{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:O6MK6WPILXR6MIJLHIJ66CWTQX","short_pith_number":"pith:O6MK6WPI","canonical_record":{"source":{"id":"1308.6592","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-29T20:05:27Z","cross_cats_sorted":[],"title_canon_sha256":"0afa089b2ef77499918151432887cbe3979869bab2a3cd49d505ca0dfc7c7edf","abstract_canon_sha256":"b319e96aba154924b5d90cf486bd09e7949e7fd5d743bded9b63a384572caeae"},"schema_version":"1.0"},"canonical_sha256":"7798af59e85de3e6212b3a13ef0ad385c2bb47c69edaa051be7a45b87a934597","source":{"kind":"arxiv","id":"1308.6592","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6592","created_at":"2026-05-18T03:01:35Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6592v2","created_at":"2026-05-18T03:01:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6592","created_at":"2026-05-18T03:01:35Z"},{"alias_kind":"pith_short_12","alias_value":"O6MK6WPILXR6","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"O6MK6WPILXR6MIJL","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"O6MK6WPI","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:O6MK6WPILXR6MIJLHIJ66CWTQX","target":"record","payload":{"canonical_record":{"source":{"id":"1308.6592","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-29T20:05:27Z","cross_cats_sorted":[],"title_canon_sha256":"0afa089b2ef77499918151432887cbe3979869bab2a3cd49d505ca0dfc7c7edf","abstract_canon_sha256":"b319e96aba154924b5d90cf486bd09e7949e7fd5d743bded9b63a384572caeae"},"schema_version":"1.0"},"canonical_sha256":"7798af59e85de3e6212b3a13ef0ad385c2bb47c69edaa051be7a45b87a934597","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:35.512358Z","signature_b64":"C2t3AdL3nZ+xVMCn3fauxmPE1uLpHoFiOpoqYfUNGqOBiI0j3nYwExRXB1cQSSZZZSXsZEos2ERKRgzOplMTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7798af59e85de3e6212b3a13ef0ad385c2bb47c69edaa051be7a45b87a934597","last_reissued_at":"2026-05-18T03:01:35.511855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:35.511855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.6592","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":"2026-05-18T03:01:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ImpJ3SCH53PwNojAlLQ4tLTz5+evmPYJk4zyQd6HEULKSRNwo5vIBJYmjleONMcEoK60zGxbo4FcBtt1MzqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:42:25.303833Z"},"content_sha256":"f9fc8dad01151fb043380fd2cd53e434bbc401567dd16f06458a8c714befd779","schema_version":"1.0","event_id":"sha256:f9fc8dad01151fb043380fd2cd53e434bbc401567dd16f06458a8c714befd779"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:O6MK6WPILXR6MIJLHIJ66CWTQX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heisenberg-Kitaev model on hyperhoneycomb lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Eric Kin-Ho Lee, Robert Schaffer, Subhro Bhattacharjee, Yong Baek Kim","submitted_at":"2013-08-29T20:05:27Z","abstract_excerpt":"Motivated by recent experiments on $\\beta-$Li$_2$IrO$_3$, we study the phase diagram of the Heisenberg-Kitaev model on a three dimensional lattice of tri-coordinated Ir$^{4+}$, dubbed the hyperhoneycomb lattice by Takagi et. al. The lattice geometry of this material, along with Ir$^{4+}$ ions carrying $J_{\\rm eff}=1/2$ moments, suggests that the Heisenberg-Kitaev model may effectively capture the low energy spin-physics of the system in the strong-coupling limit. Using a combination of semiclassical analysis, exact solution and slave-fermion mean field theory, we find, in addition to the spin-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6592","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":"2026-05-18T03:01:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c0HkhXd1TDYGu9lTfBt+Ctk7ZZ0TqXsIzbWq4UUcOBnXJ5Al20ghVsHeQU0dQQQjLhg4Dzz2PiwpO9/7uGKEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T13:42:25.304177Z"},"content_sha256":"70339652547dda0e3840b1e447fd99e01778a218847c325b12227e8a6b178e30","schema_version":"1.0","event_id":"sha256:70339652547dda0e3840b1e447fd99e01778a218847c325b12227e8a6b178e30"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O6MK6WPILXR6MIJLHIJ66CWTQX/bundle.json","state_url":"https://pith.science/pith/O6MK6WPILXR6MIJLHIJ66CWTQX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O6MK6WPILXR6MIJLHIJ66CWTQX/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":"2026-06-26T13:42:25Z","links":{"resolver":"https://pith.science/pith/O6MK6WPILXR6MIJLHIJ66CWTQX","bundle":"https://pith.science/pith/O6MK6WPILXR6MIJLHIJ66CWTQX/bundle.json","state":"https://pith.science/pith/O6MK6WPILXR6MIJLHIJ66CWTQX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O6MK6WPILXR6MIJLHIJ66CWTQX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:O6MK6WPILXR6MIJLHIJ66CWTQX","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":"b319e96aba154924b5d90cf486bd09e7949e7fd5d743bded9b63a384572caeae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-29T20:05:27Z","title_canon_sha256":"0afa089b2ef77499918151432887cbe3979869bab2a3cd49d505ca0dfc7c7edf"},"schema_version":"1.0","source":{"id":"1308.6592","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6592","created_at":"2026-05-18T03:01:35Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6592v2","created_at":"2026-05-18T03:01:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6592","created_at":"2026-05-18T03:01:35Z"},{"alias_kind":"pith_short_12","alias_value":"O6MK6WPILXR6","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"O6MK6WPILXR6MIJL","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"O6MK6WPI","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:70339652547dda0e3840b1e447fd99e01778a218847c325b12227e8a6b178e30","target":"graph","created_at":"2026-05-18T03:01:35Z","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 $\\beta-$Li$_2$IrO$_3$, we study the phase diagram of the Heisenberg-Kitaev model on a three dimensional lattice of tri-coordinated Ir$^{4+}$, dubbed the hyperhoneycomb lattice by Takagi et. al. The lattice geometry of this material, along with Ir$^{4+}$ ions carrying $J_{\\rm eff}=1/2$ moments, suggests that the Heisenberg-Kitaev model may effectively capture the low energy spin-physics of the system in the strong-coupling limit. Using a combination of semiclassical analysis, exact solution and slave-fermion mean field theory, we find, in addition to the spin-","authors_text":"Eric Kin-Ho Lee, Robert Schaffer, Subhro Bhattacharjee, Yong Baek Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-29T20:05:27Z","title":"Heisenberg-Kitaev model on hyperhoneycomb lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6592","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:f9fc8dad01151fb043380fd2cd53e434bbc401567dd16f06458a8c714befd779","target":"record","created_at":"2026-05-18T03:01:35Z","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":"b319e96aba154924b5d90cf486bd09e7949e7fd5d743bded9b63a384572caeae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-29T20:05:27Z","title_canon_sha256":"0afa089b2ef77499918151432887cbe3979869bab2a3cd49d505ca0dfc7c7edf"},"schema_version":"1.0","source":{"id":"1308.6592","kind":"arxiv","version":2}},"canonical_sha256":"7798af59e85de3e6212b3a13ef0ad385c2bb47c69edaa051be7a45b87a934597","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7798af59e85de3e6212b3a13ef0ad385c2bb47c69edaa051be7a45b87a934597","first_computed_at":"2026-05-18T03:01:35.511855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:35.511855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C2t3AdL3nZ+xVMCn3fauxmPE1uLpHoFiOpoqYfUNGqOBiI0j3nYwExRXB1cQSSZZZSXsZEos2ERKRgzOplMTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:35.512358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6592","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9fc8dad01151fb043380fd2cd53e434bbc401567dd16f06458a8c714befd779","sha256:70339652547dda0e3840b1e447fd99e01778a218847c325b12227e8a6b178e30"],"state_sha256":"1cb1c4a534694eccd81fe106a639ace09d131032e48b871628a3dc1465ba5db2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GqS2SQ6wcRnHVu757KqMGcqUyEUaLXP/ZS/ist7bV8N9O7ImL8ct+K5rv7X0/4zZcJOFYbO1oT3t7cscUKNWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T13:42:25.306170Z","bundle_sha256":"92683922dea7e3c14cd39aa4f7c73cb0ae34a66e727d3328b2e1ab7556ebed36"}}