Pith Number

pith:EAOUQ63M

pith:2014:EAOUQ63MDBIXWTOIZMEJYLE5SH

not attested not anchored not stored refs pending

A random version of Sperner's theorem

Andrew Treglown, J\'ozsef Balogh, Richard Mycroft

arxiv:1404.5079 v2 · 2014-04-20 · 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{EAOUQ63MDBIXWTOIZMEJYLE5SH}

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	2026-05-18T02:41:10.088596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

201d487b6c18517b4dc8cb089c2c9d91f0b86a37babb6b24e2ecb4b6ef3f4aa3

Aliases

arxiv: 1404.5079 · arxiv_version: 1404.5079v2 · doi: 10.48550/arxiv.1404.5079 · pith_short_12: EAOUQ63MDBIX · pith_short_16: EAOUQ63MDBIXWTOI · pith_short_8: EAOUQ63M

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/EAOUQ63MDBIXWTOIZMEJYLE5SH \
  | 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: 201d487b6c18517b4dc8cb089c2c9d91f0b86a37babb6b24e2ecb4b6ef3f4aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f774d9154f137328aa68597a7f996885d57895982802c8052dcbf816a42119bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-20T23:10:59Z",
    "title_canon_sha256": "f8d535da0a3cb8722df606df18f1f16cb1f6382c8bd1e84b6e90da2f6e9f5913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5079",
    "kind": "arxiv",
    "version": 2
  }
}