{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:Q42PVLVH6MIP27Z7QKIOWNGXR6","short_pith_number":"pith:Q42PVLVH","schema_version":"1.0","canonical_sha256":"8734faaea7f310fd7f3f8290eb34d78f999fd6def24e65d677b95f84bc6f980b","source":{"kind":"arxiv","id":"1508.06423","version":1},"attestation_state":"computed","paper":{"title":"Variational principle for non-linear wave propagation in dissipative systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.PS","authors_text":"Hans Dierckx, Henri Verschelde","submitted_at":"2015-08-26T09:37:03Z","abstract_excerpt":"The dynamics of many natural systems is dominated by non-linear waves propagating through the medium. We show that the dynamics of non-linear wave fronts with positive surface tension can be formulated as a gradient system. The variational potential is simply given by a linear combination of the occupied volume and surface area of the wave front, and changes monotonically in time. Finally, we demonstrate that vortex filaments can be written as a gradient system only if their binormal velocity component vanishes, which occurs in chemical system with equal diffusion of reactants."},"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":"1508.06423","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-08-26T09:37:03Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4f7f0934caf22fd1595187387246c2d878428b1e03619ca47104504a51fbc5ab","abstract_canon_sha256":"0463647816a3f69e64b9007986c4daf1ab294d261e263c2d1e4f587d0a4fd9d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:11.450561Z","signature_b64":"XzXhYgn4DluhdHPw+CkFimVR1uS7ZqHzXRiBTP9cE2hBznMUvT7FHbxBER1S+Y088Y3fY2jrWQZhMCODfAv7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8734faaea7f310fd7f3f8290eb34d78f999fd6def24e65d677b95f84bc6f980b","last_reissued_at":"2026-05-18T01:20:11.449905Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:11.449905Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variational principle for non-linear wave propagation in dissipative systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.PS","authors_text":"Hans Dierckx, Henri Verschelde","submitted_at":"2015-08-26T09:37:03Z","abstract_excerpt":"The dynamics of many natural systems is dominated by non-linear waves propagating through the medium. We show that the dynamics of non-linear wave fronts with positive surface tension can be formulated as a gradient system. The variational potential is simply given by a linear combination of the occupied volume and surface area of the wave front, and changes monotonically in time. Finally, we demonstrate that vortex filaments can be written as a gradient system only if their binormal velocity component vanishes, which occurs in chemical system with equal diffusion of reactants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06423","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":"1508.06423","created_at":"2026-05-18T01:20:11.450029+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.06423v1","created_at":"2026-05-18T01:20:11.450029+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06423","created_at":"2026-05-18T01:20:11.450029+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q42PVLVH6MIP","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q42PVLVH6MIP27Z7","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q42PVLVH","created_at":"2026-05-18T12:29:37.295048+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/Q42PVLVH6MIP27Z7QKIOWNGXR6","json":"https://pith.science/pith/Q42PVLVH6MIP27Z7QKIOWNGXR6.json","graph_json":"https://pith.science/api/pith-number/Q42PVLVH6MIP27Z7QKIOWNGXR6/graph.json","events_json":"https://pith.science/api/pith-number/Q42PVLVH6MIP27Z7QKIOWNGXR6/events.json","paper":"https://pith.science/paper/Q42PVLVH"},"agent_actions":{"view_html":"https://pith.science/pith/Q42PVLVH6MIP27Z7QKIOWNGXR6","download_json":"https://pith.science/pith/Q42PVLVH6MIP27Z7QKIOWNGXR6.json","view_paper":"https://pith.science/paper/Q42PVLVH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.06423&json=true","fetch_graph":"https://pith.science/api/pith-number/Q42PVLVH6MIP27Z7QKIOWNGXR6/graph.json","fetch_events":"https://pith.science/api/pith-number/Q42PVLVH6MIP27Z7QKIOWNGXR6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q42PVLVH6MIP27Z7QKIOWNGXR6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q42PVLVH6MIP27Z7QKIOWNGXR6/action/storage_attestation","attest_author":"https://pith.science/pith/Q42PVLVH6MIP27Z7QKIOWNGXR6/action/author_attestation","sign_citation":"https://pith.science/pith/Q42PVLVH6MIP27Z7QKIOWNGXR6/action/citation_signature","submit_replication":"https://pith.science/pith/Q42PVLVH6MIP27Z7QKIOWNGXR6/action/replication_record"}},"created_at":"2026-05-18T01:20:11.450029+00:00","updated_at":"2026-05-18T01:20:11.450029+00:00"}