{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JXSBGUVSX37BWSDZPO5VBD35Q4","short_pith_number":"pith:JXSBGUVS","canonical_record":{"source":{"id":"1603.08277","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-03-28T01:19:53Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"a838906e32054c8aaa4d04feda8d692a62ef99d20305aca0457efd239a74e15f","abstract_canon_sha256":"6ab70e02c4962158a33b5332fdd736059b20920513b6b4a9047aaac8e8f4ff1c"},"schema_version":"1.0"},"canonical_sha256":"4de41352b2befe1b48797bbb508f7d872b4edde1d6c7ef98e5307ababba23b35","source":{"kind":"arxiv","id":"1603.08277","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08277","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08277v2","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08277","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"JXSBGUVSX37B","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JXSBGUVSX37BWSDZ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JXSBGUVS","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JXSBGUVSX37BWSDZPO5VBD35Q4","target":"record","payload":{"canonical_record":{"source":{"id":"1603.08277","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-03-28T01:19:53Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"a838906e32054c8aaa4d04feda8d692a62ef99d20305aca0457efd239a74e15f","abstract_canon_sha256":"6ab70e02c4962158a33b5332fdd736059b20920513b6b4a9047aaac8e8f4ff1c"},"schema_version":"1.0"},"canonical_sha256":"4de41352b2befe1b48797bbb508f7d872b4edde1d6c7ef98e5307ababba23b35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:11.987172Z","signature_b64":"2atOroc4S0qhUhEGQ/J6X39UXPqK/tzj4eTsW5Pr29mR27uLBg6exOJ4Mba/Hz72sv5/h3UrMTLHidt2O+o9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4de41352b2befe1b48797bbb508f7d872b4edde1d6c7ef98e5307ababba23b35","last_reissued_at":"2026-05-18T01:12:11.986695Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:11.986695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.08277","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":"2026-05-18T01:12:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"km0HNEhUQNOcv8q86H/i8ONQ+EOIb7r/4N5H0I7nvg/jXPc7Xe0lqwi7lVGyraqA6d5mt0bCNc2/gvrshlOuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:36:56.150516Z"},"content_sha256":"a19d4a626bdef59629e72f6ce6797de91768cb3ee6a347fa39f6883e7beb0749","schema_version":"1.0","event_id":"sha256:a19d4a626bdef59629e72f6ce6797de91768cb3ee6a347fa39f6883e7beb0749"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JXSBGUVSX37BWSDZPO5VBD35Q4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear waves in electromigration dispersion in a capillary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"physics.flu-dyn","authors_text":"Ivan C. Christov","submitted_at":"2016-03-28T01:19:53Z","abstract_excerpt":"We construct exact solutions to an unusual nonlinear advection--diffusion equation arising in the study of Taylor--Aris (also known as shear) dispersion due to electroosmotic flow during electromigration in a capillary. An exact reduction to a Darboux equation is found under a traveling-wave anzats. The equilibria of this ordinary differential equation are analyzed, showing that their stability is determined solely by the (dimensionless) wave speed without regard to any (dimensionless) physical parameters. Integral curves, connecting the appropriate equilibria of the Darboux equation that gove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08277","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":"2026-05-18T01:12:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RMSQoF7nvZv4oMD1zNJWbOdxeOo09cuMt5aLyRg1bTO0MI0jI/roeAfTesdUblZPUyRj4Dy4YmOHIKE9d9UFBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T16:36:56.150918Z"},"content_sha256":"081a459e01ac4b82481650e7f26983968217eb0f21b92d8b2291e29b6ef32943","schema_version":"1.0","event_id":"sha256:081a459e01ac4b82481650e7f26983968217eb0f21b92d8b2291e29b6ef32943"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JXSBGUVSX37BWSDZPO5VBD35Q4/bundle.json","state_url":"https://pith.science/pith/JXSBGUVSX37BWSDZPO5VBD35Q4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JXSBGUVSX37BWSDZPO5VBD35Q4/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":"2026-05-31T16:36:56Z","links":{"resolver":"https://pith.science/pith/JXSBGUVSX37BWSDZPO5VBD35Q4","bundle":"https://pith.science/pith/JXSBGUVSX37BWSDZPO5VBD35Q4/bundle.json","state":"https://pith.science/pith/JXSBGUVSX37BWSDZPO5VBD35Q4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JXSBGUVSX37BWSDZPO5VBD35Q4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JXSBGUVSX37BWSDZPO5VBD35Q4","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":"6ab70e02c4962158a33b5332fdd736059b20920513b6b4a9047aaac8e8f4ff1c","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-03-28T01:19:53Z","title_canon_sha256":"a838906e32054c8aaa4d04feda8d692a62ef99d20305aca0457efd239a74e15f"},"schema_version":"1.0","source":{"id":"1603.08277","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08277","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08277v2","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08277","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"JXSBGUVSX37B","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JXSBGUVSX37BWSDZ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JXSBGUVS","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:081a459e01ac4b82481650e7f26983968217eb0f21b92d8b2291e29b6ef32943","target":"graph","created_at":"2026-05-18T01:12:11Z","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":"We construct exact solutions to an unusual nonlinear advection--diffusion equation arising in the study of Taylor--Aris (also known as shear) dispersion due to electroosmotic flow during electromigration in a capillary. An exact reduction to a Darboux equation is found under a traveling-wave anzats. The equilibria of this ordinary differential equation are analyzed, showing that their stability is determined solely by the (dimensionless) wave speed without regard to any (dimensionless) physical parameters. Integral curves, connecting the appropriate equilibria of the Darboux equation that gove","authors_text":"Ivan C. Christov","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-03-28T01:19:53Z","title":"Nonlinear waves in electromigration dispersion in a capillary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08277","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:a19d4a626bdef59629e72f6ce6797de91768cb3ee6a347fa39f6883e7beb0749","target":"record","created_at":"2026-05-18T01:12:11Z","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":"6ab70e02c4962158a33b5332fdd736059b20920513b6b4a9047aaac8e8f4ff1c","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-03-28T01:19:53Z","title_canon_sha256":"a838906e32054c8aaa4d04feda8d692a62ef99d20305aca0457efd239a74e15f"},"schema_version":"1.0","source":{"id":"1603.08277","kind":"arxiv","version":2}},"canonical_sha256":"4de41352b2befe1b48797bbb508f7d872b4edde1d6c7ef98e5307ababba23b35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4de41352b2befe1b48797bbb508f7d872b4edde1d6c7ef98e5307ababba23b35","first_computed_at":"2026-05-18T01:12:11.986695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:11.986695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2atOroc4S0qhUhEGQ/J6X39UXPqK/tzj4eTsW5Pr29mR27uLBg6exOJ4Mba/Hz72sv5/h3UrMTLHidt2O+o9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:11.987172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.08277","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a19d4a626bdef59629e72f6ce6797de91768cb3ee6a347fa39f6883e7beb0749","sha256:081a459e01ac4b82481650e7f26983968217eb0f21b92d8b2291e29b6ef32943"],"state_sha256":"883f23bfe2a261e376fb7f961a2bac5eb31659e38914c4e112790f7a29fd50ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XjXX1N+yfov3h4H7xOXOsUEOOlW4mhM+BaW/GsEEHAIZgf1NKocX0xIgd4NkgE8w73lUa05wOF9mmUNh5o2yBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T16:36:56.154375Z","bundle_sha256":"35e0051812cec0f87fc8a60aa161625051fdbf09c932b5dba32c781c83c4b12f"}}