{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:IKLER7J5NVOGVTYQ6JZT5IIK6W","short_pith_number":"pith:IKLER7J5","canonical_record":{"source":{"id":"1908.11388","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-29T18:00:04Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"d7a5d5c955c13e85af586b4850481b97afa261b00f55f3123f01c6bd2430d3af","abstract_canon_sha256":"8021575ce2cd71c7c1fc87dbd3e11a55c8c2bd5a43ec3581d5a4160e6beb465f"},"schema_version":"1.0"},"canonical_sha256":"429648fd3d6d5c6acf10f2733ea10af5aff3cb7ea63c3dd7144f944d8e652a9a","source":{"kind":"arxiv","id":"1908.11388","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.11388","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"arxiv_version","alias_value":"1908.11388v2","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.11388","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"pith_short_12","alias_value":"IKLER7J5NVOG","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"pith_short_16","alias_value":"IKLER7J5NVOGVTYQ","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"pith_short_8","alias_value":"IKLER7J5","created_at":"2026-07-05T00:46:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:IKLER7J5NVOGVTYQ6JZT5IIK6W","target":"record","payload":{"canonical_record":{"source":{"id":"1908.11388","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-29T18:00:04Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"d7a5d5c955c13e85af586b4850481b97afa261b00f55f3123f01c6bd2430d3af","abstract_canon_sha256":"8021575ce2cd71c7c1fc87dbd3e11a55c8c2bd5a43ec3581d5a4160e6beb465f"},"schema_version":"1.0"},"canonical_sha256":"429648fd3d6d5c6acf10f2733ea10af5aff3cb7ea63c3dd7144f944d8e652a9a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:46:48.196419Z","signature_b64":"pgg0IMpdjf4KX07dnoU4jIaiL4tR64+7/C0u1VDI+YwrY1UcfJpC4CfQNY9UJAg/HAcFYea4c3ssSXRLLU7aBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"429648fd3d6d5c6acf10f2733ea10af5aff3cb7ea63c3dd7144f944d8e652a9a","last_reissued_at":"2026-07-05T00:46:48.195867Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:46:48.195867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.11388","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":"2026-07-05T00:46:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DJGfObf4qPca9pwxwWeL0so4dVPgEzvGvNiY81wHuVYyx9HdVO2pNjuGladNRb/Eda8pTF5MonMwI77fsjUWDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:08:16.499292Z"},"content_sha256":"e5255ef79a254e79c6998ed33ea681526da53a4f5754fd0e8a262c9a001f7ac1","schema_version":"1.0","event_id":"sha256:e5255ef79a254e79c6998ed33ea681526da53a4f5754fd0e8a262c9a001f7ac1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:IKLER7J5NVOGVTYQ6JZT5IIK6W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sub-diffusion in the Anderson model on random regular graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Antonello Scardicchio, Giuseppe De Tomasi, Ivan M. Khaymovich, Soumya Bera","submitted_at":"2019-08-29T18:00:04Z","abstract_excerpt":"We study the finite-time dynamics of an initially localized wave-packet in the Anderson model on the random regular graph (RRG). Considering the full probability distribution $\\Pi(x,t)$ of a particle to be at some distance $x$ from the initial state at time $t$, we give evidence that $\\Pi(x,t)$ spreads sub-diffusively over a range of disorder strengths, wider than a putative non-ergodic phase. We provide a detailed analysis of the propagation of $\\Pi(x,t)$ in space-time $(x,t)$ domain, identifying four different regimes. These regimes in $(x,t)$ are determined by the position of a wave-front $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.11388","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.11388/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:46:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ghu9oC+ail/gf46mUh/fV3dsB4ZaMYUdSBDB0ayJDpH05ArSDcCD06MfLeUxmkPT2IIIlKTQKz/ro8BMal6oBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:08:16.500746Z"},"content_sha256":"b28cbb6b89d38ceb6daedac2ef918d272cd17da362a40cfeb4211f3d834acbf3","schema_version":"1.0","event_id":"sha256:b28cbb6b89d38ceb6daedac2ef918d272cd17da362a40cfeb4211f3d834acbf3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/bundle.json","state_url":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/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":"2026-08-19T10:08:16Z","links":{"resolver":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W","bundle":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/bundle.json","state":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IKLER7J5NVOGVTYQ6JZT5IIK6W","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":"8021575ce2cd71c7c1fc87dbd3e11a55c8c2bd5a43ec3581d5a4160e6beb465f","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-29T18:00:04Z","title_canon_sha256":"d7a5d5c955c13e85af586b4850481b97afa261b00f55f3123f01c6bd2430d3af"},"schema_version":"1.0","source":{"id":"1908.11388","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.11388","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"arxiv_version","alias_value":"1908.11388v2","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.11388","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"pith_short_12","alias_value":"IKLER7J5NVOG","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"pith_short_16","alias_value":"IKLER7J5NVOGVTYQ","created_at":"2026-07-05T00:46:48Z"},{"alias_kind":"pith_short_8","alias_value":"IKLER7J5","created_at":"2026-07-05T00:46:48Z"}],"graph_snapshots":[{"event_id":"sha256:b28cbb6b89d38ceb6daedac2ef918d272cd17da362a40cfeb4211f3d834acbf3","target":"graph","created_at":"2026-07-05T00:46:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.11388/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the finite-time dynamics of an initially localized wave-packet in the Anderson model on the random regular graph (RRG). Considering the full probability distribution $\\Pi(x,t)$ of a particle to be at some distance $x$ from the initial state at time $t$, we give evidence that $\\Pi(x,t)$ spreads sub-diffusively over a range of disorder strengths, wider than a putative non-ergodic phase. We provide a detailed analysis of the propagation of $\\Pi(x,t)$ in space-time $(x,t)$ domain, identifying four different regimes. These regimes in $(x,t)$ are determined by the position of a wave-front $","authors_text":"Antonello Scardicchio, Giuseppe De Tomasi, Ivan M. Khaymovich, Soumya Bera","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-29T18:00:04Z","title":"Sub-diffusion in the Anderson model on random regular graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.11388","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:e5255ef79a254e79c6998ed33ea681526da53a4f5754fd0e8a262c9a001f7ac1","target":"record","created_at":"2026-07-05T00:46:48Z","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":"8021575ce2cd71c7c1fc87dbd3e11a55c8c2bd5a43ec3581d5a4160e6beb465f","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-29T18:00:04Z","title_canon_sha256":"d7a5d5c955c13e85af586b4850481b97afa261b00f55f3123f01c6bd2430d3af"},"schema_version":"1.0","source":{"id":"1908.11388","kind":"arxiv","version":2}},"canonical_sha256":"429648fd3d6d5c6acf10f2733ea10af5aff3cb7ea63c3dd7144f944d8e652a9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"429648fd3d6d5c6acf10f2733ea10af5aff3cb7ea63c3dd7144f944d8e652a9a","first_computed_at":"2026-07-05T00:46:48.195867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:46:48.195867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pgg0IMpdjf4KX07dnoU4jIaiL4tR64+7/C0u1VDI+YwrY1UcfJpC4CfQNY9UJAg/HAcFYea4c3ssSXRLLU7aBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:46:48.196419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.11388","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5255ef79a254e79c6998ed33ea681526da53a4f5754fd0e8a262c9a001f7ac1","sha256:b28cbb6b89d38ceb6daedac2ef918d272cd17da362a40cfeb4211f3d834acbf3"],"state_sha256":"180eb88ac343e1eb2ba1f5a4b5edfbefe5f1509f8b0ec05cb8948f1904e52e1a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2kuvxR+H2pAzN+9PGyxUFpMKZVnus6XRparIeCWTVvif9zr4EY8j14iBWiy0Vu7d67LPEfDmb4pAHj/w4KF9AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T10:08:16.505558Z","bundle_sha256":"30429a060a306758f23e7cc3b7835dbb031ca5d64c8a480e9fbaae22731fb42a"}}