{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IZMWW5FFI5LYMIDST7AESEQEUH","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":"243719f8c3d05b0dae66ec5e9f86716cba1d21c1a6eec3ab4c2e45445e357205","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-21T18:05:06Z","title_canon_sha256":"2dd5f45bb4b5548cb9a9cd27b37192db6a4c4631471794ff8de91df354441e9e"},"schema_version":"1.0","source":{"id":"1812.09294","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.09294","created_at":"2026-05-17T23:39:55Z"},{"alias_kind":"arxiv_version","alias_value":"1812.09294v2","created_at":"2026-05-17T23:39:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.09294","created_at":"2026-05-17T23:39:55Z"},{"alias_kind":"pith_short_12","alias_value":"IZMWW5FFI5LY","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IZMWW5FFI5LYMIDS","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IZMWW5FF","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:263bf22a0642e682cae19b31ff25e5627cd5c96c00826dfc163bd4b0a36fc397","target":"graph","created_at":"2026-05-17T23:39:55Z","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":"Impulse formulations of the Euler (and Navier-Stokes) equations were considered by Kuz'min [1] and Oseledets [2] and different impulse formulations are produced by various gauge transformations (Russo and Smereka[3]). The extension of the Kuz'min-Oseledets formulation to the compressible, barotropic case was considered by Tur and Yanovsky [4] and Shivamoggi [5]. Here, we construct exact solutions for the fluid impulse density for incompressible and compressible barotropic flows and discuss their physical signifcance.","authors_text":"B. K. Shivamoggi, M. Michalak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-21T18:05:06Z","title":"Exact Solutions for the Fluid Impulse for Incompressible and Compressible Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.09294","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":"sha256:5275098ed269ef5eccf7e51024a3b966b51a1701e17b49eabdc3dd018c9a6272","target":"record","created_at":"2026-05-17T23:39:55Z","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":"243719f8c3d05b0dae66ec5e9f86716cba1d21c1a6eec3ab4c2e45445e357205","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-21T18:05:06Z","title_canon_sha256":"2dd5f45bb4b5548cb9a9cd27b37192db6a4c4631471794ff8de91df354441e9e"},"schema_version":"1.0","source":{"id":"1812.09294","kind":"arxiv","version":2}},"canonical_sha256":"46596b74a547578620729fc0491204a1c1a7fee3ca08969ca728ef1b86318b52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46596b74a547578620729fc0491204a1c1a7fee3ca08969ca728ef1b86318b52","first_computed_at":"2026-05-17T23:39:55.506126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:55.506126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QPNLywJkOmtm2D0YZ81WkHwhZ2eMLK+0KZomaBBFn9BekO0XvsYK6L0y75YxKUYvXdbt66LTsjC41MvMuvhCDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:55.506770Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.09294","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5275098ed269ef5eccf7e51024a3b966b51a1701e17b49eabdc3dd018c9a6272","sha256:263bf22a0642e682cae19b31ff25e5627cd5c96c00826dfc163bd4b0a36fc397"],"state_sha256":"e4fe40bc2b78e690726971606c125f1f2ac96d3c1d9420711d8d6eb49f6f5bf4"}