{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:O4JMKFZOUKA4K6JAC6DWE5TVZT","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":"f114f111b72d3262986cfe02045b5b74dc671dbd06de65e5da1407018ee5ada1","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-26T16:29:30Z","title_canon_sha256":"7baad0a4e18a3cacc165e53eebe8da223493d0f0576a65117fc372a53cbfa930"},"schema_version":"1.0","source":{"id":"1004.4567","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.4567","created_at":"2026-05-18T02:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1004.4567v2","created_at":"2026-05-18T02:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4567","created_at":"2026-05-18T02:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"O4JMKFZOUKA4","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"O4JMKFZOUKA4K6JA","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"O4JMKFZO","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:76e626eba0cdca9fb2a8eda9dea477665af7115287373d0e2957594bc349c854","target":"graph","created_at":"2026-05-18T02:33:33Z","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"},"paper":{"abstract_excerpt":"The multiverse/landscape paradigm that has emerged from eternal inflation and string theory, describes a large-scale multiverse populated by \"pocket universes\" which come in a huge variety of different types, including different dimensionalities. In order to make predictions in the multiverse, we need a probability measure. In $(3+1)d$ landscapes, the scale factor cutoff measure has been previously shown to have a number of attractive properties. Here we consider possible generalizations of this measure to a transdimensional multiverse. We find that a straightforward extension of scale factor ","authors_text":"Alexander Vilenkin, Delia Schwartz-Perlov","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-26T16:29:30Z","title":"Measures for a Transdimensional Multiverse"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4567","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":"sha256:549e85424c46033b70334cc53a62b95cb43375327714cb23b5e761cff634c840","target":"record","created_at":"2026-05-18T02:33:33Z","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":"f114f111b72d3262986cfe02045b5b74dc671dbd06de65e5da1407018ee5ada1","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-26T16:29:30Z","title_canon_sha256":"7baad0a4e18a3cacc165e53eebe8da223493d0f0576a65117fc372a53cbfa930"},"schema_version":"1.0","source":{"id":"1004.4567","kind":"arxiv","version":2}},"canonical_sha256":"7712c5172ea281c579201787627675ccc3b032562e93f89f3555e413315e5998","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7712c5172ea281c579201787627675ccc3b032562e93f89f3555e413315e5998","first_computed_at":"2026-05-18T02:33:33.479422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:33.479422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zzuIIUNJ6P1mmT3V9mA5oVinAo9ptZfiTtMqJ9Hbxounw2/zCAgw3onl12LnWI8vxc4HBY1LUt41oyCrPX1KAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:33.480005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.4567","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:549e85424c46033b70334cc53a62b95cb43375327714cb23b5e761cff634c840","sha256:76e626eba0cdca9fb2a8eda9dea477665af7115287373d0e2957594bc349c854"],"state_sha256":"3214bec55dcdb34831a110bbc096510ea934de95dc34e22946f923358141399a"}