{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:VQGOPHVGOHYJIZYG7HETNMQGGO","short_pith_number":"pith:VQGOPHVG","canonical_record":{"source":{"id":"1202.1462","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-02-07T16:54:06Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ca6dbe3b2460a050ee23fb1a6bfb8151efaefe7664106f5027fd64d010342860","abstract_canon_sha256":"21bf1fc6710cb9fbecb735f263e56765e6ea81fe3a5c393b43474cb6405c2789"},"schema_version":"1.0"},"canonical_sha256":"ac0ce79ea671f0946706f9c936b206339220205664d2ba80625d553e258f6570","source":{"kind":"arxiv","id":"1202.1462","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1462","created_at":"2026-05-18T01:58:32Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1462v1","created_at":"2026-05-18T01:58:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1462","created_at":"2026-05-18T01:58:32Z"},{"alias_kind":"pith_short_12","alias_value":"VQGOPHVGOHYJ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VQGOPHVGOHYJIZYG","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VQGOPHVG","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:VQGOPHVGOHYJIZYG7HETNMQGGO","target":"record","payload":{"canonical_record":{"source":{"id":"1202.1462","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-02-07T16:54:06Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ca6dbe3b2460a050ee23fb1a6bfb8151efaefe7664106f5027fd64d010342860","abstract_canon_sha256":"21bf1fc6710cb9fbecb735f263e56765e6ea81fe3a5c393b43474cb6405c2789"},"schema_version":"1.0"},"canonical_sha256":"ac0ce79ea671f0946706f9c936b206339220205664d2ba80625d553e258f6570","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:32.845466Z","signature_b64":"Hsg79j7A+Rtq3QcPylyfWPYYz1Xeuey7BnJspIgm8vZLhmQtPGt6rMgZmLj5ARcnoQ9s7SJsO2ly8tOVjb9MBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac0ce79ea671f0946706f9c936b206339220205664d2ba80625d553e258f6570","last_reissued_at":"2026-05-18T01:58:32.844718Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:32.844718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.1462","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:58:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ESD2L9cRGZ9/WgvAcyggIj5ydPfFoSXFMiE2oyH0mrFgj3sDtL4DmQLn9bE/Cdd7Y0QgsUieVDmNJfGGwJq3CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:59:20.907000Z"},"content_sha256":"e7fabc4851e7acef31bb3560866af93899247b9b5a0992df2180fab803daf0ab","schema_version":"1.0","event_id":"sha256:e7fabc4851e7acef31bb3560866af93899247b9b5a0992df2180fab803daf0ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:VQGOPHVGOHYJIZYG7HETNMQGGO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Fr\\'ed\\'eric Mila, Louis-Paul Henry, Peter C. W. Holdsworth, Tommaso Roscilde","submitted_at":"2012-02-07T16:54:06Z","abstract_excerpt":"The ground state properties of the S=1/2 transverse-field Ising model on the checkerboard lattice are studied using linear spin wave theory. We consider the general case of different couplings between nearest neighbors (J1) and next-to-nearest neighbors (J2). In zero field the system displays a large degeneracy of the ground state, which is exponential in the system size (for J1=J2) or in the system's linear dimensions (for J2>J1). Quantum fluctuations induced by a transverse field are found to be unable to lift this degeneracy in favor of a classically ordered state at the harmonic level. Thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1462","kind":"arxiv","version":1},"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":"2026-05-18T01:58:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T9lGlbJ+uQViGwf3fxlgfQrOwYhffTS30LAMUWuymxEVJlavQVIj/3DJMq3j6hFGLvrN2uvpggqSmPMIZ5UXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:59:20.907351Z"},"content_sha256":"c5dd0bc50308472dbe2340356eb382e99064b815f822193ea61d250d0cdf56ad","schema_version":"1.0","event_id":"sha256:c5dd0bc50308472dbe2340356eb382e99064b815f822193ea61d250d0cdf56ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VQGOPHVGOHYJIZYG7HETNMQGGO/bundle.json","state_url":"https://pith.science/pith/VQGOPHVGOHYJIZYG7HETNMQGGO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VQGOPHVGOHYJIZYG7HETNMQGGO/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":"2026-06-28T17:59:20Z","links":{"resolver":"https://pith.science/pith/VQGOPHVGOHYJIZYG7HETNMQGGO","bundle":"https://pith.science/pith/VQGOPHVGOHYJIZYG7HETNMQGGO/bundle.json","state":"https://pith.science/pith/VQGOPHVGOHYJIZYG7HETNMQGGO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VQGOPHVGOHYJIZYG7HETNMQGGO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VQGOPHVGOHYJIZYG7HETNMQGGO","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":"21bf1fc6710cb9fbecb735f263e56765e6ea81fe3a5c393b43474cb6405c2789","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-02-07T16:54:06Z","title_canon_sha256":"ca6dbe3b2460a050ee23fb1a6bfb8151efaefe7664106f5027fd64d010342860"},"schema_version":"1.0","source":{"id":"1202.1462","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1462","created_at":"2026-05-18T01:58:32Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1462v1","created_at":"2026-05-18T01:58:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1462","created_at":"2026-05-18T01:58:32Z"},{"alias_kind":"pith_short_12","alias_value":"VQGOPHVGOHYJ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VQGOPHVGOHYJIZYG","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VQGOPHVG","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:c5dd0bc50308472dbe2340356eb382e99064b815f822193ea61d250d0cdf56ad","target":"graph","created_at":"2026-05-18T01:58:32Z","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 ground state properties of the S=1/2 transverse-field Ising model on the checkerboard lattice are studied using linear spin wave theory. We consider the general case of different couplings between nearest neighbors (J1) and next-to-nearest neighbors (J2). In zero field the system displays a large degeneracy of the ground state, which is exponential in the system size (for J1=J2) or in the system's linear dimensions (for J2>J1). Quantum fluctuations induced by a transverse field are found to be unable to lift this degeneracy in favor of a classically ordered state at the harmonic level. Thi","authors_text":"Fr\\'ed\\'eric Mila, Louis-Paul Henry, Peter C. W. Holdsworth, Tommaso Roscilde","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-02-07T16:54:06Z","title":"Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1462","kind":"arxiv","version":1},"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:e7fabc4851e7acef31bb3560866af93899247b9b5a0992df2180fab803daf0ab","target":"record","created_at":"2026-05-18T01:58:32Z","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":"21bf1fc6710cb9fbecb735f263e56765e6ea81fe3a5c393b43474cb6405c2789","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-02-07T16:54:06Z","title_canon_sha256":"ca6dbe3b2460a050ee23fb1a6bfb8151efaefe7664106f5027fd64d010342860"},"schema_version":"1.0","source":{"id":"1202.1462","kind":"arxiv","version":1}},"canonical_sha256":"ac0ce79ea671f0946706f9c936b206339220205664d2ba80625d553e258f6570","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac0ce79ea671f0946706f9c936b206339220205664d2ba80625d553e258f6570","first_computed_at":"2026-05-18T01:58:32.844718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:32.844718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hsg79j7A+Rtq3QcPylyfWPYYz1Xeuey7BnJspIgm8vZLhmQtPGt6rMgZmLj5ARcnoQ9s7SJsO2ly8tOVjb9MBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:32.845466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.1462","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7fabc4851e7acef31bb3560866af93899247b9b5a0992df2180fab803daf0ab","sha256:c5dd0bc50308472dbe2340356eb382e99064b815f822193ea61d250d0cdf56ad"],"state_sha256":"ce75a5a0e70242af984e39fb761a9b9709c05b4945c5a44f604285fc9b4ac52e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yVUK0Ko6O7LstparjozercLdpeLfIfNikcRAGxDnq6lELau7y4Nh7inehTADx/aoLyQm+NT1x/o7m319ungvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T17:59:20.910042Z","bundle_sha256":"02f7346ed246907db6ed4e7872dcb7158629fba363a60aa96e4b31dfa555128a"}}