Pith Number

pith:LFXNMEUI

pith:2015:LFXNMEUIHNMUUJMV2A252AXUQU

not attested not anchored not stored refs pending

Condorcet Domains, Median Graphs and the Single Crossing Property

Arkadii Slinko, Clemens Puppe

arxiv:1507.08219 v2 · 2015-07-29 · math.CO · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFXNMEUIHNMUUJMV2A252AXUQU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:14:35.945473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

596ed612883b594a2595d035dd02f48500c35c18e4be15aeaae92d1928975325

Aliases

arxiv: 1507.08219 · arxiv_version: 1507.08219v2 · doi: 10.48550/arxiv.1507.08219 · pith_short_12: LFXNMEUIHNMU · pith_short_16: LFXNMEUIHNMUUJMV · pith_short_8: LFXNMEUI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LFXNMEUIHNMUUJMV2A252AXUQU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 596ed612883b594a2595d035dd02f48500c35c18e4be15aeaae92d1928975325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d17d9abe53b845003c8905c659fbd338dfa23571f1ad473a53e0a09f0f6e7c7",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-29T16:55:04Z",
    "title_canon_sha256": "4578eb09f386eff367b93fc678ae6d7f272146d2d06b151c7dcb47ce19358a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08219",
    "kind": "arxiv",
    "version": 2
  }
}