{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:L3TICQJGWOOWDLE4SERSLPCVVE","short_pith_number":"pith:L3TICQJG","canonical_record":{"source":{"id":"2308.06876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2023-08-14T01:18:18Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.str-el","physics.flu-dyn"],"title_canon_sha256":"408e8a751ca14e36d4f6356aa7e553d47f74daeb6cd25da0374cca256b746bff","abstract_canon_sha256":"19828f3d1e67a5ae1b8e40149d6e5941d0aab845e41d175488b82d97afa4542d"},"schema_version":"1.0"},"canonical_sha256":"5ee6814126b39d61ac9c912325bc55a90b620803b23d11a631cf5353cc678507","source":{"kind":"arxiv","id":"2308.06876","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.06876","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"arxiv_version","alias_value":"2308.06876v2","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.06876","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"pith_short_12","alias_value":"L3TICQJGWOOW","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"pith_short_16","alias_value":"L3TICQJGWOOWDLE4","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"pith_short_8","alias_value":"L3TICQJG","created_at":"2026-07-05T07:06:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:L3TICQJGWOOWDLE4SERSLPCVVE","target":"record","payload":{"canonical_record":{"source":{"id":"2308.06876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2023-08-14T01:18:18Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.str-el","physics.flu-dyn"],"title_canon_sha256":"408e8a751ca14e36d4f6356aa7e553d47f74daeb6cd25da0374cca256b746bff","abstract_canon_sha256":"19828f3d1e67a5ae1b8e40149d6e5941d0aab845e41d175488b82d97afa4542d"},"schema_version":"1.0"},"canonical_sha256":"5ee6814126b39d61ac9c912325bc55a90b620803b23d11a631cf5353cc678507","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:06:32.934382Z","signature_b64":"O8y8imVvlvXKvroEIYVxESFCDnd9jJv5FsANR50qtbA+spc89eBlgC6mkK2HOvIIC4jVQaK91x9tufNJ6uWhBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ee6814126b39d61ac9c912325bc55a90b620803b23d11a631cf5353cc678507","last_reissued_at":"2026-07-05T07:06:32.933897Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:06:32.933897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2308.06876","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":"2026-07-05T07:06:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4gYvnbOWImgq+8HbfyIk5jG8S1HR0Pcl3KZRgSl3FF+NTOXzeUu4WgRZDoMl1VvcJTIcH8Ih8J00lfRI9O5tAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:05:23.100908Z"},"content_sha256":"fcf4bf0065ee3b4f7b17318860a49b52b9fcc1e4d4c930a721a7a4c935185321","schema_version":"1.0","event_id":"sha256:fcf4bf0065ee3b4f7b17318860a49b52b9fcc1e4d4c930a721a7a4c935185321"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:L3TICQJGWOOWDLE4SERSLPCVVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.str-el","physics.flu-dyn"],"primary_cat":"cond-mat.mes-hall","authors_text":"D. G. Polyakov, I. V. Gornyi","submitted_at":"2023-08-14T01:18:18Z","abstract_excerpt":"We formulate a general framework to study the flow of the electron liquid in two dimensions past a random array of impenetrable obstacles in the presence of a magnetic field. We derive a linear-response formula for the resistivity tensor $\\hat\\rho$ in hydrodynamics with obstacles, which expresses $\\hat\\rho$ in terms of the vorticity and its harmonic conjugate, both on the boundary of obstacles. In the limit of rare obstacles, in which we calculate $\\hat\\rho$, the contributions of the flow-induced electric field to the dissipative resistivity from the area covered by the liquid and the area ins"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.06876","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/2308.06876/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":"2026-07-05T07:06:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Plzfcg6L0I+hzQwE/Rd96F0xhwOJQichzzEuz7FfvH4ZFq3yOgMhiVymZkT+RGy3eH/H/jC+V+Jj1udFzaP3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:05:23.101364Z"},"content_sha256":"d3f34bd3806a11c97142b7ed99fd364888012131dfde8dd3ccba77e4738c8322","schema_version":"1.0","event_id":"sha256:d3f34bd3806a11c97142b7ed99fd364888012131dfde8dd3ccba77e4738c8322"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L3TICQJGWOOWDLE4SERSLPCVVE/bundle.json","state_url":"https://pith.science/pith/L3TICQJGWOOWDLE4SERSLPCVVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L3TICQJGWOOWDLE4SERSLPCVVE/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":"2026-07-05T15:05:23Z","links":{"resolver":"https://pith.science/pith/L3TICQJGWOOWDLE4SERSLPCVVE","bundle":"https://pith.science/pith/L3TICQJGWOOWDLE4SERSLPCVVE/bundle.json","state":"https://pith.science/pith/L3TICQJGWOOWDLE4SERSLPCVVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L3TICQJGWOOWDLE4SERSLPCVVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:L3TICQJGWOOWDLE4SERSLPCVVE","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":"19828f3d1e67a5ae1b8e40149d6e5941d0aab845e41d175488b82d97afa4542d","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.str-el","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2023-08-14T01:18:18Z","title_canon_sha256":"408e8a751ca14e36d4f6356aa7e553d47f74daeb6cd25da0374cca256b746bff"},"schema_version":"1.0","source":{"id":"2308.06876","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.06876","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"arxiv_version","alias_value":"2308.06876v2","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.06876","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"pith_short_12","alias_value":"L3TICQJGWOOW","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"pith_short_16","alias_value":"L3TICQJGWOOWDLE4","created_at":"2026-07-05T07:06:32Z"},{"alias_kind":"pith_short_8","alias_value":"L3TICQJG","created_at":"2026-07-05T07:06:32Z"}],"graph_snapshots":[{"event_id":"sha256:d3f34bd3806a11c97142b7ed99fd364888012131dfde8dd3ccba77e4738c8322","target":"graph","created_at":"2026-07-05T07:06:32Z","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/2308.06876/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We formulate a general framework to study the flow of the electron liquid in two dimensions past a random array of impenetrable obstacles in the presence of a magnetic field. We derive a linear-response formula for the resistivity tensor $\\hat\\rho$ in hydrodynamics with obstacles, which expresses $\\hat\\rho$ in terms of the vorticity and its harmonic conjugate, both on the boundary of obstacles. In the limit of rare obstacles, in which we calculate $\\hat\\rho$, the contributions of the flow-induced electric field to the dissipative resistivity from the area covered by the liquid and the area ins","authors_text":"D. G. Polyakov, I. V. Gornyi","cross_cats":["cond-mat.dis-nn","cond-mat.str-el","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2023-08-14T01:18:18Z","title":"Two-dimensional electron hydrodynamics in a random array of impenetrable obstacles: Magnetoresistivity, Hall viscosity, and the Landauer dipole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.06876","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:fcf4bf0065ee3b4f7b17318860a49b52b9fcc1e4d4c930a721a7a4c935185321","target":"record","created_at":"2026-07-05T07:06:32Z","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":"19828f3d1e67a5ae1b8e40149d6e5941d0aab845e41d175488b82d97afa4542d","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.str-el","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2023-08-14T01:18:18Z","title_canon_sha256":"408e8a751ca14e36d4f6356aa7e553d47f74daeb6cd25da0374cca256b746bff"},"schema_version":"1.0","source":{"id":"2308.06876","kind":"arxiv","version":2}},"canonical_sha256":"5ee6814126b39d61ac9c912325bc55a90b620803b23d11a631cf5353cc678507","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ee6814126b39d61ac9c912325bc55a90b620803b23d11a631cf5353cc678507","first_computed_at":"2026-07-05T07:06:32.933897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:06:32.933897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O8y8imVvlvXKvroEIYVxESFCDnd9jJv5FsANR50qtbA+spc89eBlgC6mkK2HOvIIC4jVQaK91x9tufNJ6uWhBw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:06:32.934382Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.06876","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcf4bf0065ee3b4f7b17318860a49b52b9fcc1e4d4c930a721a7a4c935185321","sha256:d3f34bd3806a11c97142b7ed99fd364888012131dfde8dd3ccba77e4738c8322"],"state_sha256":"4271e4f8daa9b9df5096ca4d013983efa2b38e7a00d58c8ebcfa3205d1b8264c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Asc1CwgU3klv8ndKKprD1m18HHq+vKtZRNUL4Jqy53o1LNqtTX+KWb2S7RxncWQuAQnhOiiEmgvfBTYd9KTWCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:05:23.104096Z","bundle_sha256":"e1242d5bfb2e0acfeae958b632e4180e392b15acbb696fa846d19596c1f5a2a1"}}