Pith Number

pith:JSNHYNXP

pith:2016:JSNHYNXP3XP3JCWQRR7ZGHJ74P

not attested not anchored not stored refs pending

Sperner's colorings and optimal partitioning of the simplex

Jan Vondrak, Maryam Mirzakhani

arxiv:1611.08339 v1 · 2016-11-25 · 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{JSNHYNXP3XP3JCWQRR7ZGHJ74P}

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	2026-05-18T00:56:39.363300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c9a7c36efdddfb48ad08c7f931d3fe3cd721c7785b38cc993c165f0357d9312

Aliases

arxiv: 1611.08339 · arxiv_version: 1611.08339v1 · doi: 10.48550/arxiv.1611.08339 · pith_short_12: JSNHYNXP3XP3 · pith_short_16: JSNHYNXP3XP3JCWQ · pith_short_8: JSNHYNXP

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/JSNHYNXP3XP3JCWQRR7ZGHJ74P \
  | 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: 4c9a7c36efdddfb48ad08c7f931d3fe3cd721c7785b38cc993c165f0357d9312

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37baa6869e8593f9a7b80715a5dcd3a5750e2617b6470f94d55bb223b2fa6041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-25T02:41:41Z",
    "title_canon_sha256": "63945b0f871d628ec01d379ec8a924bee33c253d1554babc6555c7803b25dba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08339",
    "kind": "arxiv",
    "version": 1
  }
}