{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PHIUVFGF6D2MHBT3CEG55Q7TFV","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":"fabf94a279d1dd7338a64d5e72abcf0b0585a6dd625250d2f9421e0b73382b6c","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-31T09:58:18Z","title_canon_sha256":"e830f44ceb6e7f2c2506803f7b85d18eb0626705e1f3246e37a1db061b9f1544"},"schema_version":"1.0","source":{"id":"1801.10380","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.10380","created_at":"2026-05-18T00:24:40Z"},{"alias_kind":"arxiv_version","alias_value":"1801.10380v1","created_at":"2026-05-18T00:24:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.10380","created_at":"2026-05-18T00:24:40Z"},{"alias_kind":"pith_short_12","alias_value":"PHIUVFGF6D2M","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"PHIUVFGF6D2MHBT3","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"PHIUVFGF","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:c5dd3d02888c786ee5945160a9296a22edc0e55a7b5bb5ebf1cc49084a81e545","target":"graph","created_at":"2026-05-18T00:24:40Z","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":"We derive the asymptotic properties of the mMKG system (Maxwell coupled with a massive Klein-Gordon scalar field), in the exterior of the domain of influence of a compact set. This complements the previous well known results, restricted to compactly supported initial conditions, based on the so called hyperboloidal method. That method takes advantage of the commutation properties of the Maxwell and Klein Gordon with the generators of the Poincar\\'e group to resolve the difficulties caused by the fact that they have, separately, different asymptotic properties. Though the hyperboloidal method i","authors_text":"Qian Wang, Sergiu Klainerman, Shiwu Yang","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-31T09:58:18Z","title":"Global solution for massive Maxwell-Klein-Gordon equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.10380","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":"sha256:79d301f6ca513b0709744efdb1d9958a5ea8447564c526057a22abcb9dd8a0a3","target":"record","created_at":"2026-05-18T00:24:40Z","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":"fabf94a279d1dd7338a64d5e72abcf0b0585a6dd625250d2f9421e0b73382b6c","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-31T09:58:18Z","title_canon_sha256":"e830f44ceb6e7f2c2506803f7b85d18eb0626705e1f3246e37a1db061b9f1544"},"schema_version":"1.0","source":{"id":"1801.10380","kind":"arxiv","version":1}},"canonical_sha256":"79d14a94c5f0f4c3867b110ddec3f32d79578ae4b94480455fab4b6daa4a3794","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79d14a94c5f0f4c3867b110ddec3f32d79578ae4b94480455fab4b6daa4a3794","first_computed_at":"2026-05-18T00:24:40.971113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:40.971113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KH253vDvkwftv34Fcq3bilWIZ53YWVOjkBgtegyN44ZZulWVLxzUm8ZO61KzWjLX/OtZ8lrB6d3AJ+JyMQiyBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:40.971798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.10380","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79d301f6ca513b0709744efdb1d9958a5ea8447564c526057a22abcb9dd8a0a3","sha256:c5dd3d02888c786ee5945160a9296a22edc0e55a7b5bb5ebf1cc49084a81e545"],"state_sha256":"cdc8a297a839e2e0229d8c86ecfb9cd4b4b1c67a77f7f0b10058cd03c39f9553"}