{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:EH6C7GOF7BC2DT76XLIGMDGWJM","short_pith_number":"pith:EH6C7GOF","canonical_record":{"source":{"id":"1601.04058","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-01-15T20:45:09Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"9a97c52a959a82dd5071d944f27a062469e3105ccfd21ef6548c53a7afeb7df0","abstract_canon_sha256":"4597de31a8737989f70538c33afd35ab80f08c24558a257780e7706a6f305c43"},"schema_version":"1.0"},"canonical_sha256":"21fc2f99c5f845a1cffebad0660cd64b019ada2873c525cbd98495178dc98821","source":{"kind":"arxiv","id":"1601.04058","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04058","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04058v2","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04058","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"pith_short_12","alias_value":"EH6C7GOF7BC2","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EH6C7GOF7BC2DT76","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EH6C7GOF","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:EH6C7GOF7BC2DT76XLIGMDGWJM","target":"record","payload":{"canonical_record":{"source":{"id":"1601.04058","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-01-15T20:45:09Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"9a97c52a959a82dd5071d944f27a062469e3105ccfd21ef6548c53a7afeb7df0","abstract_canon_sha256":"4597de31a8737989f70538c33afd35ab80f08c24558a257780e7706a6f305c43"},"schema_version":"1.0"},"canonical_sha256":"21fc2f99c5f845a1cffebad0660cd64b019ada2873c525cbd98495178dc98821","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:42.028945Z","signature_b64":"Md641g+7VcVs9hFS5rE73TK3J6Ye2YHIbKKaHjHo1YNsCXdoEu/fYUBYecQOexLdpB85x/hoevnKGlLpOIy7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21fc2f99c5f845a1cffebad0660cd64b019ada2873c525cbd98495178dc98821","last_reissued_at":"2026-05-18T01:17:42.028155Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:42.028155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.04058","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":"2026-05-18T01:17:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QZUfmCRefaU2xLLArGeIfFdiIXzJE/fcvgSyZi5i9yE7724rycNP7bPHDMgUiqB0jsjEAyBm2rQQqsCuNSv3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:42:20.676031Z"},"content_sha256":"9bb641527b2678644c3c1484976d9bd4be83ffa6f9cdedfb95b2d0796f89584d","schema_version":"1.0","event_id":"sha256:9bb641527b2678644c3c1484976d9bd4be83ffa6f9cdedfb95b2d0796f89584d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:EH6C7GOF7BC2DT76XLIGMDGWJM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Long tail distributions near the many body localization transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.dis-nn","authors_text":"David J. Luitz","submitted_at":"2016-01-15T20:45:09Z","abstract_excerpt":"The random field S=1/2 Heisenberg chain exhibits a dynamical many body localization transition at a critical disorder strength, which depends on the energy density. At weak disorder, the eigenstate thermalization hypothesis (ETH) is fulfilled on average, making local observables smooth functions of energy, whose eigenstate-to-eigenstate fluctuations decrease exponentially with system size. We demonstrate the validity of ETH in the thermal phase as well as its breakdown in the localized phase and show that rare states exist which do not strictly follow ETH, becoming more frequent closer to the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04058","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":"2026-05-18T01:17:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1l3jGbFH2B4f9wwoyO9N4XfcdHNGUwH1ZOyp9Wv+R5FuMP+5lYO3R2VMarOYRp5zZsgLOc8e2XlF7XNQrAP5Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:42:20.676719Z"},"content_sha256":"101335f9c16554baee525cb65914fd0c0b96379983d2cb03d245564bcd925962","schema_version":"1.0","event_id":"sha256:101335f9c16554baee525cb65914fd0c0b96379983d2cb03d245564bcd925962"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EH6C7GOF7BC2DT76XLIGMDGWJM/bundle.json","state_url":"https://pith.science/pith/EH6C7GOF7BC2DT76XLIGMDGWJM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EH6C7GOF7BC2DT76XLIGMDGWJM/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":"2026-06-07T16:42:20Z","links":{"resolver":"https://pith.science/pith/EH6C7GOF7BC2DT76XLIGMDGWJM","bundle":"https://pith.science/pith/EH6C7GOF7BC2DT76XLIGMDGWJM/bundle.json","state":"https://pith.science/pith/EH6C7GOF7BC2DT76XLIGMDGWJM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EH6C7GOF7BC2DT76XLIGMDGWJM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EH6C7GOF7BC2DT76XLIGMDGWJM","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":"4597de31a8737989f70538c33afd35ab80f08c24558a257780e7706a6f305c43","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-01-15T20:45:09Z","title_canon_sha256":"9a97c52a959a82dd5071d944f27a062469e3105ccfd21ef6548c53a7afeb7df0"},"schema_version":"1.0","source":{"id":"1601.04058","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04058","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04058v2","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04058","created_at":"2026-05-18T01:17:42Z"},{"alias_kind":"pith_short_12","alias_value":"EH6C7GOF7BC2","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EH6C7GOF7BC2DT76","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EH6C7GOF","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:101335f9c16554baee525cb65914fd0c0b96379983d2cb03d245564bcd925962","target":"graph","created_at":"2026-05-18T01:17:42Z","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":"The random field S=1/2 Heisenberg chain exhibits a dynamical many body localization transition at a critical disorder strength, which depends on the energy density. At weak disorder, the eigenstate thermalization hypothesis (ETH) is fulfilled on average, making local observables smooth functions of energy, whose eigenstate-to-eigenstate fluctuations decrease exponentially with system size. We demonstrate the validity of ETH in the thermal phase as well as its breakdown in the localized phase and show that rare states exist which do not strictly follow ETH, becoming more frequent closer to the ","authors_text":"David J. Luitz","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-01-15T20:45:09Z","title":"Long tail distributions near the many body localization transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04058","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":"sha256:9bb641527b2678644c3c1484976d9bd4be83ffa6f9cdedfb95b2d0796f89584d","target":"record","created_at":"2026-05-18T01:17:42Z","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":"4597de31a8737989f70538c33afd35ab80f08c24558a257780e7706a6f305c43","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-01-15T20:45:09Z","title_canon_sha256":"9a97c52a959a82dd5071d944f27a062469e3105ccfd21ef6548c53a7afeb7df0"},"schema_version":"1.0","source":{"id":"1601.04058","kind":"arxiv","version":2}},"canonical_sha256":"21fc2f99c5f845a1cffebad0660cd64b019ada2873c525cbd98495178dc98821","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21fc2f99c5f845a1cffebad0660cd64b019ada2873c525cbd98495178dc98821","first_computed_at":"2026-05-18T01:17:42.028155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:42.028155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Md641g+7VcVs9hFS5rE73TK3J6Ye2YHIbKKaHjHo1YNsCXdoEu/fYUBYecQOexLdpB85x/hoevnKGlLpOIy7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:42.028945Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04058","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bb641527b2678644c3c1484976d9bd4be83ffa6f9cdedfb95b2d0796f89584d","sha256:101335f9c16554baee525cb65914fd0c0b96379983d2cb03d245564bcd925962"],"state_sha256":"00bf2407ebdce6419e6bb6123e97bc44aee25a33b7960daecaf187f37b650534"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U6AGX3W1J0QTjF7EDHA1vz6xy7W1kv5NHySNwopeqdFnFCED9nFDfwQ3WyYznaD4mcLlbZM0A35HsVO97AKVAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:42:20.681008Z","bundle_sha256":"199102b8fc206f1539417abbaa1e8009136f39e3a62089afeb1c14626600f753"}}