{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QK2EIQY2ESRPNWCLVBM4Q7GIS4","short_pith_number":"pith:QK2EIQY2","canonical_record":{"source":{"id":"1204.1320","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-04-05T19:35:05Z","cross_cats_sorted":[],"title_canon_sha256":"228009de95b8438975b9314865bfd29a462140e40eaf49185bb6ed2a3f2fdfc4","abstract_canon_sha256":"c6fcf671e03b47956d3c5eaa80d282eefecc44485803720359248f7a4d6cbaa5"},"schema_version":"1.0"},"canonical_sha256":"82b444431a24a2f6d84ba859c87cc89714d201b9786cb76bc1a7161b4ac05c16","source":{"kind":"arxiv","id":"1204.1320","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1320","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1320v1","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1320","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"pith_short_12","alias_value":"QK2EIQY2ESRP","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QK2EIQY2ESRPNWCL","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QK2EIQY2","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QK2EIQY2ESRPNWCLVBM4Q7GIS4","target":"record","payload":{"canonical_record":{"source":{"id":"1204.1320","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-04-05T19:35:05Z","cross_cats_sorted":[],"title_canon_sha256":"228009de95b8438975b9314865bfd29a462140e40eaf49185bb6ed2a3f2fdfc4","abstract_canon_sha256":"c6fcf671e03b47956d3c5eaa80d282eefecc44485803720359248f7a4d6cbaa5"},"schema_version":"1.0"},"canonical_sha256":"82b444431a24a2f6d84ba859c87cc89714d201b9786cb76bc1a7161b4ac05c16","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:08.707897Z","signature_b64":"e34ttLU4+0ySlWCItPILCHdvCMhyIq8lG9d6BR2zFD0MolzOnsh0LagmhCLbteEqlcCRG5oMyD4GI/JFBa7ECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82b444431a24a2f6d84ba859c87cc89714d201b9786cb76bc1a7161b4ac05c16","last_reissued_at":"2026-05-18T03:37:08.707164Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:08.707164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.1320","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":"2026-05-18T03:37:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bXoLj8JvFIp2GwCkEIFVM/nB6ru+aRU4a3CmcxP4ljzUp3BDJXsdlU3yaUQ1ohxj/kJPtGH+Bu0iPXtMtSRjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:22:10.082554Z"},"content_sha256":"af9d56afdcdb1fac370921cbc5d42728c9fd72ee624c92f30080c0d94fbf507e","schema_version":"1.0","event_id":"sha256:af9d56afdcdb1fac370921cbc5d42728c9fd72ee624c92f30080c0d94fbf507e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QK2EIQY2ESRPNWCLVBM4Q7GIS4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Bruce D. Gaulin, Jacob P. C. Ruff, Kate A. Ross, Leon Balents, Lucile Savary","submitted_at":"2012-04-05T19:35:05Z","abstract_excerpt":"Here we establish the systematic existence of a U(1) degeneracy of all symmetry-allowed Hamiltonians quadratic in the spins on the pyrochlore lattice, at the mean-field level. By extracting the Hamiltonian of Er2Ti2O7 from inelastic neutron scattering measurements, we then show that the U(1)-degenerate states of Er2Ti2O7 are its classical ground states, and unambiguously show that quantum fluctuations break the degeneracy in a way which is confirmed by experiment. This is the first definitive observation of order-by-disorder in any material. We provide further verifiable consequences of this p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1320","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":"2026-05-18T03:37:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oLgIFfpBbIhSYGn3PHdur6wqb6LCtCBb6vKHJWX07fYwShPBvRhQGRxGgA9IEcNd5vUFiD8e1pEkmcF4RDQBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:22:10.083127Z"},"content_sha256":"57aeeeaad45d247ed17c9b3cb68221dd780b98a4bcfe20b6d6b5c95784c704ae","schema_version":"1.0","event_id":"sha256:57aeeeaad45d247ed17c9b3cb68221dd780b98a4bcfe20b6d6b5c95784c704ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QK2EIQY2ESRPNWCLVBM4Q7GIS4/bundle.json","state_url":"https://pith.science/pith/QK2EIQY2ESRPNWCLVBM4Q7GIS4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QK2EIQY2ESRPNWCLVBM4Q7GIS4/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":"2026-05-26T20:22:10Z","links":{"resolver":"https://pith.science/pith/QK2EIQY2ESRPNWCLVBM4Q7GIS4","bundle":"https://pith.science/pith/QK2EIQY2ESRPNWCLVBM4Q7GIS4/bundle.json","state":"https://pith.science/pith/QK2EIQY2ESRPNWCLVBM4Q7GIS4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QK2EIQY2ESRPNWCLVBM4Q7GIS4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QK2EIQY2ESRPNWCLVBM4Q7GIS4","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":"c6fcf671e03b47956d3c5eaa80d282eefecc44485803720359248f7a4d6cbaa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-04-05T19:35:05Z","title_canon_sha256":"228009de95b8438975b9314865bfd29a462140e40eaf49185bb6ed2a3f2fdfc4"},"schema_version":"1.0","source":{"id":"1204.1320","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.1320","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"arxiv_version","alias_value":"1204.1320v1","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.1320","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"pith_short_12","alias_value":"QK2EIQY2ESRP","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QK2EIQY2ESRPNWCL","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QK2EIQY2","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:57aeeeaad45d247ed17c9b3cb68221dd780b98a4bcfe20b6d6b5c95784c704ae","target":"graph","created_at":"2026-05-18T03:37:08Z","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":"Here we establish the systematic existence of a U(1) degeneracy of all symmetry-allowed Hamiltonians quadratic in the spins on the pyrochlore lattice, at the mean-field level. By extracting the Hamiltonian of Er2Ti2O7 from inelastic neutron scattering measurements, we then show that the U(1)-degenerate states of Er2Ti2O7 are its classical ground states, and unambiguously show that quantum fluctuations break the degeneracy in a way which is confirmed by experiment. This is the first definitive observation of order-by-disorder in any material. We provide further verifiable consequences of this p","authors_text":"Bruce D. Gaulin, Jacob P. C. Ruff, Kate A. Ross, Leon Balents, Lucile Savary","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-04-05T19:35:05Z","title":"Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.1320","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:af9d56afdcdb1fac370921cbc5d42728c9fd72ee624c92f30080c0d94fbf507e","target":"record","created_at":"2026-05-18T03:37:08Z","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":"c6fcf671e03b47956d3c5eaa80d282eefecc44485803720359248f7a4d6cbaa5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-04-05T19:35:05Z","title_canon_sha256":"228009de95b8438975b9314865bfd29a462140e40eaf49185bb6ed2a3f2fdfc4"},"schema_version":"1.0","source":{"id":"1204.1320","kind":"arxiv","version":1}},"canonical_sha256":"82b444431a24a2f6d84ba859c87cc89714d201b9786cb76bc1a7161b4ac05c16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82b444431a24a2f6d84ba859c87cc89714d201b9786cb76bc1a7161b4ac05c16","first_computed_at":"2026-05-18T03:37:08.707164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:08.707164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e34ttLU4+0ySlWCItPILCHdvCMhyIq8lG9d6BR2zFD0MolzOnsh0LagmhCLbteEqlcCRG5oMyD4GI/JFBa7ECQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:08.707897Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.1320","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af9d56afdcdb1fac370921cbc5d42728c9fd72ee624c92f30080c0d94fbf507e","sha256:57aeeeaad45d247ed17c9b3cb68221dd780b98a4bcfe20b6d6b5c95784c704ae"],"state_sha256":"b2be41e2290b5651cf6eb2db1ef12b30ec55ab9eb80b81b9e0a9b8cbaeb8f245"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2xBQ9ZWKwbpaWQC736ZEmELZYAIlpVk/497yyEL5aFLoW6kg5MxLQkRWf1YdF7gwu1zcezldST3lvMzzY4XzDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:22:10.086481Z","bundle_sha256":"7990ef61e9504e186818b7f036434c8125a6b9cc534bb2ba6648a1ec26d7346b"}}