{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QHQ7VGBDIKOB4XAMAAZMRQSHWA","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":"7a1146608130fdc05a36faecccb77069b4f9d7d539ca318cb2de9ca48fd920b8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T22:57:07Z","title_canon_sha256":"3c7cdf49fadc7fad61a455eb00fa396e838da0a9be1df12522792f5c9ff4e1a2"},"schema_version":"1.0","source":{"id":"2407.02705","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.02705","created_at":"2026-07-05T09:56:21Z"},{"alias_kind":"arxiv_version","alias_value":"2407.02705v3","created_at":"2026-07-05T09:56:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.02705","created_at":"2026-07-05T09:56:21Z"},{"alias_kind":"pith_short_12","alias_value":"QHQ7VGBDIKOB","created_at":"2026-07-05T09:56:21Z"},{"alias_kind":"pith_short_16","alias_value":"QHQ7VGBDIKOB4XAM","created_at":"2026-07-05T09:56:21Z"},{"alias_kind":"pith_short_8","alias_value":"QHQ7VGBD","created_at":"2026-07-05T09:56:21Z"}],"graph_snapshots":[{"event_id":"sha256:73913f5fb224980e9f42ebb241487ea88274226eba6c3b373d42e58faeb81927","target":"graph","created_at":"2026-07-05T09:56:21Z","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/2407.02705/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this note, we propose a generalized notion of distance between vacua in the theory of a scalar field $\\phi$ with scalar potential $V(\\phi)$ coupled to gravity. We propose the normalized tension of domain wall connecting different field values, with a varying normalization relative to a local energy scale, as the distance. We show this definition reproduces the usual moduli space distance for zero potential, as well as the $d\\propto |\\log \\Lambda|$ behavior with the vacuum energy $\\Lambda$ in the AdS case, previously proposed in the literature. In the case of large AdS we also obtain the exp","authors_text":"Amineh Mohseni, Cumrun Vafa, Irene Valenzuela, Miguel Montero","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T22:57:07Z","title":"On Measuring Distances in the Quantum Gravity Landscape"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02705","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":"sha256:59ee22514fc67549e162a63b5c719d4f5c5be4d16c8ea63555fdce867db7ad30","target":"record","created_at":"2026-07-05T09:56:21Z","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":"7a1146608130fdc05a36faecccb77069b4f9d7d539ca318cb2de9ca48fd920b8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-02T22:57:07Z","title_canon_sha256":"3c7cdf49fadc7fad61a455eb00fa396e838da0a9be1df12522792f5c9ff4e1a2"},"schema_version":"1.0","source":{"id":"2407.02705","kind":"arxiv","version":3}},"canonical_sha256":"81e1fa9823429c1e5c0c0032c8c247b01ee8df6b7c88cbbb27da545b3a5396dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81e1fa9823429c1e5c0c0032c8c247b01ee8df6b7c88cbbb27da545b3a5396dd","first_computed_at":"2026-07-05T09:56:21.628245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:56:21.628245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CIj3M9LgyzaZ2v5cr37vz8UMofWUTa57ODZU9TpsS45gpvlrPy2Jx0V9PnHpaLYXhQlLQJNd3x9PsQwTRmZECA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:56:21.628711Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.02705","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59ee22514fc67549e162a63b5c719d4f5c5be4d16c8ea63555fdce867db7ad30","sha256:73913f5fb224980e9f42ebb241487ea88274226eba6c3b373d42e58faeb81927"],"state_sha256":"32d3c19296fd129969065b4a5770874c62f593bbfc499c43adfb2e51e9bdfd2a"}