{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AKS6C2HWHWZRUJP7FAN5UGHR57","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":"e10a6b5fda5e89874de5ab7a0b4c2ea9c58799bf9be82817b30ee13149154199","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T14:52:45Z","title_canon_sha256":"64a6d6a6d0fa28bb1de89c4d7cb345c33fc6462b398dd16b56d1bd0608c99629"},"schema_version":"1.0","source":{"id":"1109.4834","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4834","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4834v3","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4834","created_at":"2026-05-18T02:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"AKS6C2HWHWZR","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AKS6C2HWHWZRUJP7","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AKS6C2HW","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:6bfeafbf3495c0a8b8bf698e9457f67d2f4cdce927e36126dbf7283d82a625d9","target":"graph","created_at":"2026-05-18T02:38:53Z","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 note we investigate certain topological aspects of the effective action of the NS5-brane in type IIA string theory. To facilitate the study of the corresponding partition function, we define a cohomology class whose vanishing is a necessary condition for this function to be well-defined. This leads to various topological conditions, including a twisted Fivebrane structure as well as secondary cohomology operations arising from a K-theoretic description. We explain how these operations also generate the topological part of the action as well as the phase of the partition function. Part ","authors_text":"Hisham Sati","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T14:52:45Z","title":"Topological aspects of the NS5-brane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4834","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:b9a709d748679534cabd55f934e37dc5c7851ad3bfffbe8a60d05e190cfb414a","target":"record","created_at":"2026-05-18T02:38:53Z","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":"e10a6b5fda5e89874de5ab7a0b4c2ea9c58799bf9be82817b30ee13149154199","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T14:52:45Z","title_canon_sha256":"64a6d6a6d0fa28bb1de89c4d7cb345c33fc6462b398dd16b56d1bd0608c99629"},"schema_version":"1.0","source":{"id":"1109.4834","kind":"arxiv","version":3}},"canonical_sha256":"02a5e168f63db31a25ff281bda18f1efc5e080c07781c88d77822e62898a628c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02a5e168f63db31a25ff281bda18f1efc5e080c07781c88d77822e62898a628c","first_computed_at":"2026-05-18T02:38:53.378267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:53.378267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W+qRYT1bonrmlSxbGeFPWsyFsBKjNXLoL7UIijDy7636pDIL7H2v+MjjoBMk5VzqxaQsd9IFS/ehINbpp6MWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:53.378669Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4834","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9a709d748679534cabd55f934e37dc5c7851ad3bfffbe8a60d05e190cfb414a","sha256:6bfeafbf3495c0a8b8bf698e9457f67d2f4cdce927e36126dbf7283d82a625d9"],"state_sha256":"876d331d107633c8c585f8b125d181346d48720cc81e03f87d8efc9ec29cc01d"}