{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VUVR3ZDSUCBTFIIOAGUOMDSYE4","short_pith_number":"pith:VUVR3ZDS","canonical_record":{"source":{"id":"1111.1506","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-11-07T08:55:54Z","cross_cats_sorted":["math.AP","physics.plasm-ph"],"title_canon_sha256":"1b19554456ace35521025c0f065a3f8677c55fa3512973a3bef8b7dd63a373c6","abstract_canon_sha256":"a40e5b9ff90416339e4584fe209ccd108d41b30394a9e38eb359543e6c01cc6b"},"schema_version":"1.0"},"canonical_sha256":"ad2b1de472a08332a10e01a8e60e5827188c75a367659dfb963d4897fb7cf839","source":{"kind":"arxiv","id":"1111.1506","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1506","created_at":"2026-05-18T03:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1506v3","created_at":"2026-05-18T03:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1506","created_at":"2026-05-18T03:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"VUVR3ZDSUCBT","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VUVR3ZDSUCBTFIIO","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VUVR3ZDS","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VUVR3ZDSUCBTFIIOAGUOMDSYE4","target":"record","payload":{"canonical_record":{"source":{"id":"1111.1506","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-11-07T08:55:54Z","cross_cats_sorted":["math.AP","physics.plasm-ph"],"title_canon_sha256":"1b19554456ace35521025c0f065a3f8677c55fa3512973a3bef8b7dd63a373c6","abstract_canon_sha256":"a40e5b9ff90416339e4584fe209ccd108d41b30394a9e38eb359543e6c01cc6b"},"schema_version":"1.0"},"canonical_sha256":"ad2b1de472a08332a10e01a8e60e5827188c75a367659dfb963d4897fb7cf839","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:32.275344Z","signature_b64":"XFRy/nV5iZkbzLy79UNY9hrKEW4D61ZFwX8YYkQUm8+EaEgkGmPZTeYOc9Vtvn/rq0/B1XJsIV6qtJ9kZCzdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad2b1de472a08332a10e01a8e60e5827188c75a367659dfb963d4897fb7cf839","last_reissued_at":"2026-05-18T03:41:32.274671Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:32.274671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.1506","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:41:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"86E5dGfWlc80UaY0xro+W7AdeQiIpBmVXM4bJG72y51igtuux4AdhIumxusfOa3CYvNP6UWMt5gSHsUjlkB1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:48:05.786471Z"},"content_sha256":"2d74861d0cddfb6ebf11e53766ca01c01439d3358c3f642e9d7c22dadc074a2b","schema_version":"1.0","event_id":"sha256:2d74861d0cddfb6ebf11e53766ca01c01439d3358c3f642e9d7c22dadc074a2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VUVR3ZDSUCBTFIIOAGUOMDSYE4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","physics.plasm-ph"],"primary_cat":"math.FA","authors_text":"Alexandre Mouton, Emmanuel Frenod (Lab-STICC, Inria - Irmar), INRIA Nancy - Grand Est / IECN / LSIIT / IRMA), Nicolas Crouseilles (IRMAR, Sever Hirstoaga (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA)","submitted_at":"2011-11-07T08:55:54Z","abstract_excerpt":"In this paper, we build a Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. This consists in writing the solution of this equation as a sum of two oscillating functions with circonscribed oscillations. The first of these functions has a shape which is close to the shape of the Two-Scale limit of the solution and the second one is a correction built to offset this imposed shape. The aim of such a decomposition is to be the starting point for the construction of Two-Scale Asymptotic-Preserving Schemes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1506","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:41:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IL7JyMRxxZUIggK48X18NfAHIlYUEDw8x7Fa9jIlmVslLei8ItnaH3kO98OtaAf8M0C8znMQOJ9jVCnzi/QiBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:48:05.786831Z"},"content_sha256":"f4bcffe22d467fb026932486aad85b7464f00189c93f34020be751e3d5de10b1","schema_version":"1.0","event_id":"sha256:f4bcffe22d467fb026932486aad85b7464f00189c93f34020be751e3d5de10b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VUVR3ZDSUCBTFIIOAGUOMDSYE4/bundle.json","state_url":"https://pith.science/pith/VUVR3ZDSUCBTFIIOAGUOMDSYE4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VUVR3ZDSUCBTFIIOAGUOMDSYE4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T09:48:05Z","links":{"resolver":"https://pith.science/pith/VUVR3ZDSUCBTFIIOAGUOMDSYE4","bundle":"https://pith.science/pith/VUVR3ZDSUCBTFIIOAGUOMDSYE4/bundle.json","state":"https://pith.science/pith/VUVR3ZDSUCBTFIIOAGUOMDSYE4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VUVR3ZDSUCBTFIIOAGUOMDSYE4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VUVR3ZDSUCBTFIIOAGUOMDSYE4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a40e5b9ff90416339e4584fe209ccd108d41b30394a9e38eb359543e6c01cc6b","cross_cats_sorted":["math.AP","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-11-07T08:55:54Z","title_canon_sha256":"1b19554456ace35521025c0f065a3f8677c55fa3512973a3bef8b7dd63a373c6"},"schema_version":"1.0","source":{"id":"1111.1506","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1506","created_at":"2026-05-18T03:41:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1506v3","created_at":"2026-05-18T03:41:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1506","created_at":"2026-05-18T03:41:32Z"},{"alias_kind":"pith_short_12","alias_value":"VUVR3ZDSUCBT","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VUVR3ZDSUCBTFIIO","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VUVR3ZDS","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:f4bcffe22d467fb026932486aad85b7464f00189c93f34020be751e3d5de10b1","target":"graph","created_at":"2026-05-18T03:41:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we build a Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. This consists in writing the solution of this equation as a sum of two oscillating functions with circonscribed oscillations. The first of these functions has a shape which is close to the shape of the Two-Scale limit of the solution and the second one is a correction built to offset this imposed shape. The aim of such a decomposition is to be the starting point for the construction of Two-Scale Asymptotic-Preserving Schemes.","authors_text":"Alexandre Mouton, Emmanuel Frenod (Lab-STICC, Inria - Irmar), INRIA Nancy - Grand Est / IECN / LSIIT / IRMA), Nicolas Crouseilles (IRMAR, Sever Hirstoaga (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA)","cross_cats":["math.AP","physics.plasm-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-11-07T08:55:54Z","title":"Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1506","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2d74861d0cddfb6ebf11e53766ca01c01439d3358c3f642e9d7c22dadc074a2b","target":"record","created_at":"2026-05-18T03:41:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a40e5b9ff90416339e4584fe209ccd108d41b30394a9e38eb359543e6c01cc6b","cross_cats_sorted":["math.AP","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-11-07T08:55:54Z","title_canon_sha256":"1b19554456ace35521025c0f065a3f8677c55fa3512973a3bef8b7dd63a373c6"},"schema_version":"1.0","source":{"id":"1111.1506","kind":"arxiv","version":3}},"canonical_sha256":"ad2b1de472a08332a10e01a8e60e5827188c75a367659dfb963d4897fb7cf839","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad2b1de472a08332a10e01a8e60e5827188c75a367659dfb963d4897fb7cf839","first_computed_at":"2026-05-18T03:41:32.274671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:32.274671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XFRy/nV5iZkbzLy79UNY9hrKEW4D61ZFwX8YYkQUm8+EaEgkGmPZTeYOc9Vtvn/rq0/B1XJsIV6qtJ9kZCzdBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:32.275344Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1506","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d74861d0cddfb6ebf11e53766ca01c01439d3358c3f642e9d7c22dadc074a2b","sha256:f4bcffe22d467fb026932486aad85b7464f00189c93f34020be751e3d5de10b1"],"state_sha256":"fff4e9cc73977a4fdf4b9cf191cdb4bee32d3338e233f327fc061c873d69fb5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V8+fKeL6hmug/Xqu2wsT7jy0JGVmZR9TW89Zc0CrbIFeFMwUTT/690M9YEzOHP7hLHBmz0A32anLD2rhlYiMAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T09:48:05.788865Z","bundle_sha256":"8c8f18a9469591c1e917b95b4de010ddb521896cef593ee7191cda8e4da80709"}}