{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FZ2QZOO42BPW5QK6EZ32W3WSEG","short_pith_number":"pith:FZ2QZOO4","canonical_record":{"source":{"id":"1507.07149","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-25T23:21:14Z","cross_cats_sorted":["math.CA","math.MP","math.RT","math.SG"],"title_canon_sha256":"b8b39a9cde963c112fbe295f60fc2e0ea6690ee00aa9b55f0b4540285dc0774f","abstract_canon_sha256":"84b6dfadcfdc587722b3fb002be5352c9305f142eeac658319fb3f65e9c45110"},"schema_version":"1.0"},"canonical_sha256":"2e750cb9dcd05f6ec15e2677ab6ed22190680db247a89d239f483aad8da4ddc9","source":{"kind":"arxiv","id":"1507.07149","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07149","created_at":"2026-05-18T00:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07149v3","created_at":"2026-05-18T00:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07149","created_at":"2026-05-18T00:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"FZ2QZOO42BPW","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FZ2QZOO42BPW5QK6","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FZ2QZOO4","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FZ2QZOO42BPW5QK6EZ32W3WSEG","target":"record","payload":{"canonical_record":{"source":{"id":"1507.07149","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-25T23:21:14Z","cross_cats_sorted":["math.CA","math.MP","math.RT","math.SG"],"title_canon_sha256":"b8b39a9cde963c112fbe295f60fc2e0ea6690ee00aa9b55f0b4540285dc0774f","abstract_canon_sha256":"84b6dfadcfdc587722b3fb002be5352c9305f142eeac658319fb3f65e9c45110"},"schema_version":"1.0"},"canonical_sha256":"2e750cb9dcd05f6ec15e2677ab6ed22190680db247a89d239f483aad8da4ddc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:30.024292Z","signature_b64":"Y9Edisyn3PWf/HLJ6B+rQeF3es1RH9GLdOs5KtLuxc8WVBMa6RoTdZnYI942AduHZLBiBFsaVlwVuhxs7yebCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e750cb9dcd05f6ec15e2677ab6ed22190680db247a89d239f483aad8da4ddc9","last_reissued_at":"2026-05-18T00:22:30.023554Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:30.023554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.07149","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":"2026-05-18T00:22:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BConLu1HtKwvxrdrLSxBJT+B0d7fGXCS4dcgTJvzR4dVkH8krvQ2REYbg+04dZbO8et5NxDSsFsPiug/Gq/aBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:47:56.520204Z"},"content_sha256":"df1b540423cd4fc560fcdf4facde0f28f2f510204051cd699f0f6ef88ba05d01","schema_version":"1.0","event_id":"sha256:df1b540423cd4fc560fcdf4facde0f28f2f510204051cd699f0f6ef88ba05d01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FZ2QZOO42BPW5QK6EZ32W3WSEG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Irregular Riemann-Hilbert correspondence, Alekseev-Meinrenken dynamical r-matrices and Drinfeld twists","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.MP","math.RT","math.SG"],"primary_cat":"math-ph","authors_text":"Xiaomeng Xu","submitted_at":"2015-07-25T23:21:14Z","abstract_excerpt":"In 2004, Enriquez-Etingof-Marshall suggested a new approach to the Ginzburg-Weinstein linearization theorem for a quasitriangular Lie bialgebra $(\\g,r)$. This approach is based on solving a system of PDEs for a gauge transformation between the classical r-matrix $r$ and the Alekseev-Meinrenken dynamical r-matrix. They proved that the semiclassical limit of an admissible Drinfeld twist gives rise to a solution of the PDEs.\n  In this paper, we explain that preferred gauge transformations can be constructed as connection maps for a certain irregular Riemann-Hilbert problem (provided $r$ is the st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07149","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":"2026-05-18T00:22:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rt9MmCgO+1DS/fs/dPYsj9/53Ahe3WEs1TDs4WIFQBCNakFJ3zt/OXZkJ77j2Ug5fMhXsWvczZkYJoP/k/TuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:47:56.520557Z"},"content_sha256":"5ec97f7ad36742a4a019bf3c284012c4a3ae3731761f0ed12fbfcaa061390a11","schema_version":"1.0","event_id":"sha256:5ec97f7ad36742a4a019bf3c284012c4a3ae3731761f0ed12fbfcaa061390a11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FZ2QZOO42BPW5QK6EZ32W3WSEG/bundle.json","state_url":"https://pith.science/pith/FZ2QZOO42BPW5QK6EZ32W3WSEG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FZ2QZOO42BPW5QK6EZ32W3WSEG/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":"2026-06-08T10:47:56Z","links":{"resolver":"https://pith.science/pith/FZ2QZOO42BPW5QK6EZ32W3WSEG","bundle":"https://pith.science/pith/FZ2QZOO42BPW5QK6EZ32W3WSEG/bundle.json","state":"https://pith.science/pith/FZ2QZOO42BPW5QK6EZ32W3WSEG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FZ2QZOO42BPW5QK6EZ32W3WSEG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FZ2QZOO42BPW5QK6EZ32W3WSEG","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":"84b6dfadcfdc587722b3fb002be5352c9305f142eeac658319fb3f65e9c45110","cross_cats_sorted":["math.CA","math.MP","math.RT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-25T23:21:14Z","title_canon_sha256":"b8b39a9cde963c112fbe295f60fc2e0ea6690ee00aa9b55f0b4540285dc0774f"},"schema_version":"1.0","source":{"id":"1507.07149","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07149","created_at":"2026-05-18T00:22:30Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07149v3","created_at":"2026-05-18T00:22:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07149","created_at":"2026-05-18T00:22:30Z"},{"alias_kind":"pith_short_12","alias_value":"FZ2QZOO42BPW","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FZ2QZOO42BPW5QK6","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FZ2QZOO4","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:5ec97f7ad36742a4a019bf3c284012c4a3ae3731761f0ed12fbfcaa061390a11","target":"graph","created_at":"2026-05-18T00:22:30Z","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 2004, Enriquez-Etingof-Marshall suggested a new approach to the Ginzburg-Weinstein linearization theorem for a quasitriangular Lie bialgebra $(\\g,r)$. This approach is based on solving a system of PDEs for a gauge transformation between the classical r-matrix $r$ and the Alekseev-Meinrenken dynamical r-matrix. They proved that the semiclassical limit of an admissible Drinfeld twist gives rise to a solution of the PDEs.\n  In this paper, we explain that preferred gauge transformations can be constructed as connection maps for a certain irregular Riemann-Hilbert problem (provided $r$ is the st","authors_text":"Xiaomeng Xu","cross_cats":["math.CA","math.MP","math.RT","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-25T23:21:14Z","title":"Irregular Riemann-Hilbert correspondence, Alekseev-Meinrenken dynamical r-matrices and Drinfeld twists"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07149","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:df1b540423cd4fc560fcdf4facde0f28f2f510204051cd699f0f6ef88ba05d01","target":"record","created_at":"2026-05-18T00:22:30Z","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":"84b6dfadcfdc587722b3fb002be5352c9305f142eeac658319fb3f65e9c45110","cross_cats_sorted":["math.CA","math.MP","math.RT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-07-25T23:21:14Z","title_canon_sha256":"b8b39a9cde963c112fbe295f60fc2e0ea6690ee00aa9b55f0b4540285dc0774f"},"schema_version":"1.0","source":{"id":"1507.07149","kind":"arxiv","version":3}},"canonical_sha256":"2e750cb9dcd05f6ec15e2677ab6ed22190680db247a89d239f483aad8da4ddc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e750cb9dcd05f6ec15e2677ab6ed22190680db247a89d239f483aad8da4ddc9","first_computed_at":"2026-05-18T00:22:30.023554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:30.023554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y9Edisyn3PWf/HLJ6B+rQeF3es1RH9GLdOs5KtLuxc8WVBMa6RoTdZnYI942AduHZLBiBFsaVlwVuhxs7yebCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:30.024292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.07149","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df1b540423cd4fc560fcdf4facde0f28f2f510204051cd699f0f6ef88ba05d01","sha256:5ec97f7ad36742a4a019bf3c284012c4a3ae3731761f0ed12fbfcaa061390a11"],"state_sha256":"5c58f20e8cd5e4484c02abc59fed59ccf62ea92f3a21e41f35c5190112c3a758"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zc46oPD1h3qHhEJHGEzBVhExzyvllA9JwvOR86oeiGqQ5yUAQu48S0OuKPjvwHhisDPul+aFZl2gvl9kTmYFDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T10:47:56.522842Z","bundle_sha256":"b0a0f3e87f39ba8e8f3e5318298f245b3a10423844842ff9690d2bcb16d13bae"}}