{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YG5SJ3YUIHXB5D6T5WPV5HTIDV","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":"74ef9e60e40a08bc67eb1e6d41ebc0de0c03ebd5f81f2845d3dde74a557ddc2c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-27T17:54:32Z","title_canon_sha256":"6020d5c36a1dc3826a3890bc62ced5703e8dbe1e777797f72f0fd7de808db28e"},"schema_version":"1.0","source":{"id":"2309.15834","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.15834","created_at":"2026-07-05T06:54:58Z"},{"alias_kind":"arxiv_version","alias_value":"2309.15834v1","created_at":"2026-07-05T06:54:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.15834","created_at":"2026-07-05T06:54:58Z"},{"alias_kind":"pith_short_12","alias_value":"YG5SJ3YUIHXB","created_at":"2026-07-05T06:54:58Z"},{"alias_kind":"pith_short_16","alias_value":"YG5SJ3YUIHXB5D6T","created_at":"2026-07-05T06:54:58Z"},{"alias_kind":"pith_short_8","alias_value":"YG5SJ3YU","created_at":"2026-07-05T06:54:58Z"}],"graph_snapshots":[{"event_id":"sha256:2afee0c623afb06f93517fad26d4351be6feaa0825c6dd8e11482c53a2eb83aa","target":"graph","created_at":"2026-07-05T06:54:58Z","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/2309.15834/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the asymptotic behavior and the scattering from infinity problem for the massive Maxwell-Klein-Gordon system in the Lorenz gauge, which were previously only studied for the massless system. For a general class of initial data, in particular of nonzero charge, we derive the precise asymptotic behaviors of the solution, where we get a logarithmic phase correction for the complex Klein-Gordon field, a combination of interior homogeneous function, radiation fields to null infinity and an exterior charge part for the gauge potentials. Moreover, we also derive a formula for charge at infini","authors_text":"Xuantao Chen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-27T17:54:32Z","title":"Asymptotics and Scattering for massive Maxwell-Klein-Gordon equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.15834","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:a59ff3f46e2da08bb09ddcb270a7c7a58c609b5851321471e321d39cffeabb51","target":"record","created_at":"2026-07-05T06:54:58Z","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":"74ef9e60e40a08bc67eb1e6d41ebc0de0c03ebd5f81f2845d3dde74a557ddc2c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-27T17:54:32Z","title_canon_sha256":"6020d5c36a1dc3826a3890bc62ced5703e8dbe1e777797f72f0fd7de808db28e"},"schema_version":"1.0","source":{"id":"2309.15834","kind":"arxiv","version":1}},"canonical_sha256":"c1bb24ef1441ee1e8fd3ed9f5e9e681d59799e2bea1ba3e775e51d6df6bb0135","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1bb24ef1441ee1e8fd3ed9f5e9e681d59799e2bea1ba3e775e51d6df6bb0135","first_computed_at":"2026-07-05T06:54:58.339971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:54:58.339971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ensm3iBxXZv5Wx1N2Vf6KQ+MayB/eEk+Z4+SDMjMJDzuaudhU/dQwNpb4TSe6Vd0N3H3BtpJC21yi62iII3qDw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:54:58.340425Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.15834","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a59ff3f46e2da08bb09ddcb270a7c7a58c609b5851321471e321d39cffeabb51","sha256:2afee0c623afb06f93517fad26d4351be6feaa0825c6dd8e11482c53a2eb83aa"],"state_sha256":"650735f166cdd1c30643f4998320a9bb459628d962ede1cc22dab2b6a2237eca"}