{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:JVP7O5JAV7BTBT2CNBRDISFR5K","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":"1e4b03b3fcac5690fedd537e7c32943b6dfc59e85e2447e17e9165f22b8dce1c","cross_cats_sorted":["econ.TH","math.CO"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.MA","submitted_at":"2022-01-24T13:52:38Z","title_canon_sha256":"ce67edb5fd50164fab8e5eefcf976865a0cb8ff598a2220eb7e5569600e7c5c0"},"schema_version":"1.0","source":{"id":"2201.09691","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.09691","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"arxiv_version","alias_value":"2201.09691v2","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.09691","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"pith_short_12","alias_value":"JVP7O5JAV7BT","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"pith_short_16","alias_value":"JVP7O5JAV7BTBT2C","created_at":"2026-06-11T01:10:22Z"},{"alias_kind":"pith_short_8","alias_value":"JVP7O5JA","created_at":"2026-06-11T01:10:22Z"}],"graph_snapshots":[{"event_id":"sha256:1cbffec4e0aca218512313aaa5886291f30d039652824249d7563465d648ed3c","target":"graph","created_at":"2026-06-11T01:10:22Z","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/2201.09691/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A preference profile (i.e., a collection of linear preference orders of the voters over a set of alternatives) with $m$ alternatives and $n$ voters is $d$-Manhattan (resp. $d$-Euclidean) if both the alternatives and the voters can be placed into a $d$-dimensional space such that between each pair of alternatives, every voter prefers the one which has a shorter Manhattan (resp. Euclidean) distance to the voter. We study how $d$-Manhattan preference profiles depend on the values $m$ and $n$. First, we provide explicit constructions to show that each preference profile with $m$ alternatives and $","authors_text":"Ana\\\"is Villedieu, Jiehua Chen, Markus Wallinger, Martin N\\\"ollenburg, Sofia Simola","cross_cats":["econ.TH","math.CO"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.MA","submitted_at":"2022-01-24T13:52:38Z","title":"Multidimensional Manhattan Preferences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.09691","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":"sha256:239ac67b84d79d095e4e3aa2f4d78c9716e3673cec1f8da8984d11e31eb125ba","target":"record","created_at":"2026-06-11T01:10:22Z","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":"1e4b03b3fcac5690fedd537e7c32943b6dfc59e85e2447e17e9165f22b8dce1c","cross_cats_sorted":["econ.TH","math.CO"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.MA","submitted_at":"2022-01-24T13:52:38Z","title_canon_sha256":"ce67edb5fd50164fab8e5eefcf976865a0cb8ff598a2220eb7e5569600e7c5c0"},"schema_version":"1.0","source":{"id":"2201.09691","kind":"arxiv","version":2}},"canonical_sha256":"4d5ff77520afc330cf4268623448b1ea90572d4b248bf14c285cbb694bd5c4dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d5ff77520afc330cf4268623448b1ea90572d4b248bf14c285cbb694bd5c4dd","first_computed_at":"2026-06-11T01:10:22.682478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T01:10:22.682478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8u5+uZIVIHzpAM4NrCYWX6Pmku6XnyUHKLURRgfcscFPgAE5eRYf5H422O90ArmT1i02dqFoEDd6MMJwvOkIDQ==","signature_status":"signed_v1","signed_at":"2026-06-11T01:10:22.683397Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.09691","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:239ac67b84d79d095e4e3aa2f4d78c9716e3673cec1f8da8984d11e31eb125ba","sha256:1cbffec4e0aca218512313aaa5886291f30d039652824249d7563465d648ed3c"],"state_sha256":"593ffc9121387a7190aea71a87d6ce2ef1894460a0d5b9958a20e0418ec04a1c"}