{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JGNWS6W62P5QF72FBDJKZGL35L","short_pith_number":"pith:JGNWS6W6","canonical_record":{"source":{"id":"1401.2216","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-10T02:07:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"8c63084f631f487b9eda6c02b176405d34480022d16e216d558154087a3f6112","abstract_canon_sha256":"6eb74893a1aa97994f86c6a4a2446d243006a026d86ee37f6633c861df5ff4de"},"schema_version":"1.0"},"canonical_sha256":"499b697aded3fb02ff4508d2ac997beae95fd82716d8e0124cd1663eeb012433","source":{"kind":"arxiv","id":"1401.2216","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2216","created_at":"2026-05-18T02:23:58Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2216v2","created_at":"2026-05-18T02:23:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2216","created_at":"2026-05-18T02:23:58Z"},{"alias_kind":"pith_short_12","alias_value":"JGNWS6W62P5Q","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JGNWS6W62P5QF72F","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JGNWS6W6","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JGNWS6W62P5QF72FBDJKZGL35L","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2216","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-10T02:07:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"8c63084f631f487b9eda6c02b176405d34480022d16e216d558154087a3f6112","abstract_canon_sha256":"6eb74893a1aa97994f86c6a4a2446d243006a026d86ee37f6633c861df5ff4de"},"schema_version":"1.0"},"canonical_sha256":"499b697aded3fb02ff4508d2ac997beae95fd82716d8e0124cd1663eeb012433","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:58.807407Z","signature_b64":"o+1o0Tglrp3zZoSJkdB8oHuW5gwFWnulMDT65rv4Ciot1/LcnK0Z/z9oeNvmzNcb3ZFoHm5TvyFPe/HGtOhvDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"499b697aded3fb02ff4508d2ac997beae95fd82716d8e0124cd1663eeb012433","last_reissued_at":"2026-05-18T02:23:58.806820Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:58.806820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2216","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":"2026-05-18T02:23:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HdkMBQk7cL+wrPeRYgp28g1LdgN/6TDbyF+earQtd1YGxLIjKb2Q28ZQuvuuRcOy/Cseyj0yIS0vusyVxh7KCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:59:13.389579Z"},"content_sha256":"9a0be9f773b27e028fbb4138cd4683b23d1d43db52d2f3e27e19aec12c02d00b","schema_version":"1.0","event_id":"sha256:9a0be9f773b27e028fbb4138cd4683b23d1d43db52d2f3e27e19aec12c02d00b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JGNWS6W62P5QF72FBDJKZGL35L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local matrix generalizations of $W$-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Dafeng Zuo","submitted_at":"2014-01-10T02:07:02Z","abstract_excerpt":"In this paper, we propose local matrix generalizations of the classical $W$-algebras based on the second Hamiltonian structure of the $\\mathcal{Z}_m$-valued KP hierarchy, where $\\mathcal{Z}_m$ is a maximal commutative subalgebra of $gl(m,\\mathbb{C})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2216","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":"2026-05-18T02:23:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0DqaQcr7nUdM9I5CdtkkJlFrEW6WVDDYoGXGcTOmoHCxvvgpAgkW4BeKcMcSVyfq4hJ6RGX4WH9CRKcEXimSDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:59:13.390160Z"},"content_sha256":"38058d7690755b02fb1dbfbdbd3044db38067b812ebff8f688ccec01afcef936","schema_version":"1.0","event_id":"sha256:38058d7690755b02fb1dbfbdbd3044db38067b812ebff8f688ccec01afcef936"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JGNWS6W62P5QF72FBDJKZGL35L/bundle.json","state_url":"https://pith.science/pith/JGNWS6W62P5QF72FBDJKZGL35L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JGNWS6W62P5QF72FBDJKZGL35L/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":"2026-06-09T04:59:13Z","links":{"resolver":"https://pith.science/pith/JGNWS6W62P5QF72FBDJKZGL35L","bundle":"https://pith.science/pith/JGNWS6W62P5QF72FBDJKZGL35L/bundle.json","state":"https://pith.science/pith/JGNWS6W62P5QF72FBDJKZGL35L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JGNWS6W62P5QF72FBDJKZGL35L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JGNWS6W62P5QF72FBDJKZGL35L","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":"6eb74893a1aa97994f86c6a4a2446d243006a026d86ee37f6633c861df5ff4de","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-10T02:07:02Z","title_canon_sha256":"8c63084f631f487b9eda6c02b176405d34480022d16e216d558154087a3f6112"},"schema_version":"1.0","source":{"id":"1401.2216","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2216","created_at":"2026-05-18T02:23:58Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2216v2","created_at":"2026-05-18T02:23:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2216","created_at":"2026-05-18T02:23:58Z"},{"alias_kind":"pith_short_12","alias_value":"JGNWS6W62P5Q","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JGNWS6W62P5QF72F","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JGNWS6W6","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:38058d7690755b02fb1dbfbdbd3044db38067b812ebff8f688ccec01afcef936","target":"graph","created_at":"2026-05-18T02:23:58Z","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 propose local matrix generalizations of the classical $W$-algebras based on the second Hamiltonian structure of the $\\mathcal{Z}_m$-valued KP hierarchy, where $\\mathcal{Z}_m$ is a maximal commutative subalgebra of $gl(m,\\mathbb{C})$.","authors_text":"Dafeng Zuo","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-10T02:07:02Z","title":"Local matrix generalizations of $W$-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2216","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":"sha256:9a0be9f773b27e028fbb4138cd4683b23d1d43db52d2f3e27e19aec12c02d00b","target":"record","created_at":"2026-05-18T02:23:58Z","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":"6eb74893a1aa97994f86c6a4a2446d243006a026d86ee37f6633c861df5ff4de","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-01-10T02:07:02Z","title_canon_sha256":"8c63084f631f487b9eda6c02b176405d34480022d16e216d558154087a3f6112"},"schema_version":"1.0","source":{"id":"1401.2216","kind":"arxiv","version":2}},"canonical_sha256":"499b697aded3fb02ff4508d2ac997beae95fd82716d8e0124cd1663eeb012433","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"499b697aded3fb02ff4508d2ac997beae95fd82716d8e0124cd1663eeb012433","first_computed_at":"2026-05-18T02:23:58.806820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:58.806820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o+1o0Tglrp3zZoSJkdB8oHuW5gwFWnulMDT65rv4Ciot1/LcnK0Z/z9oeNvmzNcb3ZFoHm5TvyFPe/HGtOhvDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:58.807407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2216","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a0be9f773b27e028fbb4138cd4683b23d1d43db52d2f3e27e19aec12c02d00b","sha256:38058d7690755b02fb1dbfbdbd3044db38067b812ebff8f688ccec01afcef936"],"state_sha256":"13d89043e9417d5b9c7d5fd0b4a3fe2a1270c2289461a10fd44904b21cd1f752"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j/PiexBkiNNw1QQiQn0tLu41qcGA1wL0ffwPnCw8NuTERGh3e3/sCTMrnHUcn/fNk8/kdBdOF8Oa+AZWcQ71AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:59:13.393614Z","bundle_sha256":"83271c5e419ee6a4a58872e2c213004f5c0593738c356b908b34d778fc22cb64"}}