{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:LYQMOTZFTCHOMTLFFQON5G52FS","short_pith_number":"pith:LYQMOTZF","canonical_record":{"source":{"id":"hep-th/9409024","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-09-05T02:56:38Z","cross_cats_sorted":[],"title_canon_sha256":"db3b7ca30f6be3f175dcd911a544338cefe95bfd190500883cdca18be2fb29c0","abstract_canon_sha256":"8acce1e450e28206fa0941a5f875cf2e88a692fdbc856bd8031140c28682b96c"},"schema_version":"1.0"},"canonical_sha256":"5e20c74f25988ee64d652c1cde9bba2caef35062d461f3db63c3c53abd726920","source":{"kind":"arxiv","id":"hep-th/9409024","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9409024","created_at":"2026-05-18T04:15:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9409024v1","created_at":"2026-05-18T04:15:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9409024","created_at":"2026-05-18T04:15:26Z"},{"alias_kind":"pith_short_12","alias_value":"LYQMOTZFTCHO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"LYQMOTZFTCHOMTLF","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"LYQMOTZF","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:LYQMOTZFTCHOMTLFFQON5G52FS","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9409024","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-09-05T02:56:38Z","cross_cats_sorted":[],"title_canon_sha256":"db3b7ca30f6be3f175dcd911a544338cefe95bfd190500883cdca18be2fb29c0","abstract_canon_sha256":"8acce1e450e28206fa0941a5f875cf2e88a692fdbc856bd8031140c28682b96c"},"schema_version":"1.0"},"canonical_sha256":"5e20c74f25988ee64d652c1cde9bba2caef35062d461f3db63c3c53abd726920","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:26.788640Z","signature_b64":"SvlexzA9caWfp+0plgWH3FVwCbEsh0afjhSWbQso6kpbvo6vGWbd2voRx6xA83pIFjFl/a7HeUNFxRHATv56Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e20c74f25988ee64d652c1cde9bba2caef35062d461f3db63c3c53abd726920","last_reissued_at":"2026-05-18T04:15:26.788229Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:26.788229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9409024","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":"2026-05-18T04:15:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NI3jgNC0Hyo1bwBYCocIv4vCAm1cGNIJA49QVxFV5u5qYbw/zUH4q0j1fR2Nn5CKRr5ibL8IL+qrlE5jtxgoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:32:26.048777Z"},"content_sha256":"7b604be6e495d93997bbb692657f87a0b5109b6bfd232b357019c62be0260952","schema_version":"1.0","event_id":"sha256:7b604be6e495d93997bbb692657f87a0b5109b6bfd232b357019c62be0260952"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:LYQMOTZFTCHOMTLFFQON5G52FS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite W_3 Transformations in a Multi-time Approach","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. Gomis, J. Herrero, J. Roca, K. Kamimura","submitted_at":"1994-09-05T02:56:38Z","abstract_excerpt":"Classical {\\W}$_3$ transformations are discussed as restricted diffeomorphism transformations (\\W-Diff) in two-dimensional space. We formulate them by using Riemannian geometry as a basic ingredient. The extended {\\W}$_3$ generators are given as particular combinations of Christoffel symbols. The defining equations of \\W-Diff are shown to depend on these generators explicitly. We also consider the issues of finite transformations, global $SL(3)$ transformations and \\W-Schwarzians."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9409024","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":"2026-05-18T04:15:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h9N/Itjbu/f2RI97ThjXJsAUEFYH6r5mqyCre1q57SlhkB8S4wy+SsUcRNKikVb/p5M5KbKWuRD3B/Ps6XBTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:32:26.049114Z"},"content_sha256":"2a14a9552a05ddbc7384b02345e2c617b914dd20e6dec972063149f19d5cf2ff","schema_version":"1.0","event_id":"sha256:2a14a9552a05ddbc7384b02345e2c617b914dd20e6dec972063149f19d5cf2ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LYQMOTZFTCHOMTLFFQON5G52FS/bundle.json","state_url":"https://pith.science/pith/LYQMOTZFTCHOMTLFFQON5G52FS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LYQMOTZFTCHOMTLFFQON5G52FS/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":"2026-06-04T02:32:26Z","links":{"resolver":"https://pith.science/pith/LYQMOTZFTCHOMTLFFQON5G52FS","bundle":"https://pith.science/pith/LYQMOTZFTCHOMTLFFQON5G52FS/bundle.json","state":"https://pith.science/pith/LYQMOTZFTCHOMTLFFQON5G52FS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LYQMOTZFTCHOMTLFFQON5G52FS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:LYQMOTZFTCHOMTLFFQON5G52FS","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":"8acce1e450e28206fa0941a5f875cf2e88a692fdbc856bd8031140c28682b96c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-09-05T02:56:38Z","title_canon_sha256":"db3b7ca30f6be3f175dcd911a544338cefe95bfd190500883cdca18be2fb29c0"},"schema_version":"1.0","source":{"id":"hep-th/9409024","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9409024","created_at":"2026-05-18T04:15:26Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9409024v1","created_at":"2026-05-18T04:15:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9409024","created_at":"2026-05-18T04:15:26Z"},{"alias_kind":"pith_short_12","alias_value":"LYQMOTZFTCHO","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"LYQMOTZFTCHOMTLF","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"LYQMOTZF","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:2a14a9552a05ddbc7384b02345e2c617b914dd20e6dec972063149f19d5cf2ff","target":"graph","created_at":"2026-05-18T04:15:26Z","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":"Classical {\\W}$_3$ transformations are discussed as restricted diffeomorphism transformations (\\W-Diff) in two-dimensional space. We formulate them by using Riemannian geometry as a basic ingredient. The extended {\\W}$_3$ generators are given as particular combinations of Christoffel symbols. The defining equations of \\W-Diff are shown to depend on these generators explicitly. We also consider the issues of finite transformations, global $SL(3)$ transformations and \\W-Schwarzians.","authors_text":"J. Gomis, J. Herrero, J. Roca, K. Kamimura","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-09-05T02:56:38Z","title":"Finite W_3 Transformations in a Multi-time Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9409024","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":"sha256:7b604be6e495d93997bbb692657f87a0b5109b6bfd232b357019c62be0260952","target":"record","created_at":"2026-05-18T04:15:26Z","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":"8acce1e450e28206fa0941a5f875cf2e88a692fdbc856bd8031140c28682b96c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-09-05T02:56:38Z","title_canon_sha256":"db3b7ca30f6be3f175dcd911a544338cefe95bfd190500883cdca18be2fb29c0"},"schema_version":"1.0","source":{"id":"hep-th/9409024","kind":"arxiv","version":1}},"canonical_sha256":"5e20c74f25988ee64d652c1cde9bba2caef35062d461f3db63c3c53abd726920","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e20c74f25988ee64d652c1cde9bba2caef35062d461f3db63c3c53abd726920","first_computed_at":"2026-05-18T04:15:26.788229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:26.788229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SvlexzA9caWfp+0plgWH3FVwCbEsh0afjhSWbQso6kpbvo6vGWbd2voRx6xA83pIFjFl/a7HeUNFxRHATv56Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:26.788640Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9409024","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b604be6e495d93997bbb692657f87a0b5109b6bfd232b357019c62be0260952","sha256:2a14a9552a05ddbc7384b02345e2c617b914dd20e6dec972063149f19d5cf2ff"],"state_sha256":"966a886e71523333a3495882cf97a548569a15345ece1c05295f587f7f0db9b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N18qscfWejUZdxvOYXmI3Zq741b6ZBTsT5iapxINId2AGxQOY7zmwBr+RaqyK9sH3L5G5RPOVL9NwyCT8pOOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T02:32:26.051035Z","bundle_sha256":"20f096cd0ed89f32349e994190e6fba80c53db7f7bac4878ba26af3bca380aaf"}}