{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:G7HFPY2PSPUEUSBAROA7YJ4IMB","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":"b9fcc80e8b6348fcc596c8aa18a8acbebc974c5e7eecb5902d63d79a0af1bec5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-26T18:00:05Z","title_canon_sha256":"b453712b0f841df3ba190b2c112d94bcf34c7c3b4e252df7d1cb0eb2f857ff49"},"schema_version":"1.0","source":{"id":"2306.14959","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.14959","created_at":"2026-07-05T06:32:11Z"},{"alias_kind":"arxiv_version","alias_value":"2306.14959v2","created_at":"2026-07-05T06:32:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.14959","created_at":"2026-07-05T06:32:11Z"},{"alias_kind":"pith_short_12","alias_value":"G7HFPY2PSPUE","created_at":"2026-07-05T06:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"G7HFPY2PSPUEUSBA","created_at":"2026-07-05T06:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"G7HFPY2P","created_at":"2026-07-05T06:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:5848ca8af79a5cb755875dc3f188a0b3a8dfc5044564509acfa3f15c9c4c0d4a","target":"graph","created_at":"2026-07-05T06:32:11Z","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/2306.14959/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Conventional wisdom dictates that $\\mathbb{Z}_N$ factors in the integral cohomology group $H^p(X_n, \\mathbb{Z})$ of a compact manifold $X_n$ cannot be computed via smooth $p$-forms. We revisit this lore in light of the dimensional reduction of string theory on $X_n$, endowed with a $G$-structure metric that leads to a supersymmetric EFT. If massive $p$-form eigenmodes of the Laplacian enter the EFT, then torsion cycles coupling to them will have a non-trivial smeared delta form, that is an EFT long-wavelength description of $p$-form currents of the $(n-p)$-cycles of $X_n$. We conjecture that, ","authors_text":"Fernando Marchesano, Gonzalo F. Casas, Matteo Zatti","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-26T18:00:05Z","title":"Torsion in cohomology and dimensional reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.14959","kind":"arxiv","version":2},"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:f8d8586fc0d10466e92ef0c7a1ae7c373221bb450acd132c51e1f380d3ce3086","target":"record","created_at":"2026-07-05T06:32:11Z","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":"b9fcc80e8b6348fcc596c8aa18a8acbebc974c5e7eecb5902d63d79a0af1bec5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-06-26T18:00:05Z","title_canon_sha256":"b453712b0f841df3ba190b2c112d94bcf34c7c3b4e252df7d1cb0eb2f857ff49"},"schema_version":"1.0","source":{"id":"2306.14959","kind":"arxiv","version":2}},"canonical_sha256":"37ce57e34f93e84a48208b81fc278860416692e2bf9bfea235790ddde8a14cf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37ce57e34f93e84a48208b81fc278860416692e2bf9bfea235790ddde8a14cf9","first_computed_at":"2026-07-05T06:32:11.324477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:32:11.324477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/eVsAcf23CHA1OS1ZxKptruMJdMP0y/uBhlJ3a7MVcufxf76WFZ/bVKKehdXSPtvycCBikCjBL6PLmVnv5MzDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:32:11.324868Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.14959","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8d8586fc0d10466e92ef0c7a1ae7c373221bb450acd132c51e1f380d3ce3086","sha256:5848ca8af79a5cb755875dc3f188a0b3a8dfc5044564509acfa3f15c9c4c0d4a"],"state_sha256":"16e4a2d6afb9ae46ab540f07c9ee3a164ebe1793a1f1adac34546989ffdf457c"}