{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:EP2VWUTSCVSABAHHAL3HCUNZ5P","short_pith_number":"pith:EP2VWUTS","schema_version":"1.0","canonical_sha256":"23f55b527215640080e702f67151b9ebc76a9504e64e48e4575838efd9eec867","source":{"kind":"arxiv","id":"1111.2700","version":1},"attestation_state":"computed","paper":{"title":"The $h$-principle and the equations of fluid dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Camillo De Lellis, L\\'aszl\\'o Sz\\'ekelyhidi Jr","submitted_at":"2011-11-11T10:22:03Z","abstract_excerpt":"In this note we survey some recent results for the Euler equations in compressible and incompressible fluid dynamics. The main point of all these theorems is the surprising fact that a suitable variant of Gromov's $h$-principle holds in several cases."},"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":"1111.2700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-11T10:22:03Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"84cadd1b4f9049940c3ea86e90cca3d79d7155e887c52e8f552214e6e94270b4","abstract_canon_sha256":"1976d4aae2a11f91688b61b908d1f63fc60f671953561b14201aced23ba5c557"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:32.948820Z","signature_b64":"v0bpN4dKLy+y6O0d+nh768diWhUYit1wOZSL+XsnKekdlHPPPzUV/GjogoxTQ6K7u68s/PeF5koIkvJAh85wDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23f55b527215640080e702f67151b9ebc76a9504e64e48e4575838efd9eec867","last_reissued_at":"2026-05-18T04:08:32.948225Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:32.948225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The $h$-principle and the equations of fluid dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Camillo De Lellis, L\\'aszl\\'o Sz\\'ekelyhidi Jr","submitted_at":"2011-11-11T10:22:03Z","abstract_excerpt":"In this note we survey some recent results for the Euler equations in compressible and incompressible fluid dynamics. The main point of all these theorems is the surprising fact that a suitable variant of Gromov's $h$-principle holds in several cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2700","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":"1111.2700","created_at":"2026-05-18T04:08:32.948324+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.2700v1","created_at":"2026-05-18T04:08:32.948324+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2700","created_at":"2026-05-18T04:08:32.948324+00:00"},{"alias_kind":"pith_short_12","alias_value":"EP2VWUTSCVSA","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"EP2VWUTSCVSABAHH","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"EP2VWUTS","created_at":"2026-05-18T12:26:28.662955+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/EP2VWUTSCVSABAHHAL3HCUNZ5P","json":"https://pith.science/pith/EP2VWUTSCVSABAHHAL3HCUNZ5P.json","graph_json":"https://pith.science/api/pith-number/EP2VWUTSCVSABAHHAL3HCUNZ5P/graph.json","events_json":"https://pith.science/api/pith-number/EP2VWUTSCVSABAHHAL3HCUNZ5P/events.json","paper":"https://pith.science/paper/EP2VWUTS"},"agent_actions":{"view_html":"https://pith.science/pith/EP2VWUTSCVSABAHHAL3HCUNZ5P","download_json":"https://pith.science/pith/EP2VWUTSCVSABAHHAL3HCUNZ5P.json","view_paper":"https://pith.science/paper/EP2VWUTS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.2700&json=true","fetch_graph":"https://pith.science/api/pith-number/EP2VWUTSCVSABAHHAL3HCUNZ5P/graph.json","fetch_events":"https://pith.science/api/pith-number/EP2VWUTSCVSABAHHAL3HCUNZ5P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EP2VWUTSCVSABAHHAL3HCUNZ5P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EP2VWUTSCVSABAHHAL3HCUNZ5P/action/storage_attestation","attest_author":"https://pith.science/pith/EP2VWUTSCVSABAHHAL3HCUNZ5P/action/author_attestation","sign_citation":"https://pith.science/pith/EP2VWUTSCVSABAHHAL3HCUNZ5P/action/citation_signature","submit_replication":"https://pith.science/pith/EP2VWUTSCVSABAHHAL3HCUNZ5P/action/replication_record"}},"created_at":"2026-05-18T04:08:32.948324+00:00","updated_at":"2026-05-18T04:08:32.948324+00:00"}