{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OXWBDJH4INIKUAELORKMNTTL56","short_pith_number":"pith:OXWBDJH4","canonical_record":{"source":{"id":"1006.5767","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-30T04:47:14Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"d3b92beae1810eb3287d37c44a5f69191c7f7dad125e324d45c4ffa5141dd653","abstract_canon_sha256":"10e614a53b9da0f4085e58b957ec0c0d08b82bedc8e01bc9855399e1e78cef52"},"schema_version":"1.0"},"canonical_sha256":"75ec11a4fc4350aa008b7454c6ce6befb8a1fd694a6ecd5cfdcfb648ba44950b","source":{"kind":"arxiv","id":"1006.5767","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5767","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5767v1","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5767","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"pith_short_12","alias_value":"OXWBDJH4INIK","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OXWBDJH4INIKUAEL","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OXWBDJH4","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OXWBDJH4INIKUAELORKMNTTL56","target":"record","payload":{"canonical_record":{"source":{"id":"1006.5767","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-30T04:47:14Z","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"title_canon_sha256":"d3b92beae1810eb3287d37c44a5f69191c7f7dad125e324d45c4ffa5141dd653","abstract_canon_sha256":"10e614a53b9da0f4085e58b957ec0c0d08b82bedc8e01bc9855399e1e78cef52"},"schema_version":"1.0"},"canonical_sha256":"75ec11a4fc4350aa008b7454c6ce6befb8a1fd694a6ecd5cfdcfb648ba44950b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:48.276960Z","signature_b64":"c9dsmfYjIoStfKvLVpdSrGoA37hLHZFfbS3wv7yiBvtchSxxMoyLGoIbTAEvbCE94gruZVlTOZkxFwpdU30mDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75ec11a4fc4350aa008b7454c6ce6befb8a1fd694a6ecd5cfdcfb648ba44950b","last_reissued_at":"2026-05-18T03:23:48.276495Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:48.276495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.5767","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":"2026-05-18T03:23:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zOwhikvA6FVW0BKp1Rgt418/+6PVjeztRG5tu6k1pElAXYNB2Wm7m8JtSYm3esIOmr7CkPXnI8cGoyANB4kcAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:21:01.979494Z"},"content_sha256":"353a12e75ae8277aeeb9b3034e8434cc69533e153fa46c91ff15a5aeba02ace2","schema_version":"1.0","event_id":"sha256:353a12e75ae8277aeeb9b3034e8434cc69533e153fa46c91ff15a5aeba02ace2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OXWBDJH4INIKUAELORKMNTTL56","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Superconductor-Insulator transition and energy localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","quant-ph"],"primary_cat":"cond-mat.supr-con","authors_text":"L.B. Ioffe, M. M\\'ezard, M.V. Feigel'man","submitted_at":"2010-06-30T04:47:14Z","abstract_excerpt":"We develop an analytical theory for generic disorder-driven quantum phase transitions. We apply this formalism to the superconductor-insulator transition and we briefly discuss the applications to the order-disorder transition in quantum magnets. The effective spin-1/2 models for these transitions are solved in the cavity approximation which becomes exact on a Bethe lattice with large branching number K >> 1 and weak dimensionless coupling g << 1. The characteristic features of the low temperature phase is a large self-formed inhomogeneity of the order-parameter distribution near the critical "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5767","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":"2026-05-18T03:23:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jgwBiDLY5H38u6436CvVkfOdyzWBGGOVQEKmRHn8x7g37vwZEpo7tMHv4UAH/LyNP/ygKj8EomMwVEYeBU9XCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:21:01.979845Z"},"content_sha256":"afb4bfc9c623b1ec9e3b9ca8183f78db24ee703ebc2080f63b00b99a788d0eaf","schema_version":"1.0","event_id":"sha256:afb4bfc9c623b1ec9e3b9ca8183f78db24ee703ebc2080f63b00b99a788d0eaf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OXWBDJH4INIKUAELORKMNTTL56/bundle.json","state_url":"https://pith.science/pith/OXWBDJH4INIKUAELORKMNTTL56/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OXWBDJH4INIKUAELORKMNTTL56/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":"2026-07-02T04:21:01Z","links":{"resolver":"https://pith.science/pith/OXWBDJH4INIKUAELORKMNTTL56","bundle":"https://pith.science/pith/OXWBDJH4INIKUAELORKMNTTL56/bundle.json","state":"https://pith.science/pith/OXWBDJH4INIKUAELORKMNTTL56/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OXWBDJH4INIKUAELORKMNTTL56/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OXWBDJH4INIKUAELORKMNTTL56","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":"10e614a53b9da0f4085e58b957ec0c0d08b82bedc8e01bc9855399e1e78cef52","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-30T04:47:14Z","title_canon_sha256":"d3b92beae1810eb3287d37c44a5f69191c7f7dad125e324d45c4ffa5141dd653"},"schema_version":"1.0","source":{"id":"1006.5767","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5767","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5767v1","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5767","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"pith_short_12","alias_value":"OXWBDJH4INIK","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OXWBDJH4INIKUAEL","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OXWBDJH4","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:afb4bfc9c623b1ec9e3b9ca8183f78db24ee703ebc2080f63b00b99a788d0eaf","target":"graph","created_at":"2026-05-18T03:23:48Z","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 develop an analytical theory for generic disorder-driven quantum phase transitions. We apply this formalism to the superconductor-insulator transition and we briefly discuss the applications to the order-disorder transition in quantum magnets. The effective spin-1/2 models for these transitions are solved in the cavity approximation which becomes exact on a Bethe lattice with large branching number K >> 1 and weak dimensionless coupling g << 1. The characteristic features of the low temperature phase is a large self-formed inhomogeneity of the order-parameter distribution near the critical ","authors_text":"L.B. Ioffe, M. M\\'ezard, M.V. Feigel'man","cross_cats":["cond-mat.dis-nn","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-30T04:47:14Z","title":"Superconductor-Insulator transition and energy localization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5767","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":"sha256:353a12e75ae8277aeeb9b3034e8434cc69533e153fa46c91ff15a5aeba02ace2","target":"record","created_at":"2026-05-18T03:23:48Z","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":"10e614a53b9da0f4085e58b957ec0c0d08b82bedc8e01bc9855399e1e78cef52","cross_cats_sorted":["cond-mat.dis-nn","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-30T04:47:14Z","title_canon_sha256":"d3b92beae1810eb3287d37c44a5f69191c7f7dad125e324d45c4ffa5141dd653"},"schema_version":"1.0","source":{"id":"1006.5767","kind":"arxiv","version":1}},"canonical_sha256":"75ec11a4fc4350aa008b7454c6ce6befb8a1fd694a6ecd5cfdcfb648ba44950b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75ec11a4fc4350aa008b7454c6ce6befb8a1fd694a6ecd5cfdcfb648ba44950b","first_computed_at":"2026-05-18T03:23:48.276495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:48.276495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c9dsmfYjIoStfKvLVpdSrGoA37hLHZFfbS3wv7yiBvtchSxxMoyLGoIbTAEvbCE94gruZVlTOZkxFwpdU30mDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:48.276960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.5767","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:353a12e75ae8277aeeb9b3034e8434cc69533e153fa46c91ff15a5aeba02ace2","sha256:afb4bfc9c623b1ec9e3b9ca8183f78db24ee703ebc2080f63b00b99a788d0eaf"],"state_sha256":"05a1019f5acd83e2562bc4f9f2755b266a11e28f14d19db5effc0985e81646ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"090asHO/BLvRi0x9aEvJsvm/rv+sXGTbUTZ1rzUgghf6V97dT+60B8oq6Lf+hFF5AZvUHExOYbCdyEisvlfDCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T04:21:01.981862Z","bundle_sha256":"7bee4ce4dba24bb79007b777d71c68f4bdba6f59f24b3730511b4a7d41a19d7d"}}