{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VY666DZCFEZDVHBNRRR4MTRLWR","short_pith_number":"pith:VY666DZC","canonical_record":{"source":{"id":"1411.4835","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-11-18T13:29:54Z","cross_cats_sorted":[],"title_canon_sha256":"c5f8c9b60d4c639a983e756af0fba6d38f3d1589853dddac1af265d049402a6b","abstract_canon_sha256":"4a1b2ee5651d9a675aa008ba7989cb071a1020b4a43b51718ece2f352b71226b"},"schema_version":"1.0"},"canonical_sha256":"ae3def0f2229323a9c2d8c63c64e2bb45358e5029a8fd1ded0cd9cdd87e312fd","source":{"kind":"arxiv","id":"1411.4835","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4835","created_at":"2026-05-18T01:41:29Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4835v1","created_at":"2026-05-18T01:41:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4835","created_at":"2026-05-18T01:41:29Z"},{"alias_kind":"pith_short_12","alias_value":"VY666DZCFEZD","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VY666DZCFEZDVHBN","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VY666DZC","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VY666DZCFEZDVHBNRRR4MTRLWR","target":"record","payload":{"canonical_record":{"source":{"id":"1411.4835","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-11-18T13:29:54Z","cross_cats_sorted":[],"title_canon_sha256":"c5f8c9b60d4c639a983e756af0fba6d38f3d1589853dddac1af265d049402a6b","abstract_canon_sha256":"4a1b2ee5651d9a675aa008ba7989cb071a1020b4a43b51718ece2f352b71226b"},"schema_version":"1.0"},"canonical_sha256":"ae3def0f2229323a9c2d8c63c64e2bb45358e5029a8fd1ded0cd9cdd87e312fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:29.522111Z","signature_b64":"T/lODtbySi5VEEkjoIcKa0VMNZ2Zy3/+ngcRa+dAnXB8muutSDxA9Rs4iwme3SbFjtE/plN5s/7upS0MB9hvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae3def0f2229323a9c2d8c63c64e2bb45358e5029a8fd1ded0cd9cdd87e312fd","last_reissued_at":"2026-05-18T01:41:29.521432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:29.521432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.4835","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":"2026-05-18T01:41:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iu+5Ed7Q59dRjA0ez8kCSUSeaNBRcVJDpGKXXQKcaCdZKH8BYsDH8Z6Y+IpK+Z5oNlKYZ0gfTUbgjjNKlo5EAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:22:07.984915Z"},"content_sha256":"f0514edcab4edfae98acba53b03476fe90469d10fcc354d31b3133cbe816501a","schema_version":"1.0","event_id":"sha256:f0514edcab4edfae98acba53b03476fe90469d10fcc354d31b3133cbe816501a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VY666DZCFEZDVHBNRRR4MTRLWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra $\\widehat{\\mathfrak{sl}_2}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"A.Vershik, N.Tsilevich","submitted_at":"2014-11-18T13:29:54Z","abstract_excerpt":"We introduce and study the so-called serpentine representations of the infinite symmetric group $\\sinf$, which turn out to be closely related to the basic representation of the affine Lie algebra $\\widehat{\\mathfrak{sl}_2}$ and representations of the Virasoro algebra.\n  This is a new version of the manuscript of the same authors \"On a relation between the basic representation of the affine Lie algebra $\\widehat\\sl$ and a Schur--Weyl representation of the infinite symmetric group\" (arXiv:1403.1558)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4835","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":"2026-05-18T01:41:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a6ny72S0x/vfrdLX6+IRnmvXRFKdyNV4vNXXeiFA0qaz/Tiepkt5S0jGi53iTmmdDcFqWW+kUvGa+dmXBbugBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T21:22:07.985631Z"},"content_sha256":"a1cc491450a940769e3eccf0177b8565efd10ac2b45bc002b2250b3e1658bcb9","schema_version":"1.0","event_id":"sha256:a1cc491450a940769e3eccf0177b8565efd10ac2b45bc002b2250b3e1658bcb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VY666DZCFEZDVHBNRRR4MTRLWR/bundle.json","state_url":"https://pith.science/pith/VY666DZCFEZDVHBNRRR4MTRLWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VY666DZCFEZDVHBNRRR4MTRLWR/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":"2026-06-08T21:22:07Z","links":{"resolver":"https://pith.science/pith/VY666DZCFEZDVHBNRRR4MTRLWR","bundle":"https://pith.science/pith/VY666DZCFEZDVHBNRRR4MTRLWR/bundle.json","state":"https://pith.science/pith/VY666DZCFEZDVHBNRRR4MTRLWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VY666DZCFEZDVHBNRRR4MTRLWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VY666DZCFEZDVHBNRRR4MTRLWR","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":"4a1b2ee5651d9a675aa008ba7989cb071a1020b4a43b51718ece2f352b71226b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-11-18T13:29:54Z","title_canon_sha256":"c5f8c9b60d4c639a983e756af0fba6d38f3d1589853dddac1af265d049402a6b"},"schema_version":"1.0","source":{"id":"1411.4835","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4835","created_at":"2026-05-18T01:41:29Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4835v1","created_at":"2026-05-18T01:41:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4835","created_at":"2026-05-18T01:41:29Z"},{"alias_kind":"pith_short_12","alias_value":"VY666DZCFEZD","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VY666DZCFEZDVHBN","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VY666DZC","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:a1cc491450a940769e3eccf0177b8565efd10ac2b45bc002b2250b3e1658bcb9","target":"graph","created_at":"2026-05-18T01:41:29Z","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 introduce and study the so-called serpentine representations of the infinite symmetric group $\\sinf$, which turn out to be closely related to the basic representation of the affine Lie algebra $\\widehat{\\mathfrak{sl}_2}$ and representations of the Virasoro algebra.\n  This is a new version of the manuscript of the same authors \"On a relation between the basic representation of the affine Lie algebra $\\widehat\\sl$ and a Schur--Weyl representation of the infinite symmetric group\" (arXiv:1403.1558)","authors_text":"A.Vershik, N.Tsilevich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-11-18T13:29:54Z","title":"The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra $\\widehat{\\mathfrak{sl}_2}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4835","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:f0514edcab4edfae98acba53b03476fe90469d10fcc354d31b3133cbe816501a","target":"record","created_at":"2026-05-18T01:41:29Z","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":"4a1b2ee5651d9a675aa008ba7989cb071a1020b4a43b51718ece2f352b71226b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-11-18T13:29:54Z","title_canon_sha256":"c5f8c9b60d4c639a983e756af0fba6d38f3d1589853dddac1af265d049402a6b"},"schema_version":"1.0","source":{"id":"1411.4835","kind":"arxiv","version":1}},"canonical_sha256":"ae3def0f2229323a9c2d8c63c64e2bb45358e5029a8fd1ded0cd9cdd87e312fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae3def0f2229323a9c2d8c63c64e2bb45358e5029a8fd1ded0cd9cdd87e312fd","first_computed_at":"2026-05-18T01:41:29.521432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:29.521432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T/lODtbySi5VEEkjoIcKa0VMNZ2Zy3/+ngcRa+dAnXB8muutSDxA9Rs4iwme3SbFjtE/plN5s/7upS0MB9hvBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:29.522111Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4835","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0514edcab4edfae98acba53b03476fe90469d10fcc354d31b3133cbe816501a","sha256:a1cc491450a940769e3eccf0177b8565efd10ac2b45bc002b2250b3e1658bcb9"],"state_sha256":"bea31751f179be948fc37e41952949f7fc47a08390f7986575aeb0c33013175e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VTY6QwvZ4CZsxoD6AFUnPfoEWxpTSjaOKcY2MmggQucT4COgpW+6XuKoHV+becxgSfYAEIZNepW6lQiojEoIBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T21:22:07.989334Z","bundle_sha256":"e968f8f2b56f639a56aa3b4dadde5a51a21e75f4a3cf35dd6c80f038059853bd"}}