{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:MRX3666GMIPWRCIUHNUEPQ7MJN","short_pith_number":"pith:MRX3666G","canonical_record":{"source":{"id":"1312.1066","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-12-04T09:04:14Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b923b28b5d62693f5d0fd259b3397d0152c7c0edeaa89522fce7f32864a30561","abstract_canon_sha256":"99d6c217f18ade0719447daba52eb464985eef8564a3605786e68aa2795ac720"},"schema_version":"1.0"},"canonical_sha256":"646fbf7bc6621f6889143b6847c3ec4b43e472eda701eeb36e51bd706d38b38e","source":{"kind":"arxiv","id":"1312.1066","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1066","created_at":"2026-05-18T03:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1066v2","created_at":"2026-05-18T03:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1066","created_at":"2026-05-18T03:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"MRX3666GMIPW","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MRX3666GMIPWRCIU","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MRX3666G","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:MRX3666GMIPWRCIUHNUEPQ7MJN","target":"record","payload":{"canonical_record":{"source":{"id":"1312.1066","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-12-04T09:04:14Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b923b28b5d62693f5d0fd259b3397d0152c7c0edeaa89522fce7f32864a30561","abstract_canon_sha256":"99d6c217f18ade0719447daba52eb464985eef8564a3605786e68aa2795ac720"},"schema_version":"1.0"},"canonical_sha256":"646fbf7bc6621f6889143b6847c3ec4b43e472eda701eeb36e51bd706d38b38e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:00.987017Z","signature_b64":"AHKwFwKOFA7vdzxzaAxxsLrJoROPUUbobc+DenGebKVWudq+5djhFg6KPUN84U1SAJvWPPldDto3zQm2CZlMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"646fbf7bc6621f6889143b6847c3ec4b43e472eda701eeb36e51bd706d38b38e","last_reissued_at":"2026-05-18T03:05:00.986438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:00.986438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.1066","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":"2026-05-18T03:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PjQcW21ukfQ1BY58eoD/O51J1IJzagK6pk2SAAwgmjYCEFVvLBgFshbxlsntRbpKa+VJz7MNF6IscI2NKrnQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T00:29:01.451943Z"},"content_sha256":"df8d0cdce6f21b6a29e64a85467ca0cda2cd1aaa4e6585a22dffbb3b55336ab8","schema_version":"1.0","event_id":"sha256:df8d0cdce6f21b6a29e64a85467ca0cda2cd1aaa4e6585a22dffbb3b55336ab8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:MRX3666GMIPWRCIUHNUEPQ7MJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new construction of the Drinfeld-Sokolov Hierarchies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Paolo Casati","submitted_at":"2013-12-04T09:04:14Z","abstract_excerpt":"The Drinfeld-Sokolov hierarchies are integrable hierarchies associated with every affine Lie algebra. We present a new construction of such hierarchies, which only requires the computations of a formal Laurent series."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1066","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":"2026-05-18T03:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Nv2mkYXYPNVEZRRpAa5sX9wx6+2WL3yUoVyWgFRXVfqgnB48MD6rVMluEb+ymDGPlr6NwhxzDjZ5G/IfUroDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T00:29:01.452275Z"},"content_sha256":"2ee753c4dc9ab3923e5eec88f1e30ddf5035ebdb0fcc60cf7bf9af6a95981c14","schema_version":"1.0","event_id":"sha256:2ee753c4dc9ab3923e5eec88f1e30ddf5035ebdb0fcc60cf7bf9af6a95981c14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MRX3666GMIPWRCIUHNUEPQ7MJN/bundle.json","state_url":"https://pith.science/pith/MRX3666GMIPWRCIUHNUEPQ7MJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MRX3666GMIPWRCIUHNUEPQ7MJN/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":"2026-06-27T00:29:01Z","links":{"resolver":"https://pith.science/pith/MRX3666GMIPWRCIUHNUEPQ7MJN","bundle":"https://pith.science/pith/MRX3666GMIPWRCIUHNUEPQ7MJN/bundle.json","state":"https://pith.science/pith/MRX3666GMIPWRCIUHNUEPQ7MJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MRX3666GMIPWRCIUHNUEPQ7MJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MRX3666GMIPWRCIUHNUEPQ7MJN","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":"99d6c217f18ade0719447daba52eb464985eef8564a3605786e68aa2795ac720","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-12-04T09:04:14Z","title_canon_sha256":"b923b28b5d62693f5d0fd259b3397d0152c7c0edeaa89522fce7f32864a30561"},"schema_version":"1.0","source":{"id":"1312.1066","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1066","created_at":"2026-05-18T03:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1066v2","created_at":"2026-05-18T03:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1066","created_at":"2026-05-18T03:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"MRX3666GMIPW","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MRX3666GMIPWRCIU","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MRX3666G","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:2ee753c4dc9ab3923e5eec88f1e30ddf5035ebdb0fcc60cf7bf9af6a95981c14","target":"graph","created_at":"2026-05-18T03:05:00Z","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":"The Drinfeld-Sokolov hierarchies are integrable hierarchies associated with every affine Lie algebra. We present a new construction of such hierarchies, which only requires the computations of a formal Laurent series.","authors_text":"Paolo Casati","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-12-04T09:04:14Z","title":"A new construction of the Drinfeld-Sokolov Hierarchies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1066","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:df8d0cdce6f21b6a29e64a85467ca0cda2cd1aaa4e6585a22dffbb3b55336ab8","target":"record","created_at":"2026-05-18T03:05:00Z","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":"99d6c217f18ade0719447daba52eb464985eef8564a3605786e68aa2795ac720","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-12-04T09:04:14Z","title_canon_sha256":"b923b28b5d62693f5d0fd259b3397d0152c7c0edeaa89522fce7f32864a30561"},"schema_version":"1.0","source":{"id":"1312.1066","kind":"arxiv","version":2}},"canonical_sha256":"646fbf7bc6621f6889143b6847c3ec4b43e472eda701eeb36e51bd706d38b38e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"646fbf7bc6621f6889143b6847c3ec4b43e472eda701eeb36e51bd706d38b38e","first_computed_at":"2026-05-18T03:05:00.986438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:00.986438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AHKwFwKOFA7vdzxzaAxxsLrJoROPUUbobc+DenGebKVWudq+5djhFg6KPUN84U1SAJvWPPldDto3zQm2CZlMAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:00.987017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.1066","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df8d0cdce6f21b6a29e64a85467ca0cda2cd1aaa4e6585a22dffbb3b55336ab8","sha256:2ee753c4dc9ab3923e5eec88f1e30ddf5035ebdb0fcc60cf7bf9af6a95981c14"],"state_sha256":"74083590f8d1ce376cb6cb526b668404fd170aea918f75a7961bdf1f22670f2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wUU5MqJVG5c32FlKdYumtA4CMXv0BkKv6ISy5ODca1B1o2Vz7z3hw8QdEt5XyIT7LsooatQFUDJaYNK/rq+JCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T00:29:01.454174Z","bundle_sha256":"7b89875be58f2b080e44d8db183f7a7964490d90e5dcbc6e34b3d5891b7be6a6"}}