{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:AIOLUPKHGNSHWKMRNLKNX365C7","short_pith_number":"pith:AIOLUPKH","schema_version":"1.0","canonical_sha256":"021cba3d4733647b29916ad4dbefdd17ce5e43a3abadafb1354a2968b208903b","source":{"kind":"arxiv","id":"physics/9810049","version":1},"attestation_state":"computed","paper":{"title":"Formation of Power-law Energy Spectra in Space Plasmas by Stochastic Acceleration due to Whistler-Mode Waves","license":"","headline":"","cross_cats":["astro-ph","physics.space-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Chun-yu Ma, Danny Summers","submitted_at":"1998-10-26T21:03:48Z","abstract_excerpt":"A non-relativistic Fokker-Planck equation for the electron distribution function is formulated incorporating the effects of stochastic acceleration by whistler-mode waves and Coulomb collisions. The stationary solution $f$ to the equation, subject to a zero-flux boundary condition, is found to be a generalized Lorentzian (or kappa) distribution, which satisfies $f\\propto v^{-2(\\kappa+1)}$ for large velocity $v$, where $\\kappa$ is the spectral index. The parameter $\\kappa$ depends strongly on the relative wave intensity $R$. Taking into account the critical energy required for resonance of elec"},"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":"physics/9810049","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.plasm-ph","submitted_at":"1998-10-26T21:03:48Z","cross_cats_sorted":["astro-ph","physics.space-ph"],"title_canon_sha256":"358471b9574f62b4571486a47f684978cd92a7c368a32ba72b97db50911a29a4","abstract_canon_sha256":"9019c66d7c51ef38937d4cff894ebbf90c6c6e9ab9b22296f5d24f209ff4c668"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:04.269526Z","signature_b64":"ODuq1CmMVKY69ncKfTCkjDtPaoKgxbODDOq1wEGHbenTu2346qOfyC3+S6lOHFKfr4Y22X5caKt71Ft5x3+8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"021cba3d4733647b29916ad4dbefdd17ce5e43a3abadafb1354a2968b208903b","last_reissued_at":"2026-05-18T01:38:04.268993Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:04.268993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Formation of Power-law Energy Spectra in Space Plasmas by Stochastic Acceleration due to Whistler-Mode Waves","license":"","headline":"","cross_cats":["astro-ph","physics.space-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Chun-yu Ma, Danny Summers","submitted_at":"1998-10-26T21:03:48Z","abstract_excerpt":"A non-relativistic Fokker-Planck equation for the electron distribution function is formulated incorporating the effects of stochastic acceleration by whistler-mode waves and Coulomb collisions. The stationary solution $f$ to the equation, subject to a zero-flux boundary condition, is found to be a generalized Lorentzian (or kappa) distribution, which satisfies $f\\propto v^{-2(\\kappa+1)}$ for large velocity $v$, where $\\kappa$ is the spectral index. The parameter $\\kappa$ depends strongly on the relative wave intensity $R$. Taking into account the critical energy required for resonance of elec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9810049","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":"physics/9810049","created_at":"2026-05-18T01:38:04.269076+00:00"},{"alias_kind":"arxiv_version","alias_value":"physics/9810049v1","created_at":"2026-05-18T01:38:04.269076+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9810049","created_at":"2026-05-18T01:38:04.269076+00:00"},{"alias_kind":"pith_short_12","alias_value":"AIOLUPKHGNSH","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"AIOLUPKHGNSHWKMR","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"AIOLUPKH","created_at":"2026-05-18T12:25:49.038998+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/AIOLUPKHGNSHWKMRNLKNX365C7","json":"https://pith.science/pith/AIOLUPKHGNSHWKMRNLKNX365C7.json","graph_json":"https://pith.science/api/pith-number/AIOLUPKHGNSHWKMRNLKNX365C7/graph.json","events_json":"https://pith.science/api/pith-number/AIOLUPKHGNSHWKMRNLKNX365C7/events.json","paper":"https://pith.science/paper/AIOLUPKH"},"agent_actions":{"view_html":"https://pith.science/pith/AIOLUPKHGNSHWKMRNLKNX365C7","download_json":"https://pith.science/pith/AIOLUPKHGNSHWKMRNLKNX365C7.json","view_paper":"https://pith.science/paper/AIOLUPKH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=physics/9810049&json=true","fetch_graph":"https://pith.science/api/pith-number/AIOLUPKHGNSHWKMRNLKNX365C7/graph.json","fetch_events":"https://pith.science/api/pith-number/AIOLUPKHGNSHWKMRNLKNX365C7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AIOLUPKHGNSHWKMRNLKNX365C7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AIOLUPKHGNSHWKMRNLKNX365C7/action/storage_attestation","attest_author":"https://pith.science/pith/AIOLUPKHGNSHWKMRNLKNX365C7/action/author_attestation","sign_citation":"https://pith.science/pith/AIOLUPKHGNSHWKMRNLKNX365C7/action/citation_signature","submit_replication":"https://pith.science/pith/AIOLUPKHGNSHWKMRNLKNX365C7/action/replication_record"}},"created_at":"2026-05-18T01:38:04.269076+00:00","updated_at":"2026-05-18T01:38:04.269076+00:00"}