{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YUO6JVCPTEDM377ILPU4EL42QT","short_pith_number":"pith:YUO6JVCP","canonical_record":{"source":{"id":"1603.04587","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-15T08:17:42Z","cross_cats_sorted":[],"title_canon_sha256":"e7fb95f78fed19cce815e90219e7de200cec9f15283339da8ca97e8040f6b420","abstract_canon_sha256":"5be0c68435c0dae509cbb17f6c9efc2b1ae0f17525ab0b2d5a18c4d52c56687d"},"schema_version":"1.0"},"canonical_sha256":"c51de4d44f9906cdffe85be9c22f9a84e0fcc9e19fe25fce3d1da4f49691734f","source":{"kind":"arxiv","id":"1603.04587","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04587","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04587v2","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04587","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"pith_short_12","alias_value":"YUO6JVCPTEDM","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YUO6JVCPTEDM377I","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YUO6JVCP","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YUO6JVCPTEDM377ILPU4EL42QT","target":"record","payload":{"canonical_record":{"source":{"id":"1603.04587","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-15T08:17:42Z","cross_cats_sorted":[],"title_canon_sha256":"e7fb95f78fed19cce815e90219e7de200cec9f15283339da8ca97e8040f6b420","abstract_canon_sha256":"5be0c68435c0dae509cbb17f6c9efc2b1ae0f17525ab0b2d5a18c4d52c56687d"},"schema_version":"1.0"},"canonical_sha256":"c51de4d44f9906cdffe85be9c22f9a84e0fcc9e19fe25fce3d1da4f49691734f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:00.298631Z","signature_b64":"3xSwMN+2bJT1NRan7Dzn/wPZpSK7u3+XKhk2kv5Xk0qESvFCHMValUBUm+hm+iQO6vAuiT6kP02w5mTaxabqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c51de4d44f9906cdffe85be9c22f9a84e0fcc9e19fe25fce3d1da4f49691734f","last_reissued_at":"2026-05-18T00:55:00.298003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:00.298003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.04587","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":"2026-05-18T00:55:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZEgj2bcroeXRompJqAsbOwUrPvri3RQeLH0CXQPIrdG+nuds6m+TC0QS5jafWT4AVpcLz+axlwr7j9kBg+22AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:57:17.573926Z"},"content_sha256":"edb50c31eff82411ea968023132cbb4e8d04a5b1e8691c637a193a937dcf6432","schema_version":"1.0","event_id":"sha256:edb50c31eff82411ea968023132cbb4e8d04a5b1e8691c637a193a937dcf6432"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YUO6JVCPTEDM377ILPU4EL42QT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Negative magnetoresistance in viscous flow of two-dimensional electrons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"P. S. Alekseev","submitted_at":"2016-03-15T08:17:42Z","abstract_excerpt":"At low temperatures, in very clean two-dimensional (2D) samples the electron mean free path for collisions with static defects and phonons becomes greater than the sample width. Under this condition, the electron transport occurs by formation of a viscous flow of an electron fluid. We study the viscous flow of 2D electrons in a magnetic field perpendicular to the 2D layer. We calculate the viscosity coefficients as the functions of magnetic field and temperature. The off-diagonal viscosity coefficient determines the dispersion of the 2D hydrodynamic waves. The decrease of the diagonal viscosit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04587","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":"2026-05-18T00:55:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R2xUklJEkmojFcAbFUbH4tMCAcvHaHb6+uHMIP0tiav0sPAR/bst/LQo9ef7o3LBL+ufKHTrp9gGPYWAv88+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:57:17.574262Z"},"content_sha256":"5123ba47d9fc9e2f8a14f5f073399394bde2aea54bfb79dc33e853aa5fe18eac","schema_version":"1.0","event_id":"sha256:5123ba47d9fc9e2f8a14f5f073399394bde2aea54bfb79dc33e853aa5fe18eac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YUO6JVCPTEDM377ILPU4EL42QT/bundle.json","state_url":"https://pith.science/pith/YUO6JVCPTEDM377ILPU4EL42QT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YUO6JVCPTEDM377ILPU4EL42QT/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":"2026-06-20T08:57:17Z","links":{"resolver":"https://pith.science/pith/YUO6JVCPTEDM377ILPU4EL42QT","bundle":"https://pith.science/pith/YUO6JVCPTEDM377ILPU4EL42QT/bundle.json","state":"https://pith.science/pith/YUO6JVCPTEDM377ILPU4EL42QT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YUO6JVCPTEDM377ILPU4EL42QT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YUO6JVCPTEDM377ILPU4EL42QT","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":"5be0c68435c0dae509cbb17f6c9efc2b1ae0f17525ab0b2d5a18c4d52c56687d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-15T08:17:42Z","title_canon_sha256":"e7fb95f78fed19cce815e90219e7de200cec9f15283339da8ca97e8040f6b420"},"schema_version":"1.0","source":{"id":"1603.04587","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.04587","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"arxiv_version","alias_value":"1603.04587v2","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04587","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"pith_short_12","alias_value":"YUO6JVCPTEDM","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YUO6JVCPTEDM377I","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YUO6JVCP","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:5123ba47d9fc9e2f8a14f5f073399394bde2aea54bfb79dc33e853aa5fe18eac","target":"graph","created_at":"2026-05-18T00:55:00Z","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":"At low temperatures, in very clean two-dimensional (2D) samples the electron mean free path for collisions with static defects and phonons becomes greater than the sample width. Under this condition, the electron transport occurs by formation of a viscous flow of an electron fluid. We study the viscous flow of 2D electrons in a magnetic field perpendicular to the 2D layer. We calculate the viscosity coefficients as the functions of magnetic field and temperature. The off-diagonal viscosity coefficient determines the dispersion of the 2D hydrodynamic waves. The decrease of the diagonal viscosit","authors_text":"P. S. Alekseev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-15T08:17:42Z","title":"Negative magnetoresistance in viscous flow of two-dimensional electrons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04587","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:edb50c31eff82411ea968023132cbb4e8d04a5b1e8691c637a193a937dcf6432","target":"record","created_at":"2026-05-18T00:55:00Z","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":"5be0c68435c0dae509cbb17f6c9efc2b1ae0f17525ab0b2d5a18c4d52c56687d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-03-15T08:17:42Z","title_canon_sha256":"e7fb95f78fed19cce815e90219e7de200cec9f15283339da8ca97e8040f6b420"},"schema_version":"1.0","source":{"id":"1603.04587","kind":"arxiv","version":2}},"canonical_sha256":"c51de4d44f9906cdffe85be9c22f9a84e0fcc9e19fe25fce3d1da4f49691734f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c51de4d44f9906cdffe85be9c22f9a84e0fcc9e19fe25fce3d1da4f49691734f","first_computed_at":"2026-05-18T00:55:00.298003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:00.298003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3xSwMN+2bJT1NRan7Dzn/wPZpSK7u3+XKhk2kv5Xk0qESvFCHMValUBUm+hm+iQO6vAuiT6kP02w5mTaxabqCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:00.298631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.04587","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edb50c31eff82411ea968023132cbb4e8d04a5b1e8691c637a193a937dcf6432","sha256:5123ba47d9fc9e2f8a14f5f073399394bde2aea54bfb79dc33e853aa5fe18eac"],"state_sha256":"63f0ba8f90d33ba1fbee506b74b61d6067067f2e0347e854507dfe7df35b25e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/xywOawg6u0M5d+q7FKtgTb7FszWpWWU31SNuQQylmpTB3KoycCj1NF6CZLovF7nzvbwNM335sHxGgL0wADmDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T08:57:17.576195Z","bundle_sha256":"598eac0918dfd37d20b8c25a35571e03c4b70fb9e8ff6445e60e788bc4cf6062"}}