{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:2MBG4LVIS63L4QMDPB3STAKZDP","short_pith_number":"pith:2MBG4LVI","canonical_record":{"source":{"id":"0710.4574","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2007-10-24T21:43:42Z","cross_cats_sorted":[],"title_canon_sha256":"9af5700792d9f2150ca1208f630be834796ce8568b36106587d718c33c23565d","abstract_canon_sha256":"69677fed436fef6fa4b297e573894e7144161d32dc20db297ea56bf05a400f11"},"schema_version":"1.0"},"canonical_sha256":"d3026e2ea897b6be418378772981591bf40c1b32e14dc1d64a3523a7def0bced","source":{"kind":"arxiv","id":"0710.4574","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.4574","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"0710.4574v3","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.4574","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"2MBG4LVIS63L","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"2MBG4LVIS63L4QMD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"2MBG4LVI","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:2MBG4LVIS63L4QMDPB3STAKZDP","target":"record","payload":{"canonical_record":{"source":{"id":"0710.4574","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2007-10-24T21:43:42Z","cross_cats_sorted":[],"title_canon_sha256":"9af5700792d9f2150ca1208f630be834796ce8568b36106587d718c33c23565d","abstract_canon_sha256":"69677fed436fef6fa4b297e573894e7144161d32dc20db297ea56bf05a400f11"},"schema_version":"1.0"},"canonical_sha256":"d3026e2ea897b6be418378772981591bf40c1b32e14dc1d64a3523a7def0bced","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:10.185890Z","signature_b64":"gj8F+lIJ/241ev7JcRhmbMIWMiNahPHF2PSlvgocvPGzwFYFcoUwAfrzAmjyJahDPMS7tH1EPR+Fax3UdKL0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3026e2ea897b6be418378772981591bf40c1b32e14dc1d64a3523a7def0bced","last_reissued_at":"2026-05-18T02:16:10.185235Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:10.185235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.4574","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SLMkRvPoibBxe6IBVxxPz5D6tKX2IV4RwjwsFsqAJgF9Mo+UgAMFLz/dM5ugN/0c94hIKRmGjzcj5ae5uNUbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:03:24.427618Z"},"content_sha256":"9619cc83ea4df1e4783cf98b5bb4aec460a09edfb67453502cee4eb716607f66","schema_version":"1.0","event_id":"sha256:9619cc83ea4df1e4783cf98b5bb4aec460a09edfb67453502cee4eb716607f66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:2MBG4LVIS63L4QMDPB3STAKZDP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spontaneous spin ordering of Dirac spin liquid in a magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Patrick A. Lee, Wing-Ho Ko, Xiao-Gang Wen, Ying Ran","submitted_at":"2007-10-24T21:43:42Z","abstract_excerpt":"The Dirac spin liquid was proposed to be the ground state of the spin-1/2 Kagome antiferromagnets. In a magnetic field $B$, we show that the state with Fermi pocket is unstable to the Landau level (LL) state. The LL state breaks the spin rotation around the axis of the magnetic field. We find that the LL state has an in-plane 120$^{\\circ}$ $q=0$ magnetization $M$ which scales with the external field $M\\sim B^{\\alpha}$, where $\\alpha$ is an intrinsic calculable universal number of the Dirac spin liquid. We discuss the related experimental implications which can be used to detect the possible Di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4574","kind":"arxiv","version":3},"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":"2026-05-18T02:16:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bfaTv25Ox0P2Ax6JAANrQmcvY9W3WIscYdYwd9TIi3HtkGA88mfXxT6szcTPjR+0FEWX8MIkdeJubF/kLEBWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:03:24.428237Z"},"content_sha256":"8e0302e15bca42c30d1edf3f5b4348506d621c5d448f7ca7bc02c2ac3885c2fa","schema_version":"1.0","event_id":"sha256:8e0302e15bca42c30d1edf3f5b4348506d621c5d448f7ca7bc02c2ac3885c2fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2MBG4LVIS63L4QMDPB3STAKZDP/bundle.json","state_url":"https://pith.science/pith/2MBG4LVIS63L4QMDPB3STAKZDP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2MBG4LVIS63L4QMDPB3STAKZDP/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":"2026-06-07T21:03:24Z","links":{"resolver":"https://pith.science/pith/2MBG4LVIS63L4QMDPB3STAKZDP","bundle":"https://pith.science/pith/2MBG4LVIS63L4QMDPB3STAKZDP/bundle.json","state":"https://pith.science/pith/2MBG4LVIS63L4QMDPB3STAKZDP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2MBG4LVIS63L4QMDPB3STAKZDP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:2MBG4LVIS63L4QMDPB3STAKZDP","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":"69677fed436fef6fa4b297e573894e7144161d32dc20db297ea56bf05a400f11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2007-10-24T21:43:42Z","title_canon_sha256":"9af5700792d9f2150ca1208f630be834796ce8568b36106587d718c33c23565d"},"schema_version":"1.0","source":{"id":"0710.4574","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.4574","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"arxiv_version","alias_value":"0710.4574v3","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.4574","created_at":"2026-05-18T02:16:10Z"},{"alias_kind":"pith_short_12","alias_value":"2MBG4LVIS63L","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"2MBG4LVIS63L4QMD","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"2MBG4LVI","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:8e0302e15bca42c30d1edf3f5b4348506d621c5d448f7ca7bc02c2ac3885c2fa","target":"graph","created_at":"2026-05-18T02:16:10Z","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 Dirac spin liquid was proposed to be the ground state of the spin-1/2 Kagome antiferromagnets. In a magnetic field $B$, we show that the state with Fermi pocket is unstable to the Landau level (LL) state. The LL state breaks the spin rotation around the axis of the magnetic field. We find that the LL state has an in-plane 120$^{\\circ}$ $q=0$ magnetization $M$ which scales with the external field $M\\sim B^{\\alpha}$, where $\\alpha$ is an intrinsic calculable universal number of the Dirac spin liquid. We discuss the related experimental implications which can be used to detect the possible Di","authors_text":"Patrick A. Lee, Wing-Ho Ko, Xiao-Gang Wen, Ying Ran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2007-10-24T21:43:42Z","title":"Spontaneous spin ordering of Dirac spin liquid in a magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4574","kind":"arxiv","version":3},"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":"sha256:9619cc83ea4df1e4783cf98b5bb4aec460a09edfb67453502cee4eb716607f66","target":"record","created_at":"2026-05-18T02:16:10Z","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":"69677fed436fef6fa4b297e573894e7144161d32dc20db297ea56bf05a400f11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2007-10-24T21:43:42Z","title_canon_sha256":"9af5700792d9f2150ca1208f630be834796ce8568b36106587d718c33c23565d"},"schema_version":"1.0","source":{"id":"0710.4574","kind":"arxiv","version":3}},"canonical_sha256":"d3026e2ea897b6be418378772981591bf40c1b32e14dc1d64a3523a7def0bced","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3026e2ea897b6be418378772981591bf40c1b32e14dc1d64a3523a7def0bced","first_computed_at":"2026-05-18T02:16:10.185235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:10.185235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gj8F+lIJ/241ev7JcRhmbMIWMiNahPHF2PSlvgocvPGzwFYFcoUwAfrzAmjyJahDPMS7tH1EPR+Fax3UdKL0CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:10.185890Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.4574","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9619cc83ea4df1e4783cf98b5bb4aec460a09edfb67453502cee4eb716607f66","sha256:8e0302e15bca42c30d1edf3f5b4348506d621c5d448f7ca7bc02c2ac3885c2fa"],"state_sha256":"8a8895bafa2d209a4105ecbb0c64e6aa7f5911ccffc28db95a1a2ebc7e276656"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sQG34huJN4Wl5ZkOx5Z/Gn6vRcJkcqSyb2TyC6oYOqjzGv1+5Umy33zzCZqzBftRgftgu4taSxcXzsLJDdEHBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:03:24.432146Z","bundle_sha256":"141d707c237a9e01579b2bc5f65a97793baff27b4fa28f9670539bc2fcee70a4"}}