{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:4I4POQJKC6Y2222PERNWZJTPQW","short_pith_number":"pith:4I4POQJK","schema_version":"1.0","canonical_sha256":"e238f7412a17b1ad6b4f245b6ca66f85a240c411448e0f728f904aa4755227a4","source":{"kind":"arxiv","id":"1107.1595","version":1},"attestation_state":"computed","paper":{"title":"Global existence for the Euler-Maxwell system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Nader Masmoudi, Pierre Germain","submitted_at":"2011-07-08T10:01:42Z","abstract_excerpt":"The Euler-Maxwell system describes the evolution of a plasma when the collisions are important enough that each species is in a hydrodynamic equilibrium. In this paper we prove global existence of small solutions to this system set in the whole three-dimensional space, by combining the space-time resonance method, dispersive estimates, localization estimates and energy estimates. An important novelty is that we can prove a very slow growth of high derivatives even with a nonintegrable decay by reiterating the energy estimate."},"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":"1107.1595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-07-08T10:01:42Z","cross_cats_sorted":[],"title_canon_sha256":"111c463bffb9bb0f36ce7fbb29c1eb1d4928fb96d724afae4dc2190e317c4b85","abstract_canon_sha256":"3b82aba6d5447b9fec0d61409553197bca0ee22bb635d6263c276861a1a83e48"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:35.357023Z","signature_b64":"hXgfBgT/37pf2K9gLF1XGRTYHVHfhlnNKuRDbMFvV+nbm7z6KStQYxh7GWC7LcxPSQtFuuSRFIvqLrELLdyoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e238f7412a17b1ad6b4f245b6ca66f85a240c411448e0f728f904aa4755227a4","last_reissued_at":"2026-05-18T04:18:35.356503Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:35.356503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global existence for the Euler-Maxwell system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Nader Masmoudi, Pierre Germain","submitted_at":"2011-07-08T10:01:42Z","abstract_excerpt":"The Euler-Maxwell system describes the evolution of a plasma when the collisions are important enough that each species is in a hydrodynamic equilibrium. In this paper we prove global existence of small solutions to this system set in the whole three-dimensional space, by combining the space-time resonance method, dispersive estimates, localization estimates and energy estimates. An important novelty is that we can prove a very slow growth of high derivatives even with a nonintegrable decay by reiterating the energy estimate."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1595","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":"1107.1595","created_at":"2026-05-18T04:18:35.356573+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.1595v1","created_at":"2026-05-18T04:18:35.356573+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1595","created_at":"2026-05-18T04:18:35.356573+00:00"},{"alias_kind":"pith_short_12","alias_value":"4I4POQJKC6Y2","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"4I4POQJKC6Y2222P","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"4I4POQJK","created_at":"2026-05-18T12:26:20.644004+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/4I4POQJKC6Y2222PERNWZJTPQW","json":"https://pith.science/pith/4I4POQJKC6Y2222PERNWZJTPQW.json","graph_json":"https://pith.science/api/pith-number/4I4POQJKC6Y2222PERNWZJTPQW/graph.json","events_json":"https://pith.science/api/pith-number/4I4POQJKC6Y2222PERNWZJTPQW/events.json","paper":"https://pith.science/paper/4I4POQJK"},"agent_actions":{"view_html":"https://pith.science/pith/4I4POQJKC6Y2222PERNWZJTPQW","download_json":"https://pith.science/pith/4I4POQJKC6Y2222PERNWZJTPQW.json","view_paper":"https://pith.science/paper/4I4POQJK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.1595&json=true","fetch_graph":"https://pith.science/api/pith-number/4I4POQJKC6Y2222PERNWZJTPQW/graph.json","fetch_events":"https://pith.science/api/pith-number/4I4POQJKC6Y2222PERNWZJTPQW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4I4POQJKC6Y2222PERNWZJTPQW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4I4POQJKC6Y2222PERNWZJTPQW/action/storage_attestation","attest_author":"https://pith.science/pith/4I4POQJKC6Y2222PERNWZJTPQW/action/author_attestation","sign_citation":"https://pith.science/pith/4I4POQJKC6Y2222PERNWZJTPQW/action/citation_signature","submit_replication":"https://pith.science/pith/4I4POQJKC6Y2222PERNWZJTPQW/action/replication_record"}},"created_at":"2026-05-18T04:18:35.356573+00:00","updated_at":"2026-05-18T04:18:35.356573+00:00"}