{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:T5U67KAQQXX4VIZPZIJLLYNCV4","short_pith_number":"pith:T5U67KAQ","canonical_record":{"source":{"id":"hep-th/0607135","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-07-19T22:00:58Z","cross_cats_sorted":[],"title_canon_sha256":"4bf2c8a9fa4f84b6ae71f1abbd967b17b1a03c3e7a564781731b003a3fb0c41a","abstract_canon_sha256":"813e65b7d879c6c07c32323260f6f0b0440c34a1c36f9e5d373b635a3dacc0d9"},"schema_version":"1.0"},"canonical_sha256":"9f69efa81085efcaa32fca12b5e1a2af26ae2026d64834d71ae0ffe3e9cb2574","source":{"kind":"arxiv","id":"hep-th/0607135","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0607135","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0607135v3","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0607135","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"T5U67KAQQXX4","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_16","alias_value":"T5U67KAQQXX4VIZP","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_8","alias_value":"T5U67KAQ","created_at":"2026-07-04T17:02:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:T5U67KAQQXX4VIZPZIJLLYNCV4","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0607135","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-07-19T22:00:58Z","cross_cats_sorted":[],"title_canon_sha256":"4bf2c8a9fa4f84b6ae71f1abbd967b17b1a03c3e7a564781731b003a3fb0c41a","abstract_canon_sha256":"813e65b7d879c6c07c32323260f6f0b0440c34a1c36f9e5d373b635a3dacc0d9"},"schema_version":"1.0"},"canonical_sha256":"9f69efa81085efcaa32fca12b5e1a2af26ae2026d64834d71ae0ffe3e9cb2574","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:02:02.972147Z","signature_b64":"2HzDdy5+BWcQxvlmwzTL/qqv7wqIyEoJ4OSipLZ58/8Sqk7gAojaNkateMG9B2voujUxiU3aKhUHf45qT7QQBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f69efa81085efcaa32fca12b5e1a2af26ae2026d64834d71ae0ffe3e9cb2574","last_reissued_at":"2026-07-04T17:02:02.971753Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:02:02.971753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0607135","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":"2026-07-04T17:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6LNBxMDSHEE6/9ZrwxQmqMJGFNrNqyfdXQDYHQGhluAv5nRv7YhkjEB2A9oDLYuBZiGqKr+NXa+sSDxpviSTAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:16:46.194386Z"},"content_sha256":"c8c020669f6546d919b6c802fa818a96250f6be832760b2747377498b1891568","schema_version":"1.0","event_id":"sha256:c8c020669f6546d919b6c802fa818a96250f6be832760b2747377498b1891568"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:T5U67KAQQXX4VIZPZIJLLYNCV4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective descriptions of branes on non-geometric tori","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Akikazu Hashimoto, Ian Ellwood","submitted_at":"2006-07-19T22:00:58Z","abstract_excerpt":"We investigate the low-energy effective description of non-geometric compactifications constructed by T-dualizing two or three of the directions of a T^3 with non-vanishing H-flux. Our approach is to introduce a D3-brane in these geometries and to take an appropriate decoupling limit. In the case of two T-dualities, we find at low energies a non-commutative T^2 fibered non-trivially over an S^1. In the UV this theory is still decoupled from gravity, but is dual to a little string theory with flavor. For the case of three T-dualities, we do not find a sensible decoupling limit, casting doubt on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0607135","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/hep-th/0607135/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":"2026-07-04T17:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DJ+VblY1tApaCBexrsl+xrMfDn4fiRazqrwura+DEADKQ8FzG+2O5NsBtE6KkOhyfHHwyY/ddy9D0ye0pNAWDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:16:46.195446Z"},"content_sha256":"cd3a6187c047b285f3fe014be2ff2a2c3d241f7caeea7d19226a20afdcdbaa16","schema_version":"1.0","event_id":"sha256:cd3a6187c047b285f3fe014be2ff2a2c3d241f7caeea7d19226a20afdcdbaa16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T5U67KAQQXX4VIZPZIJLLYNCV4/bundle.json","state_url":"https://pith.science/pith/T5U67KAQQXX4VIZPZIJLLYNCV4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T5U67KAQQXX4VIZPZIJLLYNCV4/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":"2026-08-15T13:16:46Z","links":{"resolver":"https://pith.science/pith/T5U67KAQQXX4VIZPZIJLLYNCV4","bundle":"https://pith.science/pith/T5U67KAQQXX4VIZPZIJLLYNCV4/bundle.json","state":"https://pith.science/pith/T5U67KAQQXX4VIZPZIJLLYNCV4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T5U67KAQQXX4VIZPZIJLLYNCV4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:T5U67KAQQXX4VIZPZIJLLYNCV4","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":"813e65b7d879c6c07c32323260f6f0b0440c34a1c36f9e5d373b635a3dacc0d9","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-07-19T22:00:58Z","title_canon_sha256":"4bf2c8a9fa4f84b6ae71f1abbd967b17b1a03c3e7a564781731b003a3fb0c41a"},"schema_version":"1.0","source":{"id":"hep-th/0607135","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0607135","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0607135v3","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0607135","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"T5U67KAQQXX4","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_16","alias_value":"T5U67KAQQXX4VIZP","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_8","alias_value":"T5U67KAQ","created_at":"2026-07-04T17:02:02Z"}],"graph_snapshots":[{"event_id":"sha256:cd3a6187c047b285f3fe014be2ff2a2c3d241f7caeea7d19226a20afdcdbaa16","target":"graph","created_at":"2026-07-04T17:02:02Z","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/hep-th/0607135/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the low-energy effective description of non-geometric compactifications constructed by T-dualizing two or three of the directions of a T^3 with non-vanishing H-flux. Our approach is to introduce a D3-brane in these geometries and to take an appropriate decoupling limit. In the case of two T-dualities, we find at low energies a non-commutative T^2 fibered non-trivially over an S^1. In the UV this theory is still decoupled from gravity, but is dual to a little string theory with flavor. For the case of three T-dualities, we do not find a sensible decoupling limit, casting doubt on","authors_text":"Akikazu Hashimoto, Ian Ellwood","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-07-19T22:00:58Z","title":"Effective descriptions of branes on non-geometric tori"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0607135","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:c8c020669f6546d919b6c802fa818a96250f6be832760b2747377498b1891568","target":"record","created_at":"2026-07-04T17:02:02Z","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":"813e65b7d879c6c07c32323260f6f0b0440c34a1c36f9e5d373b635a3dacc0d9","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-07-19T22:00:58Z","title_canon_sha256":"4bf2c8a9fa4f84b6ae71f1abbd967b17b1a03c3e7a564781731b003a3fb0c41a"},"schema_version":"1.0","source":{"id":"hep-th/0607135","kind":"arxiv","version":3}},"canonical_sha256":"9f69efa81085efcaa32fca12b5e1a2af26ae2026d64834d71ae0ffe3e9cb2574","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f69efa81085efcaa32fca12b5e1a2af26ae2026d64834d71ae0ffe3e9cb2574","first_computed_at":"2026-07-04T17:02:02.971753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:02:02.971753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2HzDdy5+BWcQxvlmwzTL/qqv7wqIyEoJ4OSipLZ58/8Sqk7gAojaNkateMG9B2voujUxiU3aKhUHf45qT7QQBw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:02:02.972147Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0607135","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8c020669f6546d919b6c802fa818a96250f6be832760b2747377498b1891568","sha256:cd3a6187c047b285f3fe014be2ff2a2c3d241f7caeea7d19226a20afdcdbaa16"],"state_sha256":"b98fbc521cbb9b450e1558e9a4a9651910fc314e9c5bb1176587e9ae22ebcc2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bIZ5V51vgabW6e+2LO/SiP9/rd23vOcsCg0ihq7khbEBbWotE7dSu12Tv2wLiWycUQhrsQMwCNIRGo6/fDpzCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T13:16:46.207997Z","bundle_sha256":"8da90945ab3f48e6070b5f2bbfecc7c9c213f5a85b15ef6c37a18743985ade27"}}