{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HABAATZBE3DYA2UOAXPONIHEQV","short_pith_number":"pith:HABAATZB","canonical_record":{"source":{"id":"1311.6068","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-24T00:05:22Z","cross_cats_sorted":[],"title_canon_sha256":"8075fff73a99cd96473456b9ad80c5814ae248d55b356022a23a72a8d857d27d","abstract_canon_sha256":"1f30dc873a15bde2056eb54bbd707fc71cd9a36d5c7ef2bc17adab9ed5ff005d"},"schema_version":"1.0"},"canonical_sha256":"3802004f2126c7806a8e05dee6a0e4855b73f69cb6bf0b1ec0dc710bf6cfd6f1","source":{"kind":"arxiv","id":"1311.6068","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6068","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6068v3","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6068","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"pith_short_12","alias_value":"HABAATZBE3DY","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HABAATZBE3DYA2UO","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HABAATZB","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HABAATZBE3DYA2UOAXPONIHEQV","target":"record","payload":{"canonical_record":{"source":{"id":"1311.6068","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-24T00:05:22Z","cross_cats_sorted":[],"title_canon_sha256":"8075fff73a99cd96473456b9ad80c5814ae248d55b356022a23a72a8d857d27d","abstract_canon_sha256":"1f30dc873a15bde2056eb54bbd707fc71cd9a36d5c7ef2bc17adab9ed5ff005d"},"schema_version":"1.0"},"canonical_sha256":"3802004f2126c7806a8e05dee6a0e4855b73f69cb6bf0b1ec0dc710bf6cfd6f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:04.544409Z","signature_b64":"w+kbUSe8b7Ztrse2vE6b5r8fNTAiejj35ekc6+vRfpFW92K9gKAS/jw5mgac/Y6XrDby8/rnQ8Z6uGBo+C69DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3802004f2126c7806a8e05dee6a0e4855b73f69cb6bf0b1ec0dc710bf6cfd6f1","last_reissued_at":"2026-05-18T02:45:04.543966Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:04.543966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.6068","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":"2026-05-18T02:45:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNHGBNOxOYvXeD/vXkipQYt0p/GWvCOTRMRG2UCJ2V+sTr2VcIzwVaC13E3rbd9qZywN23htRxONk8jg22FRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:40:31.963847Z"},"content_sha256":"c1ecaf2ba07582605a3ce73d5378c4d9d607e72796d2d7620e08c25ea6a8a773","schema_version":"1.0","event_id":"sha256:c1ecaf2ba07582605a3ce73d5378c4d9d607e72796d2d7620e08c25ea6a8a773"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HABAATZBE3DYA2UOAXPONIHEQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Global Existence of 3D Charge Critical Dirac-Klein-Gordon system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Xuecheng Wang","submitted_at":"2013-11-24T00:05:22Z","abstract_excerpt":"In this paper, we prove the global well-posedness property of charge critical Dirac-Klein-Gordon (DKG) system in $\\mathbb{R}^{3+1}$ for small initial data in a space of scale invariant data which has extra weighted regularity in the angular variables. Therefore, by finite speed propagation, we could also derive the local well-posedness property for large initial data in the same space. To author's knowledge, our result appears to be the first result on the critical 3D DKG."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6068","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":"2026-05-18T02:45:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DrzZ2yNFJllPILJLhA1Ff827M6yCwfPrQU9SA0Jx34KgpfFrznY1wjsG1td+pktBoXX16ZdUTVtzCIgh/mP/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:40:31.964185Z"},"content_sha256":"1910245107407da75a0e36d56209c4dd345e4c31f8057dc6fce70f218b52c150","schema_version":"1.0","event_id":"sha256:1910245107407da75a0e36d56209c4dd345e4c31f8057dc6fce70f218b52c150"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HABAATZBE3DYA2UOAXPONIHEQV/bundle.json","state_url":"https://pith.science/pith/HABAATZBE3DYA2UOAXPONIHEQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HABAATZBE3DYA2UOAXPONIHEQV/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":"2026-06-02T15:40:31Z","links":{"resolver":"https://pith.science/pith/HABAATZBE3DYA2UOAXPONIHEQV","bundle":"https://pith.science/pith/HABAATZBE3DYA2UOAXPONIHEQV/bundle.json","state":"https://pith.science/pith/HABAATZBE3DYA2UOAXPONIHEQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HABAATZBE3DYA2UOAXPONIHEQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HABAATZBE3DYA2UOAXPONIHEQV","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":"1f30dc873a15bde2056eb54bbd707fc71cd9a36d5c7ef2bc17adab9ed5ff005d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-24T00:05:22Z","title_canon_sha256":"8075fff73a99cd96473456b9ad80c5814ae248d55b356022a23a72a8d857d27d"},"schema_version":"1.0","source":{"id":"1311.6068","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6068","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6068v3","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6068","created_at":"2026-05-18T02:45:04Z"},{"alias_kind":"pith_short_12","alias_value":"HABAATZBE3DY","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HABAATZBE3DYA2UO","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HABAATZB","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:1910245107407da75a0e36d56209c4dd345e4c31f8057dc6fce70f218b52c150","target":"graph","created_at":"2026-05-18T02:45:04Z","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 prove the global well-posedness property of charge critical Dirac-Klein-Gordon (DKG) system in $\\mathbb{R}^{3+1}$ for small initial data in a space of scale invariant data which has extra weighted regularity in the angular variables. Therefore, by finite speed propagation, we could also derive the local well-posedness property for large initial data in the same space. To author's knowledge, our result appears to be the first result on the critical 3D DKG.","authors_text":"Xuecheng Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-24T00:05:22Z","title":"On Global Existence of 3D Charge Critical Dirac-Klein-Gordon system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6068","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:c1ecaf2ba07582605a3ce73d5378c4d9d607e72796d2d7620e08c25ea6a8a773","target":"record","created_at":"2026-05-18T02:45:04Z","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":"1f30dc873a15bde2056eb54bbd707fc71cd9a36d5c7ef2bc17adab9ed5ff005d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-24T00:05:22Z","title_canon_sha256":"8075fff73a99cd96473456b9ad80c5814ae248d55b356022a23a72a8d857d27d"},"schema_version":"1.0","source":{"id":"1311.6068","kind":"arxiv","version":3}},"canonical_sha256":"3802004f2126c7806a8e05dee6a0e4855b73f69cb6bf0b1ec0dc710bf6cfd6f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3802004f2126c7806a8e05dee6a0e4855b73f69cb6bf0b1ec0dc710bf6cfd6f1","first_computed_at":"2026-05-18T02:45:04.543966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:04.543966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w+kbUSe8b7Ztrse2vE6b5r8fNTAiejj35ekc6+vRfpFW92K9gKAS/jw5mgac/Y6XrDby8/rnQ8Z6uGBo+C69DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:04.544409Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6068","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1ecaf2ba07582605a3ce73d5378c4d9d607e72796d2d7620e08c25ea6a8a773","sha256:1910245107407da75a0e36d56209c4dd345e4c31f8057dc6fce70f218b52c150"],"state_sha256":"dd81c3f38a9185ae33c5507b6c384b760a108cb7c36ec379665c4667187ce1e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tiL9n08uaNgUrPlMzR2zyZ5YnlcI5E+iq0oK4bzos4kd9b3YGreM7lkOeTC5YNxVxN+fryQXadvjo3hBVefoBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:40:31.968461Z","bundle_sha256":"e7fc7dd1f1acb9a341abd080763140481130ecac5a6d619e1f18e78617035bd0"}}