{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:DRCK5FM4IM5M2FUQPZO4DS3AXM","short_pith_number":"pith:DRCK5FM4","canonical_record":{"source":{"id":"2312.12214","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2023-12-19T15:04:44Z","cross_cats_sorted":[],"title_canon_sha256":"0b56831d8101044455304f7705f3da699d5554b9e861906ced8d5586fa84dd86","abstract_canon_sha256":"a325fa7d174033653202f781e08645a47a92134eda0d3044b323e87940a5ef29"},"schema_version":"1.0"},"canonical_sha256":"1c44ae959c433acd16907e5dc1cb60bb238b16c103bf2c8c16a04599b6c8394b","source":{"kind":"arxiv","id":"2312.12214","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12214","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12214v1","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12214","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"pith_short_12","alias_value":"DRCK5FM4IM5M","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"DRCK5FM4IM5M2FUQ","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"DRCK5FM4","created_at":"2026-07-05T07:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:DRCK5FM4IM5M2FUQPZO4DS3AXM","target":"record","payload":{"canonical_record":{"source":{"id":"2312.12214","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2023-12-19T15:04:44Z","cross_cats_sorted":[],"title_canon_sha256":"0b56831d8101044455304f7705f3da699d5554b9e861906ced8d5586fa84dd86","abstract_canon_sha256":"a325fa7d174033653202f781e08645a47a92134eda0d3044b323e87940a5ef29"},"schema_version":"1.0"},"canonical_sha256":"1c44ae959c433acd16907e5dc1cb60bb238b16c103bf2c8c16a04599b6c8394b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:26:00.504748Z","signature_b64":"1uV71PQ1kfHuDjqaUEDm4uf55huLOAdt+lmujN9ALV+P+Mx9PBTlvg6ec4hmxIoIiutsaWBch1AH+j2sNNgYDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c44ae959c433acd16907e5dc1cb60bb238b16c103bf2c8c16a04599b6c8394b","last_reissued_at":"2026-07-05T07:26:00.504270Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:26:00.504270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.12214","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:26:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cEz/28IwYnY1pdSeLHcbnv//orGmVy7n8KG3kTCYcpBLSXZDaIWOJ2f+Fp4JvFWnM/OUqZ2ElZkbL1bsR5fADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T19:05:49.642860Z"},"content_sha256":"ee8d45471f6d9769016a2aa87a3aa6e931b83b9f09252f2245ad615cb6cdd2ac","schema_version":"1.0","event_id":"sha256:ee8d45471f6d9769016a2aa87a3aa6e931b83b9f09252f2245ad615cb6cdd2ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:DRCK5FM4IM5M2FUQPZO4DS3AXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scattering map for the Vlasov-Maxwell system around source-free electromagnetic fields","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"L\\'eo Bigorgne","submitted_at":"2023-12-19T15:04:44Z","abstract_excerpt":"We construct an isometric modified scattering operator, mapping any sufficiently regular past scattering state, with a small distribution function, to the future one corresponding to forward evolution by the Vlasov-Maxwell system.\n  The main part of this work is devoted to the construction of a modified wave operator, which relates the future asymptotic dynamics of the solutions to their initial data. Then, by applying our previous results on modified scattering, we are able to construct a small data scattering map for the Vlasov-Maxwell system. Our analysis relies in particular on the study o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12214","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.12214/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:26:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"auAff1eKrZGTQf3z++zbTZmLFcEnVZh646KVFQaeWk+EtALgjE4o2QBHsw5bVu6h1S7bT/drhzcDqJnfyI7VDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T19:05:49.643228Z"},"content_sha256":"95071af1530cf056c0d42d4e6af764a93f1e2711e9ec931ea032156cf6f4d1b1","schema_version":"1.0","event_id":"sha256:95071af1530cf056c0d42d4e6af764a93f1e2711e9ec931ea032156cf6f4d1b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DRCK5FM4IM5M2FUQPZO4DS3AXM/bundle.json","state_url":"https://pith.science/pith/DRCK5FM4IM5M2FUQPZO4DS3AXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DRCK5FM4IM5M2FUQPZO4DS3AXM/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":"2026-07-06T19:05:49Z","links":{"resolver":"https://pith.science/pith/DRCK5FM4IM5M2FUQPZO4DS3AXM","bundle":"https://pith.science/pith/DRCK5FM4IM5M2FUQPZO4DS3AXM/bundle.json","state":"https://pith.science/pith/DRCK5FM4IM5M2FUQPZO4DS3AXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DRCK5FM4IM5M2FUQPZO4DS3AXM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:DRCK5FM4IM5M2FUQPZO4DS3AXM","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":"a325fa7d174033653202f781e08645a47a92134eda0d3044b323e87940a5ef29","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2023-12-19T15:04:44Z","title_canon_sha256":"0b56831d8101044455304f7705f3da699d5554b9e861906ced8d5586fa84dd86"},"schema_version":"1.0","source":{"id":"2312.12214","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12214","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12214v1","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12214","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"pith_short_12","alias_value":"DRCK5FM4IM5M","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"DRCK5FM4IM5M2FUQ","created_at":"2026-07-05T07:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"DRCK5FM4","created_at":"2026-07-05T07:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:95071af1530cf056c0d42d4e6af764a93f1e2711e9ec931ea032156cf6f4d1b1","target":"graph","created_at":"2026-07-05T07:26:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2312.12214/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct an isometric modified scattering operator, mapping any sufficiently regular past scattering state, with a small distribution function, to the future one corresponding to forward evolution by the Vlasov-Maxwell system.\n  The main part of this work is devoted to the construction of a modified wave operator, which relates the future asymptotic dynamics of the solutions to their initial data. Then, by applying our previous results on modified scattering, we are able to construct a small data scattering map for the Vlasov-Maxwell system. Our analysis relies in particular on the study o","authors_text":"L\\'eo Bigorgne","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2023-12-19T15:04:44Z","title":"Scattering map for the Vlasov-Maxwell system around source-free electromagnetic fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12214","kind":"arxiv","version":1},"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:ee8d45471f6d9769016a2aa87a3aa6e931b83b9f09252f2245ad615cb6cdd2ac","target":"record","created_at":"2026-07-05T07:26:00Z","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":"a325fa7d174033653202f781e08645a47a92134eda0d3044b323e87940a5ef29","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2023-12-19T15:04:44Z","title_canon_sha256":"0b56831d8101044455304f7705f3da699d5554b9e861906ced8d5586fa84dd86"},"schema_version":"1.0","source":{"id":"2312.12214","kind":"arxiv","version":1}},"canonical_sha256":"1c44ae959c433acd16907e5dc1cb60bb238b16c103bf2c8c16a04599b6c8394b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c44ae959c433acd16907e5dc1cb60bb238b16c103bf2c8c16a04599b6c8394b","first_computed_at":"2026-07-05T07:26:00.504270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:26:00.504270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1uV71PQ1kfHuDjqaUEDm4uf55huLOAdt+lmujN9ALV+P+Mx9PBTlvg6ec4hmxIoIiutsaWBch1AH+j2sNNgYDw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:26:00.504748Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.12214","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee8d45471f6d9769016a2aa87a3aa6e931b83b9f09252f2245ad615cb6cdd2ac","sha256:95071af1530cf056c0d42d4e6af764a93f1e2711e9ec931ea032156cf6f4d1b1"],"state_sha256":"07f408f871080ab3b543975995567d6610a41fa2e46adcedf2c96d3c87f39745"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/aUqEeDJkjHIKJKjxtETmeejDMJrZuHGbpds7cxXZtJpk25q5g6OVV5ncGC73RHnnWgfhnx5FmlHk4X/GiZXAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T19:05:49.645170Z","bundle_sha256":"1b1e4418ed567b6179dffa3975b6699ebf5b0add69c1a35c5dde56ac3be0f8c6"}}