Pith Number

pith:BQ4XV5CW

pith:2018:BQ4XV5CWHN3MYPR45QRRSBZ5LE

not attested not anchored not stored refs pending

Multilabeled versions of Sperner's and Fan's lemmas and applications

Francis Edward Su, Fr\'ed\'eric Meunier

arxiv:1801.02044 v3 · 2018-01-06 · math.CO · cs.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQ4XV5CWHN3MYPR45QRRSBZ5LE}

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	2026-05-17T23:46:41.979056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c397af4563b76cc3e3cec2319073d590dfcfd1d0f16c45da2b75c2b27bda9ec

Aliases

arxiv: 1801.02044 · arxiv_version: 1801.02044v3 · doi: 10.48550/arxiv.1801.02044 · pith_short_12: BQ4XV5CWHN3M · pith_short_16: BQ4XV5CWHN3MYPR4 · pith_short_8: BQ4XV5CW

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/BQ4XV5CWHN3MYPR45QRRSBZ5LE \
  | 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: 0c397af4563b76cc3e3cec2319073d590dfcfd1d0f16c45da2b75c2b27bda9ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d4dee496b20fbd401a366217065e39160bf3b6920f3d9e01f37fe69c5d2e2f",
    "cross_cats_sorted": [
      "cs.GT",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-06T16:20:10Z",
    "title_canon_sha256": "018d467a5615efef299ebca99766b44ba0822b56994aba81d38adbbee72f231a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02044",
    "kind": "arxiv",
    "version": 3
  }
}