{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JJWDFEKAHNTUCX32ZEFC37FFEL","short_pith_number":"pith:JJWDFEKA","canonical_record":{"source":{"id":"1412.3715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-11T16:38:46Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"37a7e75e36355b7f882e5a1aa1fdea8194000dea49e7f61e4e776e5d6c36635a","abstract_canon_sha256":"3082bea75df604ebb0f677263caf41f4b9c119e467827d70b3046fbaaaa18406"},"schema_version":"1.0"},"canonical_sha256":"4a6c3291403b67415f7ac90a2dfca522fc640a3981ea97ea9c6f218804318106","source":{"kind":"arxiv","id":"1412.3715","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3715","created_at":"2026-05-18T01:31:18Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3715v1","created_at":"2026-05-18T01:31:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3715","created_at":"2026-05-18T01:31:18Z"},{"alias_kind":"pith_short_12","alias_value":"JJWDFEKAHNTU","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JJWDFEKAHNTUCX32","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JJWDFEKA","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JJWDFEKAHNTUCX32ZEFC37FFEL","target":"record","payload":{"canonical_record":{"source":{"id":"1412.3715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-11T16:38:46Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"37a7e75e36355b7f882e5a1aa1fdea8194000dea49e7f61e4e776e5d6c36635a","abstract_canon_sha256":"3082bea75df604ebb0f677263caf41f4b9c119e467827d70b3046fbaaaa18406"},"schema_version":"1.0"},"canonical_sha256":"4a6c3291403b67415f7ac90a2dfca522fc640a3981ea97ea9c6f218804318106","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:18.983725Z","signature_b64":"6f9hyNHsY6QcHSGWCNRyCBH//cZiCKUe+3MDrJg9Gc0gNhjFvvpeCEpMBcZdGU0V7BUJB0gJxaatfr1OD4iBBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a6c3291403b67415f7ac90a2dfca522fc640a3981ea97ea9c6f218804318106","last_reissued_at":"2026-05-18T01:31:18.983223Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:18.983223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.3715","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":"2026-05-18T01:31:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lbs8vUZJ98BrzShLfG0/quvJlHr5hmHBHeEw5863o8jZSo5Tvt28lHkPg0wc8/zByW45EKyEHEvNMMNp8lijBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:27:35.567245Z"},"content_sha256":"10c418bf29ffdd7aa08978e3151cf7ee3f03314875c75adfab565ba5d3d57de7","schema_version":"1.0","event_id":"sha256:10c418bf29ffdd7aa08978e3151cf7ee3f03314875c75adfab565ba5d3d57de7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JJWDFEKAHNTUCX32ZEFC37FFEL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite temperature crossovers in periodic disordered systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Laura Foini, Thierry Giamarchi","submitted_at":"2014-12-11T16:38:46Z","abstract_excerpt":"We consider the static properties of periodic structures in weak random disorder. We apply a functional renormalization group approach (FRG) and a Gaussian variational method (GVM) to study their displacement correlations. We focus in particular on the effects of temperature and we compute explicitly the crossover length scales separating different regimes in the displacement correlation function. To do so using the FRG we introduce a functional form that approximate very accurately the flow of the disorder correlator at all scales. We compare the FRG and GVM results and find excellent agreeme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3715","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":"2026-05-18T01:31:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OlfVfEnt1v1rVdpbThJTg+RlTqoocg1pwOOUgyXzFT6gMW1KrjEzPjRLrDvdw0z+z0ujqI2ji451w5pCnUuoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:27:35.567774Z"},"content_sha256":"2b5fb1e6ce53238eb53011e387cee0f59d91893334d4ee2b65dd64a831f3744b","schema_version":"1.0","event_id":"sha256:2b5fb1e6ce53238eb53011e387cee0f59d91893334d4ee2b65dd64a831f3744b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JJWDFEKAHNTUCX32ZEFC37FFEL/bundle.json","state_url":"https://pith.science/pith/JJWDFEKAHNTUCX32ZEFC37FFEL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JJWDFEKAHNTUCX32ZEFC37FFEL/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":"2026-05-30T02:27:35Z","links":{"resolver":"https://pith.science/pith/JJWDFEKAHNTUCX32ZEFC37FFEL","bundle":"https://pith.science/pith/JJWDFEKAHNTUCX32ZEFC37FFEL/bundle.json","state":"https://pith.science/pith/JJWDFEKAHNTUCX32ZEFC37FFEL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JJWDFEKAHNTUCX32ZEFC37FFEL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JJWDFEKAHNTUCX32ZEFC37FFEL","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":"3082bea75df604ebb0f677263caf41f4b9c119e467827d70b3046fbaaaa18406","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-11T16:38:46Z","title_canon_sha256":"37a7e75e36355b7f882e5a1aa1fdea8194000dea49e7f61e4e776e5d6c36635a"},"schema_version":"1.0","source":{"id":"1412.3715","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.3715","created_at":"2026-05-18T01:31:18Z"},{"alias_kind":"arxiv_version","alias_value":"1412.3715v1","created_at":"2026-05-18T01:31:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3715","created_at":"2026-05-18T01:31:18Z"},{"alias_kind":"pith_short_12","alias_value":"JJWDFEKAHNTU","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JJWDFEKAHNTUCX32","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JJWDFEKA","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:2b5fb1e6ce53238eb53011e387cee0f59d91893334d4ee2b65dd64a831f3744b","target":"graph","created_at":"2026-05-18T01:31:18Z","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 consider the static properties of periodic structures in weak random disorder. We apply a functional renormalization group approach (FRG) and a Gaussian variational method (GVM) to study their displacement correlations. We focus in particular on the effects of temperature and we compute explicitly the crossover length scales separating different regimes in the displacement correlation function. To do so using the FRG we introduce a functional form that approximate very accurately the flow of the disorder correlator at all scales. We compare the FRG and GVM results and find excellent agreeme","authors_text":"Laura Foini, Thierry Giamarchi","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-11T16:38:46Z","title":"Finite temperature crossovers in periodic disordered systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3715","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":"sha256:10c418bf29ffdd7aa08978e3151cf7ee3f03314875c75adfab565ba5d3d57de7","target":"record","created_at":"2026-05-18T01:31:18Z","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":"3082bea75df604ebb0f677263caf41f4b9c119e467827d70b3046fbaaaa18406","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-12-11T16:38:46Z","title_canon_sha256":"37a7e75e36355b7f882e5a1aa1fdea8194000dea49e7f61e4e776e5d6c36635a"},"schema_version":"1.0","source":{"id":"1412.3715","kind":"arxiv","version":1}},"canonical_sha256":"4a6c3291403b67415f7ac90a2dfca522fc640a3981ea97ea9c6f218804318106","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a6c3291403b67415f7ac90a2dfca522fc640a3981ea97ea9c6f218804318106","first_computed_at":"2026-05-18T01:31:18.983223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:18.983223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6f9hyNHsY6QcHSGWCNRyCBH//cZiCKUe+3MDrJg9Gc0gNhjFvvpeCEpMBcZdGU0V7BUJB0gJxaatfr1OD4iBBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:18.983725Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.3715","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10c418bf29ffdd7aa08978e3151cf7ee3f03314875c75adfab565ba5d3d57de7","sha256:2b5fb1e6ce53238eb53011e387cee0f59d91893334d4ee2b65dd64a831f3744b"],"state_sha256":"1de69d4488b6381b46a3173a75037ee6b890cab071dadabfc72221e65c449f21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5mNSZyzYyL4Q9MRz6ECaodgtnso43OXn7sj4HcctiiLVGkqmP+3NgBjflNAj40Nx225QqFUdhdz9R2OLZmHQBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T02:27:35.571220Z","bundle_sha256":"2963ed5ce4eb028640f3b0817f44cc9a3e6b03ac30fc0f7f88e2b43bc9c91345"}}