{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BNVZ43PIG637WOT5PGD4LUKL2C","short_pith_number":"pith:BNVZ43PI","canonical_record":{"source":{"id":"1802.03729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-11T12:14:56Z","cross_cats_sorted":[],"title_canon_sha256":"b6aa5f1d49525ec80f1932984eddb57ab4dec8e8259a7409356f193a27b9c817","abstract_canon_sha256":"0afa730a83845dbb3178ba39167ae2d41af1356d18d634dbd8e14972a7768d7e"},"schema_version":"1.0"},"canonical_sha256":"0b6b9e6de837b7fb3a7d7987c5d14bd085bbad57852977b47343abceb04e9f7a","source":{"kind":"arxiv","id":"1802.03729","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03729","created_at":"2026-05-18T00:23:50Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03729v1","created_at":"2026-05-18T00:23:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03729","created_at":"2026-05-18T00:23:50Z"},{"alias_kind":"pith_short_12","alias_value":"BNVZ43PIG637","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BNVZ43PIG637WOT5","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BNVZ43PI","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BNVZ43PIG637WOT5PGD4LUKL2C","target":"record","payload":{"canonical_record":{"source":{"id":"1802.03729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-11T12:14:56Z","cross_cats_sorted":[],"title_canon_sha256":"b6aa5f1d49525ec80f1932984eddb57ab4dec8e8259a7409356f193a27b9c817","abstract_canon_sha256":"0afa730a83845dbb3178ba39167ae2d41af1356d18d634dbd8e14972a7768d7e"},"schema_version":"1.0"},"canonical_sha256":"0b6b9e6de837b7fb3a7d7987c5d14bd085bbad57852977b47343abceb04e9f7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:50.641715Z","signature_b64":"3u+Q5i5kQcvXasEWi8WIH6d0GDpku9EljHnxBBXzLdtzg2YoLT6ajHhL+KVnyvdLKx0mPsgTOK/0H9nnkXN8Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b6b9e6de837b7fb3a7d7987c5d14bd085bbad57852977b47343abceb04e9f7a","last_reissued_at":"2026-05-18T00:23:50.641215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:50.641215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.03729","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":"2026-05-18T00:23:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k20M3smL6uGLblJI3BLhJhf5E8YW/1YP4ikGb5wfAXppY6QAUyk6z55hBvs6MQfDU6pJXkIZEwiRU9fQxWQHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:37:58.118766Z"},"content_sha256":"f2943c2a8a143f6a4e3205ac35867d0ee43f81add157193eebe7a6fec2e0b868","schema_version":"1.0","event_id":"sha256:f2943c2a8a143f6a4e3205ac35867d0ee43f81add157193eebe7a6fec2e0b868"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BNVZ43PIG637WOT5PGD4LUKL2C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The three point gauge algebra $\\mathcal V\\ltimes \\mathfrak{sl}(2, \\mathcal R) \\oplus\\left(\\Omega_{\\mathcal R}/d{\\mathcal R}\\right)$ and an action on a Fock space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Ben Cox, Elizabeth Jurisich, Renato Martins","submitted_at":"2018-02-11T12:14:56Z","abstract_excerpt":"The three point current algebra $\\mathfrak{sl}(2,\\mathcal R)$ where $\\mathcal R=\\mathbb C[t,t^{-1},u\\,|\\,u^2=t^2+4t ]$ and three-point Virasoro algebra both act on a previously constructed Fock space. In this paper we prove that the semi-direct product, i.e. the gauge algebra acts on the Fock space as well."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03729","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":"2026-05-18T00:23:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rQTmKSGVeOVhpC7zM/sHXmCCovyqIaDRbw5GF+V9FT+pVe/rwKAMY29CSbYpJVAMko9A4V7P7cHnUzjktbCOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:37:58.119816Z"},"content_sha256":"7ad55194cb90210486363a72c172c26bae491cfbe76b31470d9d3a1a46bf4c00","schema_version":"1.0","event_id":"sha256:7ad55194cb90210486363a72c172c26bae491cfbe76b31470d9d3a1a46bf4c00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BNVZ43PIG637WOT5PGD4LUKL2C/bundle.json","state_url":"https://pith.science/pith/BNVZ43PIG637WOT5PGD4LUKL2C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BNVZ43PIG637WOT5PGD4LUKL2C/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":"2026-05-31T06:37:58Z","links":{"resolver":"https://pith.science/pith/BNVZ43PIG637WOT5PGD4LUKL2C","bundle":"https://pith.science/pith/BNVZ43PIG637WOT5PGD4LUKL2C/bundle.json","state":"https://pith.science/pith/BNVZ43PIG637WOT5PGD4LUKL2C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BNVZ43PIG637WOT5PGD4LUKL2C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BNVZ43PIG637WOT5PGD4LUKL2C","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":"0afa730a83845dbb3178ba39167ae2d41af1356d18d634dbd8e14972a7768d7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-11T12:14:56Z","title_canon_sha256":"b6aa5f1d49525ec80f1932984eddb57ab4dec8e8259a7409356f193a27b9c817"},"schema_version":"1.0","source":{"id":"1802.03729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03729","created_at":"2026-05-18T00:23:50Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03729v1","created_at":"2026-05-18T00:23:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03729","created_at":"2026-05-18T00:23:50Z"},{"alias_kind":"pith_short_12","alias_value":"BNVZ43PIG637","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BNVZ43PIG637WOT5","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BNVZ43PI","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:7ad55194cb90210486363a72c172c26bae491cfbe76b31470d9d3a1a46bf4c00","target":"graph","created_at":"2026-05-18T00:23:50Z","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 three point current algebra $\\mathfrak{sl}(2,\\mathcal R)$ where $\\mathcal R=\\mathbb C[t,t^{-1},u\\,|\\,u^2=t^2+4t ]$ and three-point Virasoro algebra both act on a previously constructed Fock space. In this paper we prove that the semi-direct product, i.e. the gauge algebra acts on the Fock space as well.","authors_text":"Ben Cox, Elizabeth Jurisich, Renato Martins","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-11T12:14:56Z","title":"The three point gauge algebra $\\mathcal V\\ltimes \\mathfrak{sl}(2, \\mathcal R) \\oplus\\left(\\Omega_{\\mathcal R}/d{\\mathcal R}\\right)$ and an action on a Fock space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03729","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:f2943c2a8a143f6a4e3205ac35867d0ee43f81add157193eebe7a6fec2e0b868","target":"record","created_at":"2026-05-18T00:23:50Z","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":"0afa730a83845dbb3178ba39167ae2d41af1356d18d634dbd8e14972a7768d7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-02-11T12:14:56Z","title_canon_sha256":"b6aa5f1d49525ec80f1932984eddb57ab4dec8e8259a7409356f193a27b9c817"},"schema_version":"1.0","source":{"id":"1802.03729","kind":"arxiv","version":1}},"canonical_sha256":"0b6b9e6de837b7fb3a7d7987c5d14bd085bbad57852977b47343abceb04e9f7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b6b9e6de837b7fb3a7d7987c5d14bd085bbad57852977b47343abceb04e9f7a","first_computed_at":"2026-05-18T00:23:50.641215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:50.641215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3u+Q5i5kQcvXasEWi8WIH6d0GDpku9EljHnxBBXzLdtzg2YoLT6ajHhL+KVnyvdLKx0mPsgTOK/0H9nnkXN8Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:50.641715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.03729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2943c2a8a143f6a4e3205ac35867d0ee43f81add157193eebe7a6fec2e0b868","sha256:7ad55194cb90210486363a72c172c26bae491cfbe76b31470d9d3a1a46bf4c00"],"state_sha256":"39e4b83207c4890d8b2e4bd6eb5d9a4257d9f7bc737d5ac7172d80184a8a1165"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PKQ1mRs1b5ZCZAe5cUk4Sq6FYcs6UUyOVhM1K5qGYnZPznODpPeI8fmtYUA5ui73z1jO/LgBjFRNB6258MSmDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:37:58.123711Z","bundle_sha256":"f246aa28dbb69d4b91836bf232d32d65434ff4fc8274c726c8c4acb2fab756ee"}}