{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UFN6VJUQJZA2PFF42F2AWCQZC7","short_pith_number":"pith:UFN6VJUQ","canonical_record":{"source":{"id":"1311.4498","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-18T19:18:33Z","cross_cats_sorted":["hep-th","math.AG","math.MP","nlin.SI"],"title_canon_sha256":"2e845a96c077e1923c9a25293800beb33fee09ba0e7e898d443846be8a8f37b3","abstract_canon_sha256":"2cb42757e26a0ba7741762617c863aeba246c381fe67143dcbfa98b192a659d3"},"schema_version":"1.0"},"canonical_sha256":"a15beaa6904e41a794bcd1740b0a1917e58b55f35452d0eda6fa4f0173b7f1d3","source":{"kind":"arxiv","id":"1311.4498","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4498","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4498v2","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4498","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"UFN6VJUQJZA2","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UFN6VJUQJZA2PFF4","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UFN6VJUQ","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UFN6VJUQJZA2PFF42F2AWCQZC7","target":"record","payload":{"canonical_record":{"source":{"id":"1311.4498","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-18T19:18:33Z","cross_cats_sorted":["hep-th","math.AG","math.MP","nlin.SI"],"title_canon_sha256":"2e845a96c077e1923c9a25293800beb33fee09ba0e7e898d443846be8a8f37b3","abstract_canon_sha256":"2cb42757e26a0ba7741762617c863aeba246c381fe67143dcbfa98b192a659d3"},"schema_version":"1.0"},"canonical_sha256":"a15beaa6904e41a794bcd1740b0a1917e58b55f35452d0eda6fa4f0173b7f1d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:23.449975Z","signature_b64":"wyLhXPbWNK9o7HGiNgEZuA0RdHWgGEO50RzpiRrTnnQ61N97TdRhnOsHFQrDdFCTpIBUvUQxrDmVXklrvwBxCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a15beaa6904e41a794bcd1740b0a1917e58b55f35452d0eda6fa4f0173b7f1d3","last_reissued_at":"2026-05-18T01:46:23.449357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:23.449357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.4498","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tW86RbOh/8ORHAMqnRXrWu0BfnE/FXXH56/oiDUgJ06G554aWJVs/WnIERS72P4h1jfW6sTXDyUKyTFIYmJiCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:19:47.955788Z"},"content_sha256":"e61b0383bf2ae4d025abda354b46fc2762a839c8b8d11b323254a46b5b442bc2","schema_version":"1.0","event_id":"sha256:e61b0383bf2ae4d025abda354b46fc2762a839c8b8d11b323254a46b5b442bc2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UFN6VJUQJZA2PFF42F2AWCQZC7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of Isomonodromy Problems on Elliptic Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.AG","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"A. Levin, A. Zotov, M. Olshanetsky","submitted_at":"2013-11-18T19:18:33Z","abstract_excerpt":"We consider the isomonodromy problems for flat $G$-bundles over punctured elliptic curves $\\Sigma_\\tau$ with regular singularities of connections at marked points. The bundles are classified by their characteristic classes. These classes are elements of the second cohomology group $H^2(\\Sigma_\\tau,{\\mathcal Z}(G))$, where ${\\mathcal Z}(G)$ is the center of $G$. For any complex simple Lie group $G$ and arbitrary class we define the moduli space of flat bundles, and in this way construct the monodromy preserving equations in the Hamiltonian form and their Lax representations. In particular, they"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4498","kind":"arxiv","version":2},"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":"2026-05-18T01:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wkq6/nS5ltTNIwTXpKlkmMFxWXY9SPzl6yQ5oY81+p4eY/sFiHvlpAl3q9cbMaHo2HhbiKmYXgjI2HDQklj2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:19:47.956137Z"},"content_sha256":"69d2b353d1e1bebf7b2b6fc3373ad716b70c2925471aef00f599f9301f492413","schema_version":"1.0","event_id":"sha256:69d2b353d1e1bebf7b2b6fc3373ad716b70c2925471aef00f599f9301f492413"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UFN6VJUQJZA2PFF42F2AWCQZC7/bundle.json","state_url":"https://pith.science/pith/UFN6VJUQJZA2PFF42F2AWCQZC7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UFN6VJUQJZA2PFF42F2AWCQZC7/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":"2026-05-31T03:19:47Z","links":{"resolver":"https://pith.science/pith/UFN6VJUQJZA2PFF42F2AWCQZC7","bundle":"https://pith.science/pith/UFN6VJUQJZA2PFF42F2AWCQZC7/bundle.json","state":"https://pith.science/pith/UFN6VJUQJZA2PFF42F2AWCQZC7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UFN6VJUQJZA2PFF42F2AWCQZC7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UFN6VJUQJZA2PFF42F2AWCQZC7","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":"2cb42757e26a0ba7741762617c863aeba246c381fe67143dcbfa98b192a659d3","cross_cats_sorted":["hep-th","math.AG","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-18T19:18:33Z","title_canon_sha256":"2e845a96c077e1923c9a25293800beb33fee09ba0e7e898d443846be8a8f37b3"},"schema_version":"1.0","source":{"id":"1311.4498","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4498","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4498v2","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4498","created_at":"2026-05-18T01:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"UFN6VJUQJZA2","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UFN6VJUQJZA2PFF4","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UFN6VJUQ","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:69d2b353d1e1bebf7b2b6fc3373ad716b70c2925471aef00f599f9301f492413","target":"graph","created_at":"2026-05-18T01:46:23Z","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 consider the isomonodromy problems for flat $G$-bundles over punctured elliptic curves $\\Sigma_\\tau$ with regular singularities of connections at marked points. The bundles are classified by their characteristic classes. These classes are elements of the second cohomology group $H^2(\\Sigma_\\tau,{\\mathcal Z}(G))$, where ${\\mathcal Z}(G)$ is the center of $G$. For any complex simple Lie group $G$ and arbitrary class we define the moduli space of flat bundles, and in this way construct the monodromy preserving equations in the Hamiltonian form and their Lax representations. In particular, they","authors_text":"A. Levin, A. Zotov, M. Olshanetsky","cross_cats":["hep-th","math.AG","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-18T19:18:33Z","title":"Classification of Isomonodromy Problems on Elliptic Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4498","kind":"arxiv","version":2},"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:e61b0383bf2ae4d025abda354b46fc2762a839c8b8d11b323254a46b5b442bc2","target":"record","created_at":"2026-05-18T01:46:23Z","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":"2cb42757e26a0ba7741762617c863aeba246c381fe67143dcbfa98b192a659d3","cross_cats_sorted":["hep-th","math.AG","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-11-18T19:18:33Z","title_canon_sha256":"2e845a96c077e1923c9a25293800beb33fee09ba0e7e898d443846be8a8f37b3"},"schema_version":"1.0","source":{"id":"1311.4498","kind":"arxiv","version":2}},"canonical_sha256":"a15beaa6904e41a794bcd1740b0a1917e58b55f35452d0eda6fa4f0173b7f1d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a15beaa6904e41a794bcd1740b0a1917e58b55f35452d0eda6fa4f0173b7f1d3","first_computed_at":"2026-05-18T01:46:23.449357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:23.449357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wyLhXPbWNK9o7HGiNgEZuA0RdHWgGEO50RzpiRrTnnQ61N97TdRhnOsHFQrDdFCTpIBUvUQxrDmVXklrvwBxCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:23.449975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4498","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e61b0383bf2ae4d025abda354b46fc2762a839c8b8d11b323254a46b5b442bc2","sha256:69d2b353d1e1bebf7b2b6fc3373ad716b70c2925471aef00f599f9301f492413"],"state_sha256":"5ede067e2cc9fb5caa0a2ac489a399b9947bd153dfda25a90288a86f67a716c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HbPf0HRapM3WS8tF8svTI5PvnwUy6YUilcufrNuZBrcQtFBNEFDag9A6VIzyNoOIagVP7h0dxgtZmJfPrfgDAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:19:47.958103Z","bundle_sha256":"ba018248228c7e96065fd2045f8f2b0a39951148ab6855f2cbe5d57f5773f699"}}