{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:W2BZB4Z5FVWSFDOR6HQGQQURDY","short_pith_number":"pith:W2BZB4Z5","schema_version":"1.0","canonical_sha256":"b68390f33d2d6d228dd1f1e06842911e3d3fd75ee937f82fb8f889d4a04d9ccc","source":{"kind":"arxiv","id":"2006.02350","version":2},"attestation_state":"computed","paper":{"title":"On TCS $G_2$ manifolds and 4D Emergent Strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Fengjun Xu","submitted_at":"2020-06-03T16:00:01Z","abstract_excerpt":"In this note, we study the Swampland Distance Conjecture in TCS $G_2$ manifold compactifications of M-theory. In particular, we are interested in testing a refined version -- the Emergent String Conjecture, in settings with 4d $N=1$ supersymmetry. We find that a weakly coupled, tensionless fundamental heterotic string does emerge at the infinite distance limit characterized by shrinking the $K3$-fibre in a TCS $G_2$ manifold. Such a fundamental tensionless string leads to the parametrically leading infinite tower of asymptotically massless states, which is in line with the Emergent String Conj"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2006.02350","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-03T16:00:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"455a703f39d2c453a770b2e04ac4ee1c128679a946f02ed1551bef812d086b31","abstract_canon_sha256":"b3682c8c9a3838f856ce728ffeea2c1557f881769dd49cd038476d741a5cb2a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:46:55.368989Z","signature_b64":"ITN7nRdtHHIEDYNvidZ7fN91C2F03B4+PybOmnb+XG30cQ5nLSvhsoRnY9MVJQU/fNiFtdSdDnIgyFY0yOwzCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b68390f33d2d6d228dd1f1e06842911e3d3fd75ee937f82fb8f889d4a04d9ccc","last_reissued_at":"2026-07-05T01:46:55.368558Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:46:55.368558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On TCS $G_2$ manifolds and 4D Emergent Strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Fengjun Xu","submitted_at":"2020-06-03T16:00:01Z","abstract_excerpt":"In this note, we study the Swampland Distance Conjecture in TCS $G_2$ manifold compactifications of M-theory. In particular, we are interested in testing a refined version -- the Emergent String Conjecture, in settings with 4d $N=1$ supersymmetry. We find that a weakly coupled, tensionless fundamental heterotic string does emerge at the infinite distance limit characterized by shrinking the $K3$-fibre in a TCS $G_2$ manifold. Such a fundamental tensionless string leads to the parametrically leading infinite tower of asymptotically massless states, which is in line with the Emergent String Conj"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.02350","kind":"arxiv","version":2},"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/2006.02350/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2006.02350","created_at":"2026-07-05T01:46:55.368613+00:00"},{"alias_kind":"arxiv_version","alias_value":"2006.02350v2","created_at":"2026-07-05T01:46:55.368613+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.02350","created_at":"2026-07-05T01:46:55.368613+00:00"},{"alias_kind":"pith_short_12","alias_value":"W2BZB4Z5FVWS","created_at":"2026-07-05T01:46:55.368613+00:00"},{"alias_kind":"pith_short_16","alias_value":"W2BZB4Z5FVWSFDOR","created_at":"2026-07-05T01:46:55.368613+00:00"},{"alias_kind":"pith_short_8","alias_value":"W2BZB4Z5","created_at":"2026-07-05T01:46:55.368613+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2603.11163","citing_title":"Alice in Warpland: KK modes, Warped Compactifications and the Swampland","ref_index":70,"is_internal_anchor":false},{"citing_arxiv_id":"2605.12594","citing_title":"String probes, simple currents, and the no global symmetries conjecture","ref_index":35,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W2BZB4Z5FVWSFDOR6HQGQQURDY","json":"https://pith.science/pith/W2BZB4Z5FVWSFDOR6HQGQQURDY.json","graph_json":"https://pith.science/api/pith-number/W2BZB4Z5FVWSFDOR6HQGQQURDY/graph.json","events_json":"https://pith.science/api/pith-number/W2BZB4Z5FVWSFDOR6HQGQQURDY/events.json","paper":"https://pith.science/paper/W2BZB4Z5"},"agent_actions":{"view_html":"https://pith.science/pith/W2BZB4Z5FVWSFDOR6HQGQQURDY","download_json":"https://pith.science/pith/W2BZB4Z5FVWSFDOR6HQGQQURDY.json","view_paper":"https://pith.science/paper/W2BZB4Z5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2006.02350&json=true","fetch_graph":"https://pith.science/api/pith-number/W2BZB4Z5FVWSFDOR6HQGQQURDY/graph.json","fetch_events":"https://pith.science/api/pith-number/W2BZB4Z5FVWSFDOR6HQGQQURDY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W2BZB4Z5FVWSFDOR6HQGQQURDY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W2BZB4Z5FVWSFDOR6HQGQQURDY/action/storage_attestation","attest_author":"https://pith.science/pith/W2BZB4Z5FVWSFDOR6HQGQQURDY/action/author_attestation","sign_citation":"https://pith.science/pith/W2BZB4Z5FVWSFDOR6HQGQQURDY/action/citation_signature","submit_replication":"https://pith.science/pith/W2BZB4Z5FVWSFDOR6HQGQQURDY/action/replication_record"}},"created_at":"2026-07-05T01:46:55.368613+00:00","updated_at":"2026-07-05T01:46:55.368613+00:00"}