{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:J6B73C5TULIF5CU2SU4X7DOQB5","short_pith_number":"pith:J6B73C5T","schema_version":"1.0","canonical_sha256":"4f83fd8bb3a2d05e8a9a95397f8dd00f5e3f4b52f2b7788002ae412475850342","source":{"kind":"arxiv","id":"1601.05031","version":1},"attestation_state":"computed","paper":{"title":"Vorticity and Symplecticity in Multi-Symplectic Lagrangian Gas Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"G. M. Webb, S.C. Anco","submitted_at":"2016-01-19T18:39:36Z","abstract_excerpt":"The Lagrangian, multi-dimensional, ideal, compressible gasdynamic equations are written in a multi-symplectic form, in which the Lagrangian fluid labels, $m^i$ (the Lagrangian mass coordinates) and time $t$ are the independent variables, and in which the Eulerian position of the fluid element ${\\bf x}={\\bf x}({\\bf m},t)$ and the entropy $S=S({\\bf m},t)$ are the dependent variables. Constraints in the variational principle are incorporated by means of Lagrange multipliers. The constraints are: the entropy advection equation $S_t=0$, the Lagrangian map equation ${\\bf x}_t={\\bf u}$ where ${\\bf u}"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1601.05031","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-19T18:39:36Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"82743bb53f4e5aaad41323b44d8c52cb518eebe7993e911193c2bc2899f4bca0","abstract_canon_sha256":"1b6653e9f5b9ba8e83c01cfe85421ed390b28f7d9eca12cd37b2c590aee6246d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:38.554901Z","signature_b64":"pPGAKILoXQX5YKvb6PeAcNKvZnlfXtfeDRdWYd2wLPh8fwgQUy5u/dhaZEQfy/wchlo0CYBUYZRHaCTOoXQQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f83fd8bb3a2d05e8a9a95397f8dd00f5e3f4b52f2b7788002ae412475850342","last_reissued_at":"2026-05-18T01:20:38.554260Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:38.554260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vorticity and Symplecticity in Multi-Symplectic Lagrangian Gas Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"G. M. Webb, S.C. Anco","submitted_at":"2016-01-19T18:39:36Z","abstract_excerpt":"The Lagrangian, multi-dimensional, ideal, compressible gasdynamic equations are written in a multi-symplectic form, in which the Lagrangian fluid labels, $m^i$ (the Lagrangian mass coordinates) and time $t$ are the independent variables, and in which the Eulerian position of the fluid element ${\\bf x}={\\bf x}({\\bf m},t)$ and the entropy $S=S({\\bf m},t)$ are the dependent variables. Constraints in the variational principle are incorporated by means of Lagrange multipliers. The constraints are: the entropy advection equation $S_t=0$, the Lagrangian map equation ${\\bf x}_t={\\bf u}$ where ${\\bf u}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05031","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1601.05031","created_at":"2026-05-18T01:20:38.554353+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.05031v1","created_at":"2026-05-18T01:20:38.554353+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05031","created_at":"2026-05-18T01:20:38.554353+00:00"},{"alias_kind":"pith_short_12","alias_value":"J6B73C5TULIF","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"J6B73C5TULIF5CU2","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"J6B73C5T","created_at":"2026-05-18T12:30:22.444734+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/J6B73C5TULIF5CU2SU4X7DOQB5","json":"https://pith.science/pith/J6B73C5TULIF5CU2SU4X7DOQB5.json","graph_json":"https://pith.science/api/pith-number/J6B73C5TULIF5CU2SU4X7DOQB5/graph.json","events_json":"https://pith.science/api/pith-number/J6B73C5TULIF5CU2SU4X7DOQB5/events.json","paper":"https://pith.science/paper/J6B73C5T"},"agent_actions":{"view_html":"https://pith.science/pith/J6B73C5TULIF5CU2SU4X7DOQB5","download_json":"https://pith.science/pith/J6B73C5TULIF5CU2SU4X7DOQB5.json","view_paper":"https://pith.science/paper/J6B73C5T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.05031&json=true","fetch_graph":"https://pith.science/api/pith-number/J6B73C5TULIF5CU2SU4X7DOQB5/graph.json","fetch_events":"https://pith.science/api/pith-number/J6B73C5TULIF5CU2SU4X7DOQB5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J6B73C5TULIF5CU2SU4X7DOQB5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J6B73C5TULIF5CU2SU4X7DOQB5/action/storage_attestation","attest_author":"https://pith.science/pith/J6B73C5TULIF5CU2SU4X7DOQB5/action/author_attestation","sign_citation":"https://pith.science/pith/J6B73C5TULIF5CU2SU4X7DOQB5/action/citation_signature","submit_replication":"https://pith.science/pith/J6B73C5TULIF5CU2SU4X7DOQB5/action/replication_record"}},"created_at":"2026-05-18T01:20:38.554353+00:00","updated_at":"2026-05-18T01:20:38.554353+00:00"}