{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:LY4DMWSCPAEDGBM3SWVFWEA5I2","short_pith_number":"pith:LY4DMWSC","canonical_record":{"source":{"id":"1010.3115","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-15T10:21:54Z","cross_cats_sorted":[],"title_canon_sha256":"b2530c1d1e9004f6bffacff37c2ce1d5331a9d0b5891619df5eceb82f82ca78d","abstract_canon_sha256":"5461f6ee6f19225e4c646f5d3831e17493a9f0006a7228502c5baad7ab4404fc"},"schema_version":"1.0"},"canonical_sha256":"5e38365a42780833059b95aa5b101d46b1fc3b198675f551a326b59e23b0670d","source":{"kind":"arxiv","id":"1010.3115","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3115","created_at":"2026-05-18T02:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3115v1","created_at":"2026-05-18T02:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3115","created_at":"2026-05-18T02:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"LY4DMWSCPAED","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LY4DMWSCPAEDGBM3","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LY4DMWSC","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:LY4DMWSCPAEDGBM3SWVFWEA5I2","target":"record","payload":{"canonical_record":{"source":{"id":"1010.3115","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-15T10:21:54Z","cross_cats_sorted":[],"title_canon_sha256":"b2530c1d1e9004f6bffacff37c2ce1d5331a9d0b5891619df5eceb82f82ca78d","abstract_canon_sha256":"5461f6ee6f19225e4c646f5d3831e17493a9f0006a7228502c5baad7ab4404fc"},"schema_version":"1.0"},"canonical_sha256":"5e38365a42780833059b95aa5b101d46b1fc3b198675f551a326b59e23b0670d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:04.564861Z","signature_b64":"6JbqUIgVgBsFvqORaeSO/kBN678HWMWpjq+Eocx3Zap4lPcshuBYwyZQbMp+fm8L4lz4Rg7j0RQEjRaplgsFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e38365a42780833059b95aa5b101d46b1fc3b198675f551a326b59e23b0670d","last_reissued_at":"2026-05-18T02:05:04.564215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:04.564215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.3115","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5hL3JYx5ntIZkDssf4ATaHUBKBFQO7dzZgpqWxsz7Kq6ve+rvYqwfDUog2pyK5J9frfQx8vJaSEaaPmGPWyHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:52:59.607722Z"},"content_sha256":"fbb08f86110a87428668545e0b65b11f82ee3b52417f70e8eb315dd24c6d27fb","schema_version":"1.0","event_id":"sha256:fbb08f86110a87428668545e0b65b11f82ee3b52417f70e8eb315dd24c6d27fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:LY4DMWSCPAEDGBM3SWVFWEA5I2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous diffusion in viscosity landscapes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alexei Krekhov, Benjamin Kaiser, Markus Burgis, Martin Gl\\\"assl, Volker Schaller, Walter Zimmermann, Werner K\\\"ohler","submitted_at":"2010-10-15T10:21:54Z","abstract_excerpt":"Anomalous diffusion is predicted for Brownian particles in inhomogeneous viscosity landscapes by means of scaling arguments, which are substantiated through numerical simulations. Analytical solutions of the related Fokker-Planck equation in limiting cases confirm our results. For an ensemble of particles starting at a spatial minimum (maximum) of the viscous damping we find subdiffusive (superdiffusive) motion. Superdiffusion occurs also for a monotonically varying viscosity profile. We suggest different substances for related experimental investigations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3115","kind":"arxiv","version":1},"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":"2026-05-18T02:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QcqJ3QU3S22Xl7FMG6+YZkdpPaTlinn32je91oQpb0szhgs8fjw70/RB4zZt8/NYTgqX/hWKKUlv22yid1g/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:52:59.608075Z"},"content_sha256":"22f5d5d2eb38fb33ba0f51e436af61f11475efed7cc97b39297980eee0fbd2cd","schema_version":"1.0","event_id":"sha256:22f5d5d2eb38fb33ba0f51e436af61f11475efed7cc97b39297980eee0fbd2cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LY4DMWSCPAEDGBM3SWVFWEA5I2/bundle.json","state_url":"https://pith.science/pith/LY4DMWSCPAEDGBM3SWVFWEA5I2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LY4DMWSCPAEDGBM3SWVFWEA5I2/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":"2026-06-03T16:52:59Z","links":{"resolver":"https://pith.science/pith/LY4DMWSCPAEDGBM3SWVFWEA5I2","bundle":"https://pith.science/pith/LY4DMWSCPAEDGBM3SWVFWEA5I2/bundle.json","state":"https://pith.science/pith/LY4DMWSCPAEDGBM3SWVFWEA5I2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LY4DMWSCPAEDGBM3SWVFWEA5I2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LY4DMWSCPAEDGBM3SWVFWEA5I2","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":"5461f6ee6f19225e4c646f5d3831e17493a9f0006a7228502c5baad7ab4404fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-15T10:21:54Z","title_canon_sha256":"b2530c1d1e9004f6bffacff37c2ce1d5331a9d0b5891619df5eceb82f82ca78d"},"schema_version":"1.0","source":{"id":"1010.3115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3115","created_at":"2026-05-18T02:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3115v1","created_at":"2026-05-18T02:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3115","created_at":"2026-05-18T02:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"LY4DMWSCPAED","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LY4DMWSCPAEDGBM3","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LY4DMWSC","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:22f5d5d2eb38fb33ba0f51e436af61f11475efed7cc97b39297980eee0fbd2cd","target":"graph","created_at":"2026-05-18T02:05:04Z","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":"Anomalous diffusion is predicted for Brownian particles in inhomogeneous viscosity landscapes by means of scaling arguments, which are substantiated through numerical simulations. Analytical solutions of the related Fokker-Planck equation in limiting cases confirm our results. For an ensemble of particles starting at a spatial minimum (maximum) of the viscous damping we find subdiffusive (superdiffusive) motion. Superdiffusion occurs also for a monotonically varying viscosity profile. We suggest different substances for related experimental investigations.","authors_text":"Alexei Krekhov, Benjamin Kaiser, Markus Burgis, Martin Gl\\\"assl, Volker Schaller, Walter Zimmermann, Werner K\\\"ohler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-15T10:21:54Z","title":"Anomalous diffusion in viscosity landscapes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3115","kind":"arxiv","version":1},"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:fbb08f86110a87428668545e0b65b11f82ee3b52417f70e8eb315dd24c6d27fb","target":"record","created_at":"2026-05-18T02:05:04Z","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":"5461f6ee6f19225e4c646f5d3831e17493a9f0006a7228502c5baad7ab4404fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-15T10:21:54Z","title_canon_sha256":"b2530c1d1e9004f6bffacff37c2ce1d5331a9d0b5891619df5eceb82f82ca78d"},"schema_version":"1.0","source":{"id":"1010.3115","kind":"arxiv","version":1}},"canonical_sha256":"5e38365a42780833059b95aa5b101d46b1fc3b198675f551a326b59e23b0670d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e38365a42780833059b95aa5b101d46b1fc3b198675f551a326b59e23b0670d","first_computed_at":"2026-05-18T02:05:04.564215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:04.564215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6JbqUIgVgBsFvqORaeSO/kBN678HWMWpjq+Eocx3Zap4lPcshuBYwyZQbMp+fm8L4lz4Rg7j0RQEjRaplgsFBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:04.564861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbb08f86110a87428668545e0b65b11f82ee3b52417f70e8eb315dd24c6d27fb","sha256:22f5d5d2eb38fb33ba0f51e436af61f11475efed7cc97b39297980eee0fbd2cd"],"state_sha256":"cbe3c1684059eb2a5170139093b52e3c39f66955bdff4771f70370239f83895f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XS+Xe02Guanf6nVt9vP4b0r9XA3ULaAFtSLHbcU7gQc8aYS3jNcq1pcC8wlc1uydnZ7BdTDo06qRp7tdKvrfCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:52:59.610150Z","bundle_sha256":"fdbf9463c2388c2503927fc0713b2bdd8bc3cc90e21e7b51e4888df4208c7bf9"}}