{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:622LTKK3KO4AMZ6FKEZSOK2MJW","short_pith_number":"pith:622LTKK3","canonical_record":{"source":{"id":"1001.1071","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-07T13:39:52Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"85caf1f47e307e7c9d7dfbac5cfc6dbb8316d8792cf1275fe73f039a14ce6aaf","abstract_canon_sha256":"899021e4f7b2f9f9a807eee7f68a2488c9014ba5fe8ad3e1f412365997a3c720"},"schema_version":"1.0"},"canonical_sha256":"f6b4b9a95b53b80667c55133272b4c4d9f842a56f53981eaae0c94a9c5230772","source":{"kind":"arxiv","id":"1001.1071","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.1071","created_at":"2026-05-18T04:23:54Z"},{"alias_kind":"arxiv_version","alias_value":"1001.1071v3","created_at":"2026-05-18T04:23:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1071","created_at":"2026-05-18T04:23:54Z"},{"alias_kind":"pith_short_12","alias_value":"622LTKK3KO4A","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"622LTKK3KO4AMZ6F","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"622LTKK3","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:622LTKK3KO4AMZ6FKEZSOK2MJW","target":"record","payload":{"canonical_record":{"source":{"id":"1001.1071","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-07T13:39:52Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"85caf1f47e307e7c9d7dfbac5cfc6dbb8316d8792cf1275fe73f039a14ce6aaf","abstract_canon_sha256":"899021e4f7b2f9f9a807eee7f68a2488c9014ba5fe8ad3e1f412365997a3c720"},"schema_version":"1.0"},"canonical_sha256":"f6b4b9a95b53b80667c55133272b4c4d9f842a56f53981eaae0c94a9c5230772","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:54.533040Z","signature_b64":"0AhUXAETQ67X88IPIFGjTceQJcNWYdz3WBVH5+znoBDRzR+JDOCN6jqqooyTyHLszizVKOghqOZuZy23SQ+JCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6b4b9a95b53b80667c55133272b4c4d9f842a56f53981eaae0c94a9c5230772","last_reissued_at":"2026-05-18T04:23:54.532345Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:54.532345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.1071","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:23:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MgwukrWF01wis5okKJEWr71MTGKl/8MDvNU/mo6exIQpS62zYugsRCCOQv80djIw73DmYk+pZj2qDuNd3jOrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T16:32:01.649095Z"},"content_sha256":"46946d39ca17f132d83908176b9f21258aec003b9f66838559c8ebf6063d6d65","schema_version":"1.0","event_id":"sha256:46946d39ca17f132d83908176b9f21258aec003b9f66838559c8ebf6063d6d65"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:622LTKK3KO4AMZ6FKEZSOK2MJW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"quant-ph","authors_text":"Roumen Tsekov","submitted_at":"2010-01-07T13:39:52Z","abstract_excerpt":"Quantum diffusion is studied via dissipative Madelung hydrodynamics. Initially the wave packet spreads ballistically, than passes for an instant through normal diffusion and later tends asymptotically to a sub-diffusive law. It is shown that the apparent quantum diffusion coefficient is not a universal physical parameter since it depends on the initial wave packet preparation. The overdamped quantum diffusion of an electron in the field of a periodic potential is also investigated; in this case the wave packet spreads logarithmically in time. Thermo-quantum diffusion of heavier particles as hy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1071","kind":"arxiv","version":3},"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":"2026-05-18T04:23:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yY6SEtW0F2NY3nou6z43woM1oQCx194cP0M5gD9PJGxpJj236F6bnXfWTygL7J9vt9ebecoz5TLm+EjHRMzOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T16:32:01.649468Z"},"content_sha256":"9b3c3f3c8b52e38d87efb30aeb8972c0abf1b44758224faf2347de2b12f436a8","schema_version":"1.0","event_id":"sha256:9b3c3f3c8b52e38d87efb30aeb8972c0abf1b44758224faf2347de2b12f436a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/622LTKK3KO4AMZ6FKEZSOK2MJW/bundle.json","state_url":"https://pith.science/pith/622LTKK3KO4AMZ6FKEZSOK2MJW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/622LTKK3KO4AMZ6FKEZSOK2MJW/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":"2026-07-03T16:32:01Z","links":{"resolver":"https://pith.science/pith/622LTKK3KO4AMZ6FKEZSOK2MJW","bundle":"https://pith.science/pith/622LTKK3KO4AMZ6FKEZSOK2MJW/bundle.json","state":"https://pith.science/pith/622LTKK3KO4AMZ6FKEZSOK2MJW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/622LTKK3KO4AMZ6FKEZSOK2MJW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:622LTKK3KO4AMZ6FKEZSOK2MJW","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":"899021e4f7b2f9f9a807eee7f68a2488c9014ba5fe8ad3e1f412365997a3c720","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-07T13:39:52Z","title_canon_sha256":"85caf1f47e307e7c9d7dfbac5cfc6dbb8316d8792cf1275fe73f039a14ce6aaf"},"schema_version":"1.0","source":{"id":"1001.1071","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.1071","created_at":"2026-05-18T04:23:54Z"},{"alias_kind":"arxiv_version","alias_value":"1001.1071v3","created_at":"2026-05-18T04:23:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1071","created_at":"2026-05-18T04:23:54Z"},{"alias_kind":"pith_short_12","alias_value":"622LTKK3KO4A","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"622LTKK3KO4AMZ6F","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"622LTKK3","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:9b3c3f3c8b52e38d87efb30aeb8972c0abf1b44758224faf2347de2b12f436a8","target":"graph","created_at":"2026-05-18T04:23:54Z","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":"Quantum diffusion is studied via dissipative Madelung hydrodynamics. Initially the wave packet spreads ballistically, than passes for an instant through normal diffusion and later tends asymptotically to a sub-diffusive law. It is shown that the apparent quantum diffusion coefficient is not a universal physical parameter since it depends on the initial wave packet preparation. The overdamped quantum diffusion of an electron in the field of a periodic potential is also investigated; in this case the wave packet spreads logarithmically in time. Thermo-quantum diffusion of heavier particles as hy","authors_text":"Roumen Tsekov","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-07T13:39:52Z","title":"Quantum diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1071","kind":"arxiv","version":3},"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":"sha256:46946d39ca17f132d83908176b9f21258aec003b9f66838559c8ebf6063d6d65","target":"record","created_at":"2026-05-18T04:23:54Z","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":"899021e4f7b2f9f9a807eee7f68a2488c9014ba5fe8ad3e1f412365997a3c720","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-07T13:39:52Z","title_canon_sha256":"85caf1f47e307e7c9d7dfbac5cfc6dbb8316d8792cf1275fe73f039a14ce6aaf"},"schema_version":"1.0","source":{"id":"1001.1071","kind":"arxiv","version":3}},"canonical_sha256":"f6b4b9a95b53b80667c55133272b4c4d9f842a56f53981eaae0c94a9c5230772","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6b4b9a95b53b80667c55133272b4c4d9f842a56f53981eaae0c94a9c5230772","first_computed_at":"2026-05-18T04:23:54.532345Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:54.532345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0AhUXAETQ67X88IPIFGjTceQJcNWYdz3WBVH5+znoBDRzR+JDOCN6jqqooyTyHLszizVKOghqOZuZy23SQ+JCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:54.533040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.1071","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46946d39ca17f132d83908176b9f21258aec003b9f66838559c8ebf6063d6d65","sha256:9b3c3f3c8b52e38d87efb30aeb8972c0abf1b44758224faf2347de2b12f436a8"],"state_sha256":"113229ff7fa88b5dde0a4961e0ae5d325502545beaafc99b5607061a966a1d29"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cRl/zrNHTVF7mML8ttJrVuvvkh3H6lSDYxgU3K8UqPhSmSOZ8deQugqwJxhFvOMb7ygaB6U+nmbniGoOaiSKAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T16:32:01.651486Z","bundle_sha256":"1a8243ffee8760e94bc7b4a8b6e6d350062b1f40d680a62914c3aa15b42cad66"}}