{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KDOK7VB7GG3SDRHVUI7ZO67ERC","short_pith_number":"pith:KDOK7VB7","canonical_record":{"source":{"id":"1609.01121","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-09-05T12:10:34Z","cross_cats_sorted":[],"title_canon_sha256":"3c5e25f2c902e81d44f06fe8d2b3da56e889b1c8da7de37878f06236df15bb78","abstract_canon_sha256":"848b7a878701597697600687c900bf7f307ea485e83831761967c28369226ba9"},"schema_version":"1.0"},"canonical_sha256":"50dcafd43f31b721c4f5a23f977be488b76c0178f1e4198bb3b53c4754ae540d","source":{"kind":"arxiv","id":"1609.01121","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01121","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01121v2","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01121","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"KDOK7VB7GG3S","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KDOK7VB7GG3SDRHV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KDOK7VB7","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KDOK7VB7GG3SDRHVUI7ZO67ERC","target":"record","payload":{"canonical_record":{"source":{"id":"1609.01121","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-09-05T12:10:34Z","cross_cats_sorted":[],"title_canon_sha256":"3c5e25f2c902e81d44f06fe8d2b3da56e889b1c8da7de37878f06236df15bb78","abstract_canon_sha256":"848b7a878701597697600687c900bf7f307ea485e83831761967c28369226ba9"},"schema_version":"1.0"},"canonical_sha256":"50dcafd43f31b721c4f5a23f977be488b76c0178f1e4198bb3b53c4754ae540d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:51.332331Z","signature_b64":"qzSv0IftrWW4U0N7oaCDqkriqmoN1H5XTtGCZf9Xmx1VyClnF8/IAKTTWcJTqpvhsk83qL+fcMiWQpjzyolFCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50dcafd43f31b721c4f5a23f977be488b76c0178f1e4198bb3b53c4754ae540d","last_reissued_at":"2026-05-18T00:41:51.331832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:51.331832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.01121","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":"2026-05-18T00:41:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+wzAcgda8ZJmE91qppIh2h0820o9JYS3wtYgCYdIvRYtts3qJrk39XRWxoy1KkM7wsCiP5I3RBuD//D2jzU9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:29:34.991114Z"},"content_sha256":"5f7ef5343e5a0a788e5d6feb34300190dcd227553e268aa01e6589eb0c266ea4","schema_version":"1.0","event_id":"sha256:5f7ef5343e5a0a788e5d6feb34300190dcd227553e268aa01e6589eb0c266ea4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KDOK7VB7GG3SDRHVUI7ZO67ERC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multifractality of eigenstates in the delocalized non-ergodic phase of some random matrix models : Wigner-Weisskopf approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Cecile Monthus","submitted_at":"2016-09-05T12:10:34Z","abstract_excerpt":"The delocalized non-ergodic phase existing in some random $N \\times N$ matrix models is analyzed via the Wigner-Weisskopf approximation for the dynamics from an initial site $j_0$. The main output of this approach is the inverse $\\Gamma_{j_0}(N)$ of the characteristic time to leave the state $j_0$ that provides some broadening $\\Gamma_{j_0}(N) $ for the weights of the eigenvectors. In this framework, the localized phase corresponds to the region where the broadening $\\Gamma_{j_0}(N) $ is smaller in scaling than the level spacing $\\Delta_{j_0}(N) \\propto \\frac{1}{N}$, while the delocalized non-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01121","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":"2026-05-18T00:41:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ISMeDkqNPqdVwRbgXF1FXCCspWin76NJTSYGjOGOoYI+aJ46Z4mut+ryFAF09G/6khq+G6fixXeKzKrQ1QylBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:29:34.991478Z"},"content_sha256":"593ccd8f3edaad8211472956ee8e5fdfa2b998bee76678ea4cec421012177a1a","schema_version":"1.0","event_id":"sha256:593ccd8f3edaad8211472956ee8e5fdfa2b998bee76678ea4cec421012177a1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KDOK7VB7GG3SDRHVUI7ZO67ERC/bundle.json","state_url":"https://pith.science/pith/KDOK7VB7GG3SDRHVUI7ZO67ERC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KDOK7VB7GG3SDRHVUI7ZO67ERC/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":"2026-06-04T21:29:34Z","links":{"resolver":"https://pith.science/pith/KDOK7VB7GG3SDRHVUI7ZO67ERC","bundle":"https://pith.science/pith/KDOK7VB7GG3SDRHVUI7ZO67ERC/bundle.json","state":"https://pith.science/pith/KDOK7VB7GG3SDRHVUI7ZO67ERC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KDOK7VB7GG3SDRHVUI7ZO67ERC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KDOK7VB7GG3SDRHVUI7ZO67ERC","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":"848b7a878701597697600687c900bf7f307ea485e83831761967c28369226ba9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-09-05T12:10:34Z","title_canon_sha256":"3c5e25f2c902e81d44f06fe8d2b3da56e889b1c8da7de37878f06236df15bb78"},"schema_version":"1.0","source":{"id":"1609.01121","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01121","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01121v2","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01121","created_at":"2026-05-18T00:41:51Z"},{"alias_kind":"pith_short_12","alias_value":"KDOK7VB7GG3S","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KDOK7VB7GG3SDRHV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KDOK7VB7","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:593ccd8f3edaad8211472956ee8e5fdfa2b998bee76678ea4cec421012177a1a","target":"graph","created_at":"2026-05-18T00:41:51Z","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 delocalized non-ergodic phase existing in some random $N \\times N$ matrix models is analyzed via the Wigner-Weisskopf approximation for the dynamics from an initial site $j_0$. The main output of this approach is the inverse $\\Gamma_{j_0}(N)$ of the characteristic time to leave the state $j_0$ that provides some broadening $\\Gamma_{j_0}(N) $ for the weights of the eigenvectors. In this framework, the localized phase corresponds to the region where the broadening $\\Gamma_{j_0}(N) $ is smaller in scaling than the level spacing $\\Delta_{j_0}(N) \\propto \\frac{1}{N}$, while the delocalized non-","authors_text":"Cecile Monthus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-09-05T12:10:34Z","title":"Multifractality of eigenstates in the delocalized non-ergodic phase of some random matrix models : Wigner-Weisskopf approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01121","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":"sha256:5f7ef5343e5a0a788e5d6feb34300190dcd227553e268aa01e6589eb0c266ea4","target":"record","created_at":"2026-05-18T00:41:51Z","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":"848b7a878701597697600687c900bf7f307ea485e83831761967c28369226ba9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-09-05T12:10:34Z","title_canon_sha256":"3c5e25f2c902e81d44f06fe8d2b3da56e889b1c8da7de37878f06236df15bb78"},"schema_version":"1.0","source":{"id":"1609.01121","kind":"arxiv","version":2}},"canonical_sha256":"50dcafd43f31b721c4f5a23f977be488b76c0178f1e4198bb3b53c4754ae540d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50dcafd43f31b721c4f5a23f977be488b76c0178f1e4198bb3b53c4754ae540d","first_computed_at":"2026-05-18T00:41:51.331832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:51.331832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qzSv0IftrWW4U0N7oaCDqkriqmoN1H5XTtGCZf9Xmx1VyClnF8/IAKTTWcJTqpvhsk83qL+fcMiWQpjzyolFCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:51.332331Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.01121","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f7ef5343e5a0a788e5d6feb34300190dcd227553e268aa01e6589eb0c266ea4","sha256:593ccd8f3edaad8211472956ee8e5fdfa2b998bee76678ea4cec421012177a1a"],"state_sha256":"eb7ff548e484225ded366cff726db0aec7457ba0a6743487ca23d1da240d9d05"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dcPSJ0oUXsjzsWr/K/PWhWMB6AVGLJVHvs4mFSYQZB7GARe7LBPg2iGBhWtfItWvIaRcCqeHJNfYvOjhIuzhBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T21:29:34.993519Z","bundle_sha256":"1deab760e0ee93900e3374225f00316941339691d63557b995d02e0432258439"}}