0","source":{"id":"1004.1119","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1119","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1119v2","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1119","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"pith_short_12","alias_value":"UQUUQUMGKME3","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UQUUQUMGKME3WO3P","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UQUUQUMG","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:d247bdb73bc89a5a841b47ef1220a963bf4bc6e5e85bf2fdea9afa1a5c96ad99","target":"graph","created_at":"2026-05-18T03:23:48Z","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":"Motivated by recent experiments on Bi$_3$Mn$_4$O$_{12}$(NO$_3$), we study a frustrated $J_1$-$J_2$ Heisenberg model on the two dimensional (2D) honeycomb lattice. The classical $J_1$-$J_2$ Heisenberg model on the two dimensional (2D) honeycomb lattice has N\\'eel order for $J_2 < J_1/6$. For $J_2 > J_1/6$, it exhibits a one-parameter family of degenerate incommensurate spin spiral ground states where the spiral wave vector can point in any direction. Spin wave fluctuations at leading order lift this accidental degeneracy in favor of specific wave vectors, leading to spiral order by disorder. Fo","authors_text":"A. Mulder, A. Paramekanti, L. Capriotti, R. Ganesh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-07T16:00:32Z","title":"Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1119","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:ef4dc161a63567aa761c11752a953d9f00d6045af0407ade17bf06963dc57bec","target":"record","created_at":"2026-05-18T03:23:48Z","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":"49442c6e6457c983029e741a1b585129f1aee35f0e2868bab886c47cec7a1d68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-07T16:00:32Z","title_canon_sha256":"63035434ab4d60930858e4b8d14fbbe65f97bb1440e4f8a6d65c33e1c476d07e"},"schema_version":"1.0","source":{"id":"1004.1119","kind":"arxiv","version":2}},"canonical_sha256":"a4294851865309bb3b6fb69ca5bbc06caf0e22e3628fd41ed65d50c441fe3390","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4294851865309bb3b6fb69ca5bbc06caf0e22e3628fd41ed65d50c441fe3390","first_computed_at":"2026-05-18T03:23:48.882518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:48.882518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nmzEIFZw9agfMWp1COATHCBzT137lqwQLetEHcFHcT4jTCuQYsmJ7bMlYT2kLQijgUG6AqXYr7Afh1Lzz3BqDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:48.883049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1119","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef4dc161a63567aa761c11752a953d9f00d6045af0407ade17bf06963dc57bec","sha256:d247bdb73bc89a5a841b47ef1220a963bf4bc6e5e85bf2fdea9afa1a5c96ad99"],"state_sha256":"264f03b5f7a0ed9a9465b34ae4ea537e97dcf47d30c895b94ba885d538ea5320"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vO8gQu1TP8wtsAKndRbZyq/6MkansFl99Og2p43MnmCnSNdnblpD0UptE2UhfStMgXibpohbFBCHTBJ6SHOEAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:45:35.626229Z","bundle_sha256":"851b859efc6d58776f0ffa17704dc09de5454f4ae5c331dafbda52de1538d60c"}}