{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:XXHEUIQ7REV7WTO7I4NUQ3455U","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":"d5d63cfa91dca467e68887cf089921d52ad1bcd596bc2e13c731be2bc5cf8eb6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-30T16:39:29Z","title_canon_sha256":"55f4b9f29b6f5ee8c5a4ce614e551e15bd837455f5479d4f3b18872e8f1bdfdd"},"schema_version":"1.0","source":{"id":"2311.18693","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.18693","created_at":"2026-07-05T07:18:45Z"},{"alias_kind":"arxiv_version","alias_value":"2311.18693v1","created_at":"2026-07-05T07:18:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.18693","created_at":"2026-07-05T07:18:45Z"},{"alias_kind":"pith_short_12","alias_value":"XXHEUIQ7REV7","created_at":"2026-07-05T07:18:45Z"},{"alias_kind":"pith_short_16","alias_value":"XXHEUIQ7REV7WTO7","created_at":"2026-07-05T07:18:45Z"},{"alias_kind":"pith_short_8","alias_value":"XXHEUIQ7","created_at":"2026-07-05T07:18:45Z"}],"graph_snapshots":[{"event_id":"sha256:46e80a17733291867e3e15f7ce8acd44c18068a384f79f28e8a3f042e094e729","target":"graph","created_at":"2026-07-05T07:18:45Z","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/2311.18693/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Geodesics in moduli spaces of string vacua are important objects in string phenomenology. In this paper, we highlight a simple condition that connects brane tensions, including particle masses, with geodesics in moduli spaces. Namely, when a brane's scalar charge-to-tension ratio vector $-\\nabla \\log T$ has a fixed length, then the gradient flow induced by the logarithm of the brane's tension is a geodesic. We show that this condition is satisfied in many examples in the string landscape.","authors_text":"Ben Heidenreich, Muldrow Etheredge","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-30T16:39:29Z","title":"Geodesic Gradient Flows in Moduli Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.18693","kind":"arxiv","version":1},"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:bc29710c36ecd4bdb2ebd462754cd5e3ec77a76fdfabb18f6d465bf11e4661d3","target":"record","created_at":"2026-07-05T07:18:45Z","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":"d5d63cfa91dca467e68887cf089921d52ad1bcd596bc2e13c731be2bc5cf8eb6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-30T16:39:29Z","title_canon_sha256":"55f4b9f29b6f5ee8c5a4ce614e551e15bd837455f5479d4f3b18872e8f1bdfdd"},"schema_version":"1.0","source":{"id":"2311.18693","kind":"arxiv","version":1}},"canonical_sha256":"bdce4a221f892bfb4ddf471b486f9ded3f2164179499d561b4ae0ffcc6ec05a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdce4a221f892bfb4ddf471b486f9ded3f2164179499d561b4ae0ffcc6ec05a0","first_computed_at":"2026-07-05T07:18:45.521186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:18:45.521186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DUzEG/tod2HJ4j1ITNq4ydRsChUTU/Lk5KE1zHVEYzQ/bwNTEz9XG+U732U6WGKTHaOfPKIReV66v2jiral/Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:18:45.521685Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.18693","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc29710c36ecd4bdb2ebd462754cd5e3ec77a76fdfabb18f6d465bf11e4661d3","sha256:46e80a17733291867e3e15f7ce8acd44c18068a384f79f28e8a3f042e094e729"],"state_sha256":"59447ac95d58df5426056437b4db8bca4dafe5b48df7e2cc67a634a9eae0c43f"}