{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:QDRNGDVBE5VT3MB63RL2FUTO6Q","short_pith_number":"pith:QDRNGDVB","schema_version":"1.0","canonical_sha256":"80e2d30ea1276b3db03edc57a2d26ef407d8dd5b8c6262df7ed51cdb4ad56e51","source":{"kind":"arxiv","id":"1110.0997","version":1},"attestation_state":"computed","paper":{"title":"Quadratic helicities and the energy of magnetic fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.MP"],"primary_cat":"math-ph","authors_text":"Petr M. Akhmet'ev","submitted_at":"2011-10-05T14:21:04Z","abstract_excerpt":"Two non-local asymptotic invariants of magnetic fields for the ideal magnetohydrodynamics are introduced. The velocity of variation of the invariants for a non-ideal magnetohydrodynamics with a small magnetic dissipation is estimated. By means of the invariants the spectra of electromagnetic fields are investigated. A possible role of higher magnetic helicities during a relaxation of magnetic fields is discussed."},"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":"1110.0997","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-10-05T14:21:04Z","cross_cats_sorted":["math.GT","math.MP"],"title_canon_sha256":"a1b9d21a2f2f5d96572e97357dc24bb59114179428b38e710ad7bb42c2abff37","abstract_canon_sha256":"122cbc4ff1f9a7391e4aa903838357d1c78291dbe03e56cac4910046579a97de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:40.052014Z","signature_b64":"egN9AIZG97CdEHEVcTwwcnOaASoEDRhiBGeh6sGUdYKgjjdb37CU/S3mPJuGPqAk4aX8/ZyV9YTjyaTYCMkCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80e2d30ea1276b3db03edc57a2d26ef407d8dd5b8c6262df7ed51cdb4ad56e51","last_reissued_at":"2026-05-18T04:11:40.051611Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:40.051611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quadratic helicities and the energy of magnetic fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.MP"],"primary_cat":"math-ph","authors_text":"Petr M. Akhmet'ev","submitted_at":"2011-10-05T14:21:04Z","abstract_excerpt":"Two non-local asymptotic invariants of magnetic fields for the ideal magnetohydrodynamics are introduced. The velocity of variation of the invariants for a non-ideal magnetohydrodynamics with a small magnetic dissipation is estimated. By means of the invariants the spectra of electromagnetic fields are investigated. A possible role of higher magnetic helicities during a relaxation of magnetic fields is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0997","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":"1110.0997","created_at":"2026-05-18T04:11:40.051675+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.0997v1","created_at":"2026-05-18T04:11:40.051675+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0997","created_at":"2026-05-18T04:11:40.051675+00:00"},{"alias_kind":"pith_short_12","alias_value":"QDRNGDVBE5VT","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_16","alias_value":"QDRNGDVBE5VT3MB6","created_at":"2026-05-18T12:26:39.201973+00:00"},{"alias_kind":"pith_short_8","alias_value":"QDRNGDVB","created_at":"2026-05-18T12:26:39.201973+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/QDRNGDVBE5VT3MB63RL2FUTO6Q","json":"https://pith.science/pith/QDRNGDVBE5VT3MB63RL2FUTO6Q.json","graph_json":"https://pith.science/api/pith-number/QDRNGDVBE5VT3MB63RL2FUTO6Q/graph.json","events_json":"https://pith.science/api/pith-number/QDRNGDVBE5VT3MB63RL2FUTO6Q/events.json","paper":"https://pith.science/paper/QDRNGDVB"},"agent_actions":{"view_html":"https://pith.science/pith/QDRNGDVBE5VT3MB63RL2FUTO6Q","download_json":"https://pith.science/pith/QDRNGDVBE5VT3MB63RL2FUTO6Q.json","view_paper":"https://pith.science/paper/QDRNGDVB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.0997&json=true","fetch_graph":"https://pith.science/api/pith-number/QDRNGDVBE5VT3MB63RL2FUTO6Q/graph.json","fetch_events":"https://pith.science/api/pith-number/QDRNGDVBE5VT3MB63RL2FUTO6Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QDRNGDVBE5VT3MB63RL2FUTO6Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QDRNGDVBE5VT3MB63RL2FUTO6Q/action/storage_attestation","attest_author":"https://pith.science/pith/QDRNGDVBE5VT3MB63RL2FUTO6Q/action/author_attestation","sign_citation":"https://pith.science/pith/QDRNGDVBE5VT3MB63RL2FUTO6Q/action/citation_signature","submit_replication":"https://pith.science/pith/QDRNGDVBE5VT3MB63RL2FUTO6Q/action/replication_record"}},"created_at":"2026-05-18T04:11:40.051675+00:00","updated_at":"2026-05-18T04:11:40.051675+00:00"}