{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:AIFPD4VHNP566YPT4OWR7ZAYRT","short_pith_number":"pith:AIFPD4VH","canonical_record":{"source":{"id":"1504.00561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-04-02T13:57:45Z","cross_cats_sorted":[],"title_canon_sha256":"4998326222e8ac7319263d4f74bacf3912a61f17eabab7b560909104612ce72d","abstract_canon_sha256":"7fce985d7978a3a097f8d6170ec3bdbec878ef6216c3c9e7636b263e910de5d4"},"schema_version":"1.0"},"canonical_sha256":"020af1f2a76bfbef61f3e3ad1fe4188cf9a458585f3c9d3430a1dd06443379f1","source":{"kind":"arxiv","id":"1504.00561","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00561","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00561v1","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00561","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"pith_short_12","alias_value":"AIFPD4VHNP56","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AIFPD4VHNP566YPT","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AIFPD4VH","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:AIFPD4VHNP566YPT4OWR7ZAYRT","target":"record","payload":{"canonical_record":{"source":{"id":"1504.00561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-04-02T13:57:45Z","cross_cats_sorted":[],"title_canon_sha256":"4998326222e8ac7319263d4f74bacf3912a61f17eabab7b560909104612ce72d","abstract_canon_sha256":"7fce985d7978a3a097f8d6170ec3bdbec878ef6216c3c9e7636b263e910de5d4"},"schema_version":"1.0"},"canonical_sha256":"020af1f2a76bfbef61f3e3ad1fe4188cf9a458585f3c9d3430a1dd06443379f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:49.349762Z","signature_b64":"+xJi7YCffIRm1CeBiwbTAr7knAEy5GI6KFFkMOHFlyneQFtavd/kRvmgGObQBeTv++D1Nh7yn13qKI+fIrmoDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"020af1f2a76bfbef61f3e3ad1fe4188cf9a458585f3c9d3430a1dd06443379f1","last_reissued_at":"2026-05-18T01:40:49.348956Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:49.348956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.00561","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":"2026-05-18T01:40:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mwl18FyybvkKslTnwXxL8XCZh0eLy8zH4IORXzVyqNO8jlhXESQ3ucg5dl5rNAvkpEcwZyHKnQ1qPBt4UfL9Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:09:14.084810Z"},"content_sha256":"1c97aa345a040a068ed68016e63c88a6f06edd2f83b4d5e539a94cf13d7bf8e1","schema_version":"1.0","event_id":"sha256:1c97aa345a040a068ed68016e63c88a6f06edd2f83b4d5e539a94cf13d7bf8e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:AIFPD4VHNP566YPT4OWR7ZAYRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modal and nonmodal stability analysis of electrohydrodynamic flow with and without cross-flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Fulvio Martinelli, Jian Wu, Maurizio Quadrio, Mengqi Zhang, Peter J. Schmid","submitted_at":"2015-04-02T13:57:45Z","abstract_excerpt":"We report the results of a complete modal and nonmodal linear stability analysis of the electrohydrodynamic flow (EHD) for the problem of electroconvection in the strong injection region. Convective cells are formed by Coulomb force in an insulating liquid residing between two plane electrodes subject to unipolar injection. Besides pure electroconvection, we also consider the case where a cross-flow is present, generated by a streamwise pressure gradient, in the form of a laminar Poiseuille flow. The effect of charge diffusion, often neglected in previous linear stability analyses, is included"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00561","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":"2026-05-18T01:40:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+PL2wBrfAehZ1Tt0lkJwUjwVIHYoc9krXZ7DmVT8ggKLJYwt+u8VYcAtQEgNHroiQqJMsVEYhfDbU0KBzqJBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:09:14.085158Z"},"content_sha256":"56861dc4269e8ec64496c6f8032b12d4ec73025c1e41a8bfac130d1eb46c91c2","schema_version":"1.0","event_id":"sha256:56861dc4269e8ec64496c6f8032b12d4ec73025c1e41a8bfac130d1eb46c91c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AIFPD4VHNP566YPT4OWR7ZAYRT/bundle.json","state_url":"https://pith.science/pith/AIFPD4VHNP566YPT4OWR7ZAYRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AIFPD4VHNP566YPT4OWR7ZAYRT/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":"2026-06-08T23:09:14Z","links":{"resolver":"https://pith.science/pith/AIFPD4VHNP566YPT4OWR7ZAYRT","bundle":"https://pith.science/pith/AIFPD4VHNP566YPT4OWR7ZAYRT/bundle.json","state":"https://pith.science/pith/AIFPD4VHNP566YPT4OWR7ZAYRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AIFPD4VHNP566YPT4OWR7ZAYRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AIFPD4VHNP566YPT4OWR7ZAYRT","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":"7fce985d7978a3a097f8d6170ec3bdbec878ef6216c3c9e7636b263e910de5d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-04-02T13:57:45Z","title_canon_sha256":"4998326222e8ac7319263d4f74bacf3912a61f17eabab7b560909104612ce72d"},"schema_version":"1.0","source":{"id":"1504.00561","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00561","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00561v1","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00561","created_at":"2026-05-18T01:40:49Z"},{"alias_kind":"pith_short_12","alias_value":"AIFPD4VHNP56","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AIFPD4VHNP566YPT","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AIFPD4VH","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:56861dc4269e8ec64496c6f8032b12d4ec73025c1e41a8bfac130d1eb46c91c2","target":"graph","created_at":"2026-05-18T01:40:49Z","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 report the results of a complete modal and nonmodal linear stability analysis of the electrohydrodynamic flow (EHD) for the problem of electroconvection in the strong injection region. Convective cells are formed by Coulomb force in an insulating liquid residing between two plane electrodes subject to unipolar injection. Besides pure electroconvection, we also consider the case where a cross-flow is present, generated by a streamwise pressure gradient, in the form of a laminar Poiseuille flow. The effect of charge diffusion, often neglected in previous linear stability analyses, is included","authors_text":"Fulvio Martinelli, Jian Wu, Maurizio Quadrio, Mengqi Zhang, Peter J. Schmid","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-04-02T13:57:45Z","title":"Modal and nonmodal stability analysis of electrohydrodynamic flow with and without cross-flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00561","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":"sha256:1c97aa345a040a068ed68016e63c88a6f06edd2f83b4d5e539a94cf13d7bf8e1","target":"record","created_at":"2026-05-18T01:40:49Z","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":"7fce985d7978a3a097f8d6170ec3bdbec878ef6216c3c9e7636b263e910de5d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-04-02T13:57:45Z","title_canon_sha256":"4998326222e8ac7319263d4f74bacf3912a61f17eabab7b560909104612ce72d"},"schema_version":"1.0","source":{"id":"1504.00561","kind":"arxiv","version":1}},"canonical_sha256":"020af1f2a76bfbef61f3e3ad1fe4188cf9a458585f3c9d3430a1dd06443379f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"020af1f2a76bfbef61f3e3ad1fe4188cf9a458585f3c9d3430a1dd06443379f1","first_computed_at":"2026-05-18T01:40:49.348956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:49.348956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+xJi7YCffIRm1CeBiwbTAr7knAEy5GI6KFFkMOHFlyneQFtavd/kRvmgGObQBeTv++D1Nh7yn13qKI+fIrmoDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:49.349762Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.00561","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c97aa345a040a068ed68016e63c88a6f06edd2f83b4d5e539a94cf13d7bf8e1","sha256:56861dc4269e8ec64496c6f8032b12d4ec73025c1e41a8bfac130d1eb46c91c2"],"state_sha256":"04029a8068dc0f9354844dc58d5dacd23de2b739eba58e4fe68e263d06cc73a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ux5ZBN9zXLbyKCB1uUr67+dOaReMvV7EsEb8EQ6VcdDYOFxL1jPSJoztXweYngZVxx+My/3sWUvRh8aPYWprDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:09:14.087066Z","bundle_sha256":"2eeee39beaf043ba3919e6b6f4b65ef7ea306d43330ed5b7d44c36bbeb6aa76f"}}