{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QTJEFLAX5CR5Q3QE5GKXJU2MPM","short_pith_number":"pith:QTJEFLAX","canonical_record":{"source":{"id":"1106.5750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-28T18:15:23Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"e9a5afb6e14927adc97757964146d84c65af5652dc23b4335d20332508d21313","abstract_canon_sha256":"ec19397eb47e3762317cc9d4e9eb3b84d74823cb2fa206a7f6f220b9c6070e78"},"schema_version":"1.0"},"canonical_sha256":"84d242ac17e8a3d86e04e99574d34c7b1d9da9017e5af7f9924903d34954215d","source":{"kind":"arxiv","id":"1106.5750","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5750","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5750v1","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5750","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"QTJEFLAX5CR5","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QTJEFLAX5CR5Q3QE","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QTJEFLAX","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QTJEFLAX5CR5Q3QE5GKXJU2MPM","target":"record","payload":{"canonical_record":{"source":{"id":"1106.5750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-28T18:15:23Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"e9a5afb6e14927adc97757964146d84c65af5652dc23b4335d20332508d21313","abstract_canon_sha256":"ec19397eb47e3762317cc9d4e9eb3b84d74823cb2fa206a7f6f220b9c6070e78"},"schema_version":"1.0"},"canonical_sha256":"84d242ac17e8a3d86e04e99574d34c7b1d9da9017e5af7f9924903d34954215d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:12.581086Z","signature_b64":"MefZOLc6DwuEZSpLQuj+bdYII451B3ccw0Sy58k1S5DQgP2HXccOfbgw+GH0o38cR2c6pCC+rFx5or03fzNpCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84d242ac17e8a3d86e04e99574d34c7b1d9da9017e5af7f9924903d34954215d","last_reissued_at":"2026-05-18T04:19:12.580654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:12.580654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.5750","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":"2026-05-18T04:19:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s5CaiH5DiFBUE9e2VFbh8vMfGZDkgcspHmBjoE2FsTHCofmXZ2o5GuBf7xPGeeBfhy9Uhnib+oyRojtfPh6/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:34:33.505718Z"},"content_sha256":"30b881f18bd6c26f9a74172331a417f8bc750ae774d86629041750eedef374e0","schema_version":"1.0","event_id":"sha256:30b881f18bd6c26f9a74172331a417f8bc750ae774d86629041750eedef374e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QTJEFLAX5CR5Q3QE5GKXJU2MPM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global well-posedness and scattering for Skyrme wave maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Dan-Andrei Geba, Kenji Nakanishi, Sarada G. Rajeev","submitted_at":"2011-06-28T18:15:23Z","abstract_excerpt":"We study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5750","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":""},"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":"2026-05-18T04:19:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8XXDXMawAaHPAFgcmtQQVDJlZpQhtJA/qAPAMTDiLILtNvNCI+6P2uXtu2YS46odDcU90z5k3WlaQ0v6zag5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:34:33.506071Z"},"content_sha256":"62818703eaa18a0487d15231cb02762e016b58f13ce5ee2258251bd7cff8d0e4","schema_version":"1.0","event_id":"sha256:62818703eaa18a0487d15231cb02762e016b58f13ce5ee2258251bd7cff8d0e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QTJEFLAX5CR5Q3QE5GKXJU2MPM/bundle.json","state_url":"https://pith.science/pith/QTJEFLAX5CR5Q3QE5GKXJU2MPM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QTJEFLAX5CR5Q3QE5GKXJU2MPM/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":"2026-06-02T08:34:33Z","links":{"resolver":"https://pith.science/pith/QTJEFLAX5CR5Q3QE5GKXJU2MPM","bundle":"https://pith.science/pith/QTJEFLAX5CR5Q3QE5GKXJU2MPM/bundle.json","state":"https://pith.science/pith/QTJEFLAX5CR5Q3QE5GKXJU2MPM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QTJEFLAX5CR5Q3QE5GKXJU2MPM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QTJEFLAX5CR5Q3QE5GKXJU2MPM","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":"ec19397eb47e3762317cc9d4e9eb3b84d74823cb2fa206a7f6f220b9c6070e78","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-28T18:15:23Z","title_canon_sha256":"e9a5afb6e14927adc97757964146d84c65af5652dc23b4335d20332508d21313"},"schema_version":"1.0","source":{"id":"1106.5750","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5750","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5750v1","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5750","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"QTJEFLAX5CR5","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QTJEFLAX5CR5Q3QE","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QTJEFLAX","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:62818703eaa18a0487d15231cb02762e016b58f13ce5ee2258251bd7cff8d0e4","target":"graph","created_at":"2026-05-18T04:19:12Z","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 study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov spaces.","authors_text":"Dan-Andrei Geba, Kenji Nakanishi, Sarada G. Rajeev","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-28T18:15:23Z","title":"Global well-posedness and scattering for Skyrme wave maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5750","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":"sha256:30b881f18bd6c26f9a74172331a417f8bc750ae774d86629041750eedef374e0","target":"record","created_at":"2026-05-18T04:19:12Z","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":"ec19397eb47e3762317cc9d4e9eb3b84d74823cb2fa206a7f6f220b9c6070e78","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-28T18:15:23Z","title_canon_sha256":"e9a5afb6e14927adc97757964146d84c65af5652dc23b4335d20332508d21313"},"schema_version":"1.0","source":{"id":"1106.5750","kind":"arxiv","version":1}},"canonical_sha256":"84d242ac17e8a3d86e04e99574d34c7b1d9da9017e5af7f9924903d34954215d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84d242ac17e8a3d86e04e99574d34c7b1d9da9017e5af7f9924903d34954215d","first_computed_at":"2026-05-18T04:19:12.580654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:12.580654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MefZOLc6DwuEZSpLQuj+bdYII451B3ccw0Sy58k1S5DQgP2HXccOfbgw+GH0o38cR2c6pCC+rFx5or03fzNpCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:12.581086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5750","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30b881f18bd6c26f9a74172331a417f8bc750ae774d86629041750eedef374e0","sha256:62818703eaa18a0487d15231cb02762e016b58f13ce5ee2258251bd7cff8d0e4"],"state_sha256":"95c62cc48ed7f9561996f15b341f4a6d5451e8012fdd57e9a8faa4f9c05dc5d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"liBJydAMWmgdZNnaLNay7x3PupYUGs53SefOPwSf6ckW6k2ZLOt41ycXp4ciE3b2IqxEGGpaRK8xg5902sa0Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:34:33.507932Z","bundle_sha256":"d9ffd79131ba25d0af011eaebb96c6d7cbf116b0872e10c678afbecb62a7b545"}}