{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QVXEFR3DZAKVBYMP236J2A2NTH","short_pith_number":"pith:QVXEFR3D","canonical_record":{"source":{"id":"1409.8459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-30T10:11:15Z","cross_cats_sorted":[],"title_canon_sha256":"ea450adc144f703b59562b61398e84e1c6400fc7bec9e4fb2188c0fd75f4877c","abstract_canon_sha256":"ab841e9aca90be8e32b3eb1953ce3fb2af5940f7cf375aaaeaaa8377fda0afb4"},"schema_version":"1.0"},"canonical_sha256":"856e42c763c81550e18fd6fc9d034d99e52728aeb08498236847abd87cf2c6a4","source":{"kind":"arxiv","id":"1409.8459","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.8459","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"arxiv_version","alias_value":"1409.8459v2","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.8459","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"pith_short_12","alias_value":"QVXEFR3DZAKV","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QVXEFR3DZAKVBYMP","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QVXEFR3D","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QVXEFR3DZAKVBYMP236J2A2NTH","target":"record","payload":{"canonical_record":{"source":{"id":"1409.8459","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-30T10:11:15Z","cross_cats_sorted":[],"title_canon_sha256":"ea450adc144f703b59562b61398e84e1c6400fc7bec9e4fb2188c0fd75f4877c","abstract_canon_sha256":"ab841e9aca90be8e32b3eb1953ce3fb2af5940f7cf375aaaeaaa8377fda0afb4"},"schema_version":"1.0"},"canonical_sha256":"856e42c763c81550e18fd6fc9d034d99e52728aeb08498236847abd87cf2c6a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:10.579657Z","signature_b64":"PrkUwCMie39fqWb/zA41+/uVh3/J32AOELdnUsQl69wLBMPjPAHXNfN+aqNhIJfSfVmnMayLra6ABZUg5YdODQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"856e42c763c81550e18fd6fc9d034d99e52728aeb08498236847abd87cf2c6a4","last_reissued_at":"2026-05-18T02:29:10.578952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:10.578952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.8459","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":"2026-05-18T02:29:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JL+W0a7MXRuwLI0ZOzFigOdCfRhVWIt7FDNuFHDaamUQx9gWmCLG4RYg9IGB6GhiSjfnXUaGL+NiyZTHYkMUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:24:03.448153Z"},"content_sha256":"d81acf28ea235645c0515cd3ca2024421f5d988067a5f639994db948ce220057","schema_version":"1.0","event_id":"sha256:d81acf28ea235645c0515cd3ca2024421f5d988067a5f639994db948ce220057"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QVXEFR3DZAKVBYMP236J2A2NTH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Block Renormalization for quantum Ising models in dimension $d=2$ : applications to the pure and random ferromagnet, and to the spin-glass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Cecile Monthus","submitted_at":"2014-09-30T10:11:15Z","abstract_excerpt":"For the quantum Ising chain, the self-dual block renormalization procedure of Fernandez-Pacheco [Phys. Rev. D 19, 3173 (1979)] is known to reproduce exactly the location of the zero-temperature critical point and the correlation length exponent $\\nu=1$. Recently, Miyazaki and Nishimori [Phys. Rev. E 87, 032154 (2013)] have proposed to study the disordered quantum Ising model in dimensions $d>1$ by applying the Fernandez-Pacheco procedure successively in each direction. To avoid the inequivalence of directions of their approach, we propose here an alternative procedure where the $d$ directions "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.8459","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":"2026-05-18T02:29:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gM6hzSTyg5ceFGAdpxwje5aAup1FbJFRZHVn+hdiXt4ZbE1jeGJlTaQxHJZZFlmkzimc7w30rnfH6niYv/N/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:24:03.448546Z"},"content_sha256":"80a94d2ac33c45cc2b03ce62ffd0a11e45db18ff754c3b9bb21698907c513bb1","schema_version":"1.0","event_id":"sha256:80a94d2ac33c45cc2b03ce62ffd0a11e45db18ff754c3b9bb21698907c513bb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QVXEFR3DZAKVBYMP236J2A2NTH/bundle.json","state_url":"https://pith.science/pith/QVXEFR3DZAKVBYMP236J2A2NTH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QVXEFR3DZAKVBYMP236J2A2NTH/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":"2026-06-04T15:24:03Z","links":{"resolver":"https://pith.science/pith/QVXEFR3DZAKVBYMP236J2A2NTH","bundle":"https://pith.science/pith/QVXEFR3DZAKVBYMP236J2A2NTH/bundle.json","state":"https://pith.science/pith/QVXEFR3DZAKVBYMP236J2A2NTH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QVXEFR3DZAKVBYMP236J2A2NTH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QVXEFR3DZAKVBYMP236J2A2NTH","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":"ab841e9aca90be8e32b3eb1953ce3fb2af5940f7cf375aaaeaaa8377fda0afb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-30T10:11:15Z","title_canon_sha256":"ea450adc144f703b59562b61398e84e1c6400fc7bec9e4fb2188c0fd75f4877c"},"schema_version":"1.0","source":{"id":"1409.8459","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.8459","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"arxiv_version","alias_value":"1409.8459v2","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.8459","created_at":"2026-05-18T02:29:10Z"},{"alias_kind":"pith_short_12","alias_value":"QVXEFR3DZAKV","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QVXEFR3DZAKVBYMP","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QVXEFR3D","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:80a94d2ac33c45cc2b03ce62ffd0a11e45db18ff754c3b9bb21698907c513bb1","target":"graph","created_at":"2026-05-18T02:29:10Z","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":"For the quantum Ising chain, the self-dual block renormalization procedure of Fernandez-Pacheco [Phys. Rev. D 19, 3173 (1979)] is known to reproduce exactly the location of the zero-temperature critical point and the correlation length exponent $\\nu=1$. Recently, Miyazaki and Nishimori [Phys. Rev. E 87, 032154 (2013)] have proposed to study the disordered quantum Ising model in dimensions $d>1$ by applying the Fernandez-Pacheco procedure successively in each direction. To avoid the inequivalence of directions of their approach, we propose here an alternative procedure where the $d$ directions ","authors_text":"Cecile Monthus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-30T10:11:15Z","title":"Block Renormalization for quantum Ising models in dimension $d=2$ : applications to the pure and random ferromagnet, and to the spin-glass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.8459","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:d81acf28ea235645c0515cd3ca2024421f5d988067a5f639994db948ce220057","target":"record","created_at":"2026-05-18T02:29:10Z","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":"ab841e9aca90be8e32b3eb1953ce3fb2af5940f7cf375aaaeaaa8377fda0afb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-09-30T10:11:15Z","title_canon_sha256":"ea450adc144f703b59562b61398e84e1c6400fc7bec9e4fb2188c0fd75f4877c"},"schema_version":"1.0","source":{"id":"1409.8459","kind":"arxiv","version":2}},"canonical_sha256":"856e42c763c81550e18fd6fc9d034d99e52728aeb08498236847abd87cf2c6a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"856e42c763c81550e18fd6fc9d034d99e52728aeb08498236847abd87cf2c6a4","first_computed_at":"2026-05-18T02:29:10.578952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:10.578952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PrkUwCMie39fqWb/zA41+/uVh3/J32AOELdnUsQl69wLBMPjPAHXNfN+aqNhIJfSfVmnMayLra6ABZUg5YdODQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:10.579657Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.8459","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d81acf28ea235645c0515cd3ca2024421f5d988067a5f639994db948ce220057","sha256:80a94d2ac33c45cc2b03ce62ffd0a11e45db18ff754c3b9bb21698907c513bb1"],"state_sha256":"9a8337210038ea125ba1f4c4451015f68eb1bc11cb306155d619be184808dce7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cvXP/RR1F2Q74U1rUgGTFO8OoIC4cCe5zva37VSIqjE+jsoCW/Gi5rgqKyHXr6+EKfZdAihov4UxIWwiI98ZBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T15:24:03.450838Z","bundle_sha256":"0e515b7dbacbc1e0a6b53acb323d7b0937b5dbc04f3e3336f4c85665cb5d7db5"}}