Pith Number

pith:4A6IHKMC

pith:2017:4A6IHKMC6DAO2H5BQJTTNE75ZK

not attested not anchored not stored refs pending

Fair division and generalizations of Sperner- and KKM-type results

David Stoner, Florian Frick, Ling Hei Tsang, Maxwell Polevy, Megumi Asada, Vivek Pisharody, Zoe Wellner

arxiv:1701.04955 v1 · 2017-01-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4A6IHKMC6DAO2H5BQJTTNE75ZK}

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	2026-05-18T00:20:56.777778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03c83a982f0c0ed1fa182673693fdcabe86c15ff43e89e444119102f71f7aaf

Aliases

arxiv: 1701.04955 · arxiv_version: 1701.04955v1 · doi: 10.48550/arxiv.1701.04955 · pith_short_12: 4A6IHKMC6DAO · pith_short_16: 4A6IHKMC6DAO2H5B · pith_short_8: 4A6IHKMC

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/4A6IHKMC6DAO2H5BQJTTNE75ZK \
  | 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: e03c83a982f0c0ed1fa182673693fdcabe86c15ff43e89e444119102f71f7aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c03aeebc9b3055d3caa10a2c6f2edd344bcba2c9762da51bd96b2cc5a2839b7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-18T05:44:10Z",
    "title_canon_sha256": "7d901dcb275b72f6232e494025727f1e79178f4f1fc0693e36ca5b4b18f37ea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04955",
    "kind": "arxiv",
    "version": 1
  }
}