{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QORIG3IIUH4SKNNGJJWL6GNYLU","short_pith_number":"pith:QORIG3II","canonical_record":{"source":{"id":"1603.04208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-14T11:13:12Z","cross_cats_sorted":[],"title_canon_sha256":"53dee1a51f1dd26ef947da3ab8f6334e9c96535d939855674b17d3b8cc7ac223","abstract_canon_sha256":"e19547475532ce17cd272d4f61a6e8c082f8674f89ec0f9f94c4d140f0de09d2"},"schema_version":"1.0"},"canonical_sha256":"83a2836d08a1f92535a64a6cbf19b85d1d14313f7b6d32a9c69c314138961fdf","source":{"kind":"arxiv","id":"1603.04208","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04208","created_at":"2026-05-18T01:16:54Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04208v2","created_at":"2026-05-18T01:16:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04208","created_at":"2026-05-18T01:16:54Z"},{"alias_kind":"pith_short_12","alias_value":"QORIG3IIUH4S","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QORIG3IIUH4SKNNG","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QORIG3II","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QORIG3IIUH4SKNNGJJWL6GNYLU","target":"record","payload":{"canonical_record":{"source":{"id":"1603.04208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-14T11:13:12Z","cross_cats_sorted":[],"title_canon_sha256":"53dee1a51f1dd26ef947da3ab8f6334e9c96535d939855674b17d3b8cc7ac223","abstract_canon_sha256":"e19547475532ce17cd272d4f61a6e8c082f8674f89ec0f9f94c4d140f0de09d2"},"schema_version":"1.0"},"canonical_sha256":"83a2836d08a1f92535a64a6cbf19b85d1d14313f7b6d32a9c69c314138961fdf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:54.455181Z","signature_b64":"HlqMUeq1rNlNBsDICwvKvFZTyWsj/pv+4frCZcyu5zy7umsjYXnYYhe5jia3TdVo+E0d7Fkhus7sZ5wdNrVRDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83a2836d08a1f92535a64a6cbf19b85d1d14313f7b6d32a9c69c314138961fdf","last_reissued_at":"2026-05-18T01:16:54.454479Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:54.454479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.04208","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":"2026-05-18T01:16:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"idR52XR4jbe+HKhV14P+gwhgxvkRNmZ4HFAQNxZtiyzaCH2+5NbIbq5JMFVR+AgJQWTqGhdlQ46PgPI29AACAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:58:55.266411Z"},"content_sha256":"230bc09ec0332b636b1b6bf1b61c33d4611d4b1035b7914f9314bba6d35700c9","schema_version":"1.0","event_id":"sha256:230bc09ec0332b636b1b6bf1b61c33d4611d4b1035b7914f9314bba6d35700c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QORIG3IIUH4SKNNGJJWL6GNYLU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"XY ring exchange model with frustrated Ising coupling on the triangular lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"S. A. Owerre","submitted_at":"2016-03-14T11:13:12Z","abstract_excerpt":"We investigate the nature of a $Z_2$-invariant XY ring-exchange interaction with a frustrated Ising coupling on the triangular lattice. In the limit of pure XY ring-exchange interaction, we show that the classical ground state is degenerate resulting from the $Z_2$-invariance of the Hamiltonian. Quantum fluctuations lift these classical degenerate ground states and produce an unusual state whose excitation spectrum exhibits a gapped maximum quadratic dispersion near ${\\bf k}=0$ and vanishes at the midpoints of each side of the Brillouin zone. This result is in contrast to a gapless quadratic d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04208","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":"2026-05-18T01:16:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TPmmLOrZ6DT32JsIFzoMoeyMg1d7AxPuXHNgOH3eG0dhtMqdI5mTe6Gq9Msgpuzb8GnEplZKE9lKyVX2UoOfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:58:55.267167Z"},"content_sha256":"2effb397b30b7510ea0e482102f8bb6ea750c8dde7acd64e4ff41895369abe3c","schema_version":"1.0","event_id":"sha256:2effb397b30b7510ea0e482102f8bb6ea750c8dde7acd64e4ff41895369abe3c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QORIG3IIUH4SKNNGJJWL6GNYLU/bundle.json","state_url":"https://pith.science/pith/QORIG3IIUH4SKNNGJJWL6GNYLU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QORIG3IIUH4SKNNGJJWL6GNYLU/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":"2026-05-31T21:58:55Z","links":{"resolver":"https://pith.science/pith/QORIG3IIUH4SKNNGJJWL6GNYLU","bundle":"https://pith.science/pith/QORIG3IIUH4SKNNGJJWL6GNYLU/bundle.json","state":"https://pith.science/pith/QORIG3IIUH4SKNNGJJWL6GNYLU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QORIG3IIUH4SKNNGJJWL6GNYLU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QORIG3IIUH4SKNNGJJWL6GNYLU","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":"e19547475532ce17cd272d4f61a6e8c082f8674f89ec0f9f94c4d140f0de09d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-14T11:13:12Z","title_canon_sha256":"53dee1a51f1dd26ef947da3ab8f6334e9c96535d939855674b17d3b8cc7ac223"},"schema_version":"1.0","source":{"id":"1603.04208","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04208","created_at":"2026-05-18T01:16:54Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04208v2","created_at":"2026-05-18T01:16:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04208","created_at":"2026-05-18T01:16:54Z"},{"alias_kind":"pith_short_12","alias_value":"QORIG3IIUH4S","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QORIG3IIUH4SKNNG","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QORIG3II","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:2effb397b30b7510ea0e482102f8bb6ea750c8dde7acd64e4ff41895369abe3c","target":"graph","created_at":"2026-05-18T01:16:54Z","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 investigate the nature of a $Z_2$-invariant XY ring-exchange interaction with a frustrated Ising coupling on the triangular lattice. In the limit of pure XY ring-exchange interaction, we show that the classical ground state is degenerate resulting from the $Z_2$-invariance of the Hamiltonian. Quantum fluctuations lift these classical degenerate ground states and produce an unusual state whose excitation spectrum exhibits a gapped maximum quadratic dispersion near ${\\bf k}=0$ and vanishes at the midpoints of each side of the Brillouin zone. This result is in contrast to a gapless quadratic d","authors_text":"S. A. Owerre","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-14T11:13:12Z","title":"XY ring exchange model with frustrated Ising coupling on the triangular lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04208","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":"sha256:230bc09ec0332b636b1b6bf1b61c33d4611d4b1035b7914f9314bba6d35700c9","target":"record","created_at":"2026-05-18T01:16:54Z","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":"e19547475532ce17cd272d4f61a6e8c082f8674f89ec0f9f94c4d140f0de09d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-03-14T11:13:12Z","title_canon_sha256":"53dee1a51f1dd26ef947da3ab8f6334e9c96535d939855674b17d3b8cc7ac223"},"schema_version":"1.0","source":{"id":"1603.04208","kind":"arxiv","version":2}},"canonical_sha256":"83a2836d08a1f92535a64a6cbf19b85d1d14313f7b6d32a9c69c314138961fdf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83a2836d08a1f92535a64a6cbf19b85d1d14313f7b6d32a9c69c314138961fdf","first_computed_at":"2026-05-18T01:16:54.454479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:54.454479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HlqMUeq1rNlNBsDICwvKvFZTyWsj/pv+4frCZcyu5zy7umsjYXnYYhe5jia3TdVo+E0d7Fkhus7sZ5wdNrVRDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:54.455181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.04208","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:230bc09ec0332b636b1b6bf1b61c33d4611d4b1035b7914f9314bba6d35700c9","sha256:2effb397b30b7510ea0e482102f8bb6ea750c8dde7acd64e4ff41895369abe3c"],"state_sha256":"2f73a4a924ecb7b50bc1d762efb0a3109da589b636be4510433eb3f106767152"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TRIAFFVHzBFGhJfCS3C4KlBcdg9xFuMP9vgARR37VWhdurWZHC4v3e8wi1K6LJE4grVtT3qeJ3DA/P7ba2eIAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:58:55.270785Z","bundle_sha256":"e649278d0bd5c8c72f0bb0f3bced29cedb02132de2e2a244e7c6daac54e1ef51"}}