{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JDUOQRWVCM737J4EGY2JG3AAVL","short_pith_number":"pith:JDUOQRWV","canonical_record":{"source":{"id":"1705.00756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-02T01:27:40Z","cross_cats_sorted":["cond-mat.dis-nn","math.MP","math.SP"],"title_canon_sha256":"6f87be072492d809b1f20fc78e80088dad293c76c22dd5a80094f4c45d09477d","abstract_canon_sha256":"5dc85a125dcfa014bdf513e18beb7c59b5b739bcc883217de3d09a1cd5892e80"},"schema_version":"1.0"},"canonical_sha256":"48e8e846d5133fbfa7843634936c00aafdcb17556cc29494216941fdb7479f6d","source":{"kind":"arxiv","id":"1705.00756","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00756","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00756v2","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00756","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"JDUOQRWVCM73","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JDUOQRWVCM737J4E","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JDUOQRWV","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JDUOQRWVCM737J4EGY2JG3AAVL","target":"record","payload":{"canonical_record":{"source":{"id":"1705.00756","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-02T01:27:40Z","cross_cats_sorted":["cond-mat.dis-nn","math.MP","math.SP"],"title_canon_sha256":"6f87be072492d809b1f20fc78e80088dad293c76c22dd5a80094f4c45d09477d","abstract_canon_sha256":"5dc85a125dcfa014bdf513e18beb7c59b5b739bcc883217de3d09a1cd5892e80"},"schema_version":"1.0"},"canonical_sha256":"48e8e846d5133fbfa7843634936c00aafdcb17556cc29494216941fdb7479f6d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:04.582675Z","signature_b64":"QVedE5rLKQPrQIFWc9jdKp6btmEgTtvN8UyDZWX7lpVFuxEkIxSJHaPjLqDjRLWBKFzwpJNeLvBPuJj7Vj0YBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48e8e846d5133fbfa7843634936c00aafdcb17556cc29494216941fdb7479f6d","last_reissued_at":"2026-05-18T00:30:04.582249Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:04.582249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.00756","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":"2026-05-18T00:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cDe1QCzlsotOVnw3uKqT189/J/h5ULeuXObCKcas59toFqSDD+FLwo6Hx9A/OfBZFWJ5BUKZ71EMu74wXc08Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:21:38.928453Z"},"content_sha256":"4bef1c04cf0b8e4ef829c1601c6b887161dd7a6c6b523f8c2241e7838f6bc1ef","schema_version":"1.0","event_id":"sha256:4bef1c04cf0b8e4ef829c1601c6b887161dd7a6c6b523f8c2241e7838f6bc1ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JDUOQRWVCM737J4EGY2JG3AAVL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Many-Body Localization: Stability and Instability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math.MP","math.SP"],"primary_cat":"math-ph","authors_text":"John Z. Imbrie, Wojciech De Roeck","submitted_at":"2017-05-02T01:27:40Z","abstract_excerpt":"Rare regions with weak disorder (Griffiths regions) have the potential to spoil localization. We describe a non-perturbative construction of local integrals of motion (LIOMs) for a weakly interacting spin chain in one dimension, under a physically reasonable assumption on the statistics of eigenvalues. We discuss ideas about the situation in higher dimensions, where one can no longer ensure that interactions involving the Griffiths regions are much smaller than the typical energy-level spacing for such regions. We argue that ergodicity is restored in dimension d > 1, although equilibration sho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00756","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":"2026-05-18T00:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SSr2ZJxYK1Bv+Pk1c5CaWJzq7ZtBtI14E1wn5lzdI271K0m+T6is5uDIeqysaNjiT1pIqlgL5vIcbqER+DovDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:21:38.928808Z"},"content_sha256":"e1e2bf75668bb74072afbc63d7e7873b50418a25232bbd16dc919ccca4edd56e","schema_version":"1.0","event_id":"sha256:e1e2bf75668bb74072afbc63d7e7873b50418a25232bbd16dc919ccca4edd56e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JDUOQRWVCM737J4EGY2JG3AAVL/bundle.json","state_url":"https://pith.science/pith/JDUOQRWVCM737J4EGY2JG3AAVL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JDUOQRWVCM737J4EGY2JG3AAVL/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":"2026-05-19T10:21:38Z","links":{"resolver":"https://pith.science/pith/JDUOQRWVCM737J4EGY2JG3AAVL","bundle":"https://pith.science/pith/JDUOQRWVCM737J4EGY2JG3AAVL/bundle.json","state":"https://pith.science/pith/JDUOQRWVCM737J4EGY2JG3AAVL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JDUOQRWVCM737J4EGY2JG3AAVL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JDUOQRWVCM737J4EGY2JG3AAVL","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":"5dc85a125dcfa014bdf513e18beb7c59b5b739bcc883217de3d09a1cd5892e80","cross_cats_sorted":["cond-mat.dis-nn","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-02T01:27:40Z","title_canon_sha256":"6f87be072492d809b1f20fc78e80088dad293c76c22dd5a80094f4c45d09477d"},"schema_version":"1.0","source":{"id":"1705.00756","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00756","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00756v2","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00756","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"JDUOQRWVCM73","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JDUOQRWVCM737J4E","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JDUOQRWV","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:e1e2bf75668bb74072afbc63d7e7873b50418a25232bbd16dc919ccca4edd56e","target":"graph","created_at":"2026-05-18T00:30:04Z","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":"Rare regions with weak disorder (Griffiths regions) have the potential to spoil localization. We describe a non-perturbative construction of local integrals of motion (LIOMs) for a weakly interacting spin chain in one dimension, under a physically reasonable assumption on the statistics of eigenvalues. We discuss ideas about the situation in higher dimensions, where one can no longer ensure that interactions involving the Griffiths regions are much smaller than the typical energy-level spacing for such regions. We argue that ergodicity is restored in dimension d > 1, although equilibration sho","authors_text":"John Z. Imbrie, Wojciech De Roeck","cross_cats":["cond-mat.dis-nn","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-02T01:27:40Z","title":"Many-Body Localization: Stability and Instability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00756","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":"sha256:4bef1c04cf0b8e4ef829c1601c6b887161dd7a6c6b523f8c2241e7838f6bc1ef","target":"record","created_at":"2026-05-18T00:30:04Z","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":"5dc85a125dcfa014bdf513e18beb7c59b5b739bcc883217de3d09a1cd5892e80","cross_cats_sorted":["cond-mat.dis-nn","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-02T01:27:40Z","title_canon_sha256":"6f87be072492d809b1f20fc78e80088dad293c76c22dd5a80094f4c45d09477d"},"schema_version":"1.0","source":{"id":"1705.00756","kind":"arxiv","version":2}},"canonical_sha256":"48e8e846d5133fbfa7843634936c00aafdcb17556cc29494216941fdb7479f6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48e8e846d5133fbfa7843634936c00aafdcb17556cc29494216941fdb7479f6d","first_computed_at":"2026-05-18T00:30:04.582249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:04.582249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QVedE5rLKQPrQIFWc9jdKp6btmEgTtvN8UyDZWX7lpVFuxEkIxSJHaPjLqDjRLWBKFzwpJNeLvBPuJj7Vj0YBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:04.582675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00756","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bef1c04cf0b8e4ef829c1601c6b887161dd7a6c6b523f8c2241e7838f6bc1ef","sha256:e1e2bf75668bb74072afbc63d7e7873b50418a25232bbd16dc919ccca4edd56e"],"state_sha256":"11490c9713e3857b1897b03f5a4d33022d1bf097cccefa4b02ce138f36949523"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s9Y1MA2dajRiJsLatZ/NabJbMSgOPoLu9EyeYERzkVbXEYTgxSHN4lzyFbCjvi8iq4+OdJN0U0cob/1tO7uyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T10:21:38.930462Z","bundle_sha256":"2a125a11f50afc097ee30839a0373fbdb76148af65a2c1e2af770bffb83880a3"}}