{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:JT7JCMNQVNBUODVU47TYMUVLAO","short_pith_number":"pith:JT7JCMNQ","canonical_record":{"source":{"id":"2310.06064","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2023-10-09T18:14:14Z","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"title_canon_sha256":"938213c143b7bad48dca2cff0fecd8f39689f7a4ceb0d5c0aa756ba912689a52","abstract_canon_sha256":"39c36bd4a337e66dee97ce37e54b8a4ccf0647395c6828f4e6225019882c0399"},"schema_version":"1.0"},"canonical_sha256":"4cfe9131b0ab43470eb4e7e78652ab03bd29140b97d26b2baf9946fb78f90ef0","source":{"kind":"arxiv","id":"2310.06064","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.06064","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"arxiv_version","alias_value":"2310.06064v3","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.06064","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"pith_short_12","alias_value":"JT7JCMNQVNBU","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"pith_short_16","alias_value":"JT7JCMNQVNBUODVU","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"pith_short_8","alias_value":"JT7JCMNQ","created_at":"2026-07-05T08:47:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:JT7JCMNQVNBUODVU47TYMUVLAO","target":"record","payload":{"canonical_record":{"source":{"id":"2310.06064","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2023-10-09T18:14:14Z","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"title_canon_sha256":"938213c143b7bad48dca2cff0fecd8f39689f7a4ceb0d5c0aa756ba912689a52","abstract_canon_sha256":"39c36bd4a337e66dee97ce37e54b8a4ccf0647395c6828f4e6225019882c0399"},"schema_version":"1.0"},"canonical_sha256":"4cfe9131b0ab43470eb4e7e78652ab03bd29140b97d26b2baf9946fb78f90ef0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:47:47.617256Z","signature_b64":"ToCES5s1BasDNBE12fiYMGuhtXJFbrKhXYa7Tbw3jy0nfXfsPlZrQPTK3T9NnB46CpVx6w5ZxorrZmySON4yDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cfe9131b0ab43470eb4e7e78652ab03bd29140b97d26b2baf9946fb78f90ef0","last_reissued_at":"2026-07-05T08:47:47.616660Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:47:47.616660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.06064","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":"2026-07-05T08:47:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0hTkVshCHlASDb+nejeodAKrMAJoZb9NhGdrTXsFJ2R7yGeukXJFQknyL7b68G5TiQa2tXa4SSkUVhLr8nR4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T00:53:04.776011Z"},"content_sha256":"07ea5d64415d8ad2e463d54d95c5f50d6aaf5a7526f61d7169c7d7868180861f","schema_version":"1.0","event_id":"sha256:07ea5d64415d8ad2e463d54d95c5f50d6aaf5a7526f61d7169c7d7868180861f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:JT7JCMNQVNBUODVU47TYMUVLAO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivariant Topological T-Duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"primary_cat":"math.KT","authors_text":"Thomas Schick (Universit\\\"at G\\\"ottingen), Tom Dove (Universit\\\"at G\\\"ottingen)","submitted_at":"2023-10-09T18:14:14Z","abstract_excerpt":"Topological T-duality is a relationship between pairs (E, P ) over a fixed space X, where E over X is a principal torus bundle and P over E is a twist, such as a gerbe of principal PU(H)-bundle. This is of interest to topologists because of the T-duality transformation: a T-duality relation between pairs (E, P ) and (F, Q ) comes with an isomorphism (with degree shift) between the twisted K-theory of E and the twisted K-theory of F. We formulate topological T-duality in the equivariant setting, following the definition of Bunke, Rumpf, and Schick. We define the T-duality transformation in equi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.06064","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.06064/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:47:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v6722C6g/xmVyyjTkP6/QTD3X5BW5kcBoTkZnKY/17LXZuAaTU4c1C/VYy7noLFQn+9cP8XHzsmtfSn7sb2GCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T00:53:04.776438Z"},"content_sha256":"98f67b10f4aadf39004281870df93e0626f892045a4019517396336aff75bde4","schema_version":"1.0","event_id":"sha256:98f67b10f4aadf39004281870df93e0626f892045a4019517396336aff75bde4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JT7JCMNQVNBUODVU47TYMUVLAO/bundle.json","state_url":"https://pith.science/pith/JT7JCMNQVNBUODVU47TYMUVLAO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JT7JCMNQVNBUODVU47TYMUVLAO/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":"2026-08-14T00:53:04Z","links":{"resolver":"https://pith.science/pith/JT7JCMNQVNBUODVU47TYMUVLAO","bundle":"https://pith.science/pith/JT7JCMNQVNBUODVU47TYMUVLAO/bundle.json","state":"https://pith.science/pith/JT7JCMNQVNBUODVU47TYMUVLAO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JT7JCMNQVNBUODVU47TYMUVLAO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JT7JCMNQVNBUODVU47TYMUVLAO","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":"39c36bd4a337e66dee97ce37e54b8a4ccf0647395c6828f4e6225019882c0399","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2023-10-09T18:14:14Z","title_canon_sha256":"938213c143b7bad48dca2cff0fecd8f39689f7a4ceb0d5c0aa756ba912689a52"},"schema_version":"1.0","source":{"id":"2310.06064","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.06064","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"arxiv_version","alias_value":"2310.06064v3","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.06064","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"pith_short_12","alias_value":"JT7JCMNQVNBU","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"pith_short_16","alias_value":"JT7JCMNQVNBUODVU","created_at":"2026-07-05T08:47:47Z"},{"alias_kind":"pith_short_8","alias_value":"JT7JCMNQ","created_at":"2026-07-05T08:47:47Z"}],"graph_snapshots":[{"event_id":"sha256:98f67b10f4aadf39004281870df93e0626f892045a4019517396336aff75bde4","target":"graph","created_at":"2026-07-05T08:47:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2310.06064/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Topological T-duality is a relationship between pairs (E, P ) over a fixed space X, where E over X is a principal torus bundle and P over E is a twist, such as a gerbe of principal PU(H)-bundle. This is of interest to topologists because of the T-duality transformation: a T-duality relation between pairs (E, P ) and (F, Q ) comes with an isomorphism (with degree shift) between the twisted K-theory of E and the twisted K-theory of F. We formulate topological T-duality in the equivariant setting, following the definition of Bunke, Rumpf, and Schick. We define the T-duality transformation in equi","authors_text":"Thomas Schick (Universit\\\"at G\\\"ottingen), Tom Dove (Universit\\\"at G\\\"ottingen)","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2023-10-09T18:14:14Z","title":"Equivariant Topological T-Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.06064","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":"sha256:07ea5d64415d8ad2e463d54d95c5f50d6aaf5a7526f61d7169c7d7868180861f","target":"record","created_at":"2026-07-05T08:47:47Z","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":"39c36bd4a337e66dee97ce37e54b8a4ccf0647395c6828f4e6225019882c0399","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2023-10-09T18:14:14Z","title_canon_sha256":"938213c143b7bad48dca2cff0fecd8f39689f7a4ceb0d5c0aa756ba912689a52"},"schema_version":"1.0","source":{"id":"2310.06064","kind":"arxiv","version":3}},"canonical_sha256":"4cfe9131b0ab43470eb4e7e78652ab03bd29140b97d26b2baf9946fb78f90ef0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cfe9131b0ab43470eb4e7e78652ab03bd29140b97d26b2baf9946fb78f90ef0","first_computed_at":"2026-07-05T08:47:47.616660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:47:47.616660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ToCES5s1BasDNBE12fiYMGuhtXJFbrKhXYa7Tbw3jy0nfXfsPlZrQPTK3T9NnB46CpVx6w5ZxorrZmySON4yDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:47:47.617256Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.06064","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07ea5d64415d8ad2e463d54d95c5f50d6aaf5a7526f61d7169c7d7868180861f","sha256:98f67b10f4aadf39004281870df93e0626f892045a4019517396336aff75bde4"],"state_sha256":"5a6d30f4f9989ec9ab94a8855bc216dab8e3fd77763fc2872d7c3e377d927313"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RqLJZ92sSwiQ1G21Fvej+/7A2MXstFxUJkHj0gxB/3+0GgSvpMAcs4mWB6JTxt1GuzoaHG1iMVnWSGmOAHe8Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T00:53:04.797441Z","bundle_sha256":"8c701dce0e397ffa34d694290cfa1f0d748ff90e32dd64a128ce1231106d70bb"}}