{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:N44NM2LGEHQA5DPWIFSVUUSUVM","short_pith_number":"pith:N44NM2LG","canonical_record":{"source":{"id":"1203.1709","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-08T09:10:24Z","cross_cats_sorted":["hep-th","math.MP","math.QA"],"title_canon_sha256":"fcabaeb0903d86685022ad64bea5c2dd909a5d5adebb1ee40f2732a3791af076","abstract_canon_sha256":"8684931cbadce33530289d98cd8bcc9dd848c28ab09deef2b445670d62c073a0"},"schema_version":"1.0"},"canonical_sha256":"6f38d6696621e00e8df641655a5254ab18924ae8ec73a1ce774b07997853b9a9","source":{"kind":"arxiv","id":"1203.1709","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1709","created_at":"2026-05-18T03:28:17Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1709v3","created_at":"2026-05-18T03:28:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1709","created_at":"2026-05-18T03:28:17Z"},{"alias_kind":"pith_short_12","alias_value":"N44NM2LGEHQA","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"N44NM2LGEHQA5DPW","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"N44NM2LG","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:N44NM2LGEHQA5DPWIFSVUUSUVM","target":"record","payload":{"canonical_record":{"source":{"id":"1203.1709","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-08T09:10:24Z","cross_cats_sorted":["hep-th","math.MP","math.QA"],"title_canon_sha256":"fcabaeb0903d86685022ad64bea5c2dd909a5d5adebb1ee40f2732a3791af076","abstract_canon_sha256":"8684931cbadce33530289d98cd8bcc9dd848c28ab09deef2b445670d62c073a0"},"schema_version":"1.0"},"canonical_sha256":"6f38d6696621e00e8df641655a5254ab18924ae8ec73a1ce774b07997853b9a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:17.614137Z","signature_b64":"506BH5ZvMk3ri5oaWkDeRfmwxYgkRxzRoYHrgZPThdqwJ9U5z8JxJEVtIeKl/LubsdgaX4mKshW8FJOy2RlQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f38d6696621e00e8df641655a5254ab18924ae8ec73a1ce774b07997853b9a9","last_reissued_at":"2026-05-18T03:28:17.613361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:17.613361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.1709","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:28:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kl7bSmLiHwnzrwtkEMVxuEXe+YzP943oMq+6MAX6oMkc5OnLyQnpaRfrk28gPfNNeAgFZb9W8Mf6EGT6ZjeZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T23:32:16.551079Z"},"content_sha256":"3d3d652c87817d75e1b190722d6bc66c6bef70f928c84fb21f06c596c3321ecb","schema_version":"1.0","event_id":"sha256:3d3d652c87817d75e1b190722d6bc66c6bef70f928c84fb21f06c596c3321ecb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:N44NM2LGEHQA5DPWIFSVUUSUVM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"T-duality of current algebras and their quantization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Pedram Hekmati, Varghese Mathai","submitted_at":"2012-03-08T09:10:24Z","abstract_excerpt":"In this paper we show that the T-duality transform of Bouwknegt, Evslin and Mathai applies to determine isomorphisms of certain current algebras and their associated vertex algebras on topologically distinct T-dual spacetimes compactified to circle bundles with $H$-flux."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1709","kind":"arxiv","version":3},"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":"2026-05-18T03:28:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8rz15541pEzHs47YVlCBQw2yEw99gupIVcP6nRk0A6EFhiooUGEvjD1tNge8f8MW9xkr3rFyK0iAuNQiiRU6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T23:32:16.551699Z"},"content_sha256":"c05abf79cd2331cbb7721194519e013c1db661e5b0bde49bc3b01e97bbfd4ca0","schema_version":"1.0","event_id":"sha256:c05abf79cd2331cbb7721194519e013c1db661e5b0bde49bc3b01e97bbfd4ca0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N44NM2LGEHQA5DPWIFSVUUSUVM/bundle.json","state_url":"https://pith.science/pith/N44NM2LGEHQA5DPWIFSVUUSUVM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N44NM2LGEHQA5DPWIFSVUUSUVM/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":"2026-05-24T23:32:16Z","links":{"resolver":"https://pith.science/pith/N44NM2LGEHQA5DPWIFSVUUSUVM","bundle":"https://pith.science/pith/N44NM2LGEHQA5DPWIFSVUUSUVM/bundle.json","state":"https://pith.science/pith/N44NM2LGEHQA5DPWIFSVUUSUVM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N44NM2LGEHQA5DPWIFSVUUSUVM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:N44NM2LGEHQA5DPWIFSVUUSUVM","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":"8684931cbadce33530289d98cd8bcc9dd848c28ab09deef2b445670d62c073a0","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-08T09:10:24Z","title_canon_sha256":"fcabaeb0903d86685022ad64bea5c2dd909a5d5adebb1ee40f2732a3791af076"},"schema_version":"1.0","source":{"id":"1203.1709","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1709","created_at":"2026-05-18T03:28:17Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1709v3","created_at":"2026-05-18T03:28:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1709","created_at":"2026-05-18T03:28:17Z"},{"alias_kind":"pith_short_12","alias_value":"N44NM2LGEHQA","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"N44NM2LGEHQA5DPW","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"N44NM2LG","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:c05abf79cd2331cbb7721194519e013c1db661e5b0bde49bc3b01e97bbfd4ca0","target":"graph","created_at":"2026-05-18T03:28:17Z","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 show that the T-duality transform of Bouwknegt, Evslin and Mathai applies to determine isomorphisms of certain current algebras and their associated vertex algebras on topologically distinct T-dual spacetimes compactified to circle bundles with $H$-flux.","authors_text":"Pedram Hekmati, Varghese Mathai","cross_cats":["hep-th","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-08T09:10:24Z","title":"T-duality of current algebras and their quantization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1709","kind":"arxiv","version":3},"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":"sha256:3d3d652c87817d75e1b190722d6bc66c6bef70f928c84fb21f06c596c3321ecb","target":"record","created_at":"2026-05-18T03:28:17Z","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":"8684931cbadce33530289d98cd8bcc9dd848c28ab09deef2b445670d62c073a0","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-08T09:10:24Z","title_canon_sha256":"fcabaeb0903d86685022ad64bea5c2dd909a5d5adebb1ee40f2732a3791af076"},"schema_version":"1.0","source":{"id":"1203.1709","kind":"arxiv","version":3}},"canonical_sha256":"6f38d6696621e00e8df641655a5254ab18924ae8ec73a1ce774b07997853b9a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f38d6696621e00e8df641655a5254ab18924ae8ec73a1ce774b07997853b9a9","first_computed_at":"2026-05-18T03:28:17.613361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:17.613361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"506BH5ZvMk3ri5oaWkDeRfmwxYgkRxzRoYHrgZPThdqwJ9U5z8JxJEVtIeKl/LubsdgaX4mKshW8FJOy2RlQDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:17.614137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1709","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d3d652c87817d75e1b190722d6bc66c6bef70f928c84fb21f06c596c3321ecb","sha256:c05abf79cd2331cbb7721194519e013c1db661e5b0bde49bc3b01e97bbfd4ca0"],"state_sha256":"16ee3bca8afbf81d6f1561e997421ead26aa4c0a52852607591d44b79e0b8122"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OKqV/6NuaKsg6k2yFoEn2wCv9nxtE47TQycnF8OpZLgWZy555+bsTG3gwWEp59O77D0eeJyO1L2D0tGnoFMaAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T23:32:16.555070Z","bundle_sha256":"8dbf95f2961d752bc0125b6ce038995540ea752381e23854ecd4b79f7e9f9fdc"}}