Pith Number

pith:YI3HZZJ3

pith:2012:YI3HZZJ3JBW2TK6HHRHPMLJM2G

not attested not anchored not stored refs pending

Short proofs of some extremal results

Benny Sudakov, David Conlon, Jacob Fox

arxiv:1212.1300 v2 · 2012-12-06 · 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{YI3HZZJ3JBW2TK6HHRHPMLJM2G}

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	2026-05-18T03:15:18.549834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2367ce53b486da9abc73c4ef62d2cd1992d0c0f4b5a17b2e0aa63a478448339

Aliases

arxiv: 1212.1300 · arxiv_version: 1212.1300v2 · doi: 10.48550/arxiv.1212.1300 · pith_short_12: YI3HZZJ3JBW2 · pith_short_16: YI3HZZJ3JBW2TK6H · pith_short_8: YI3HZZJ3

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/YI3HZZJ3JBW2TK6HHRHPMLJM2G \
  | 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: c2367ce53b486da9abc73c4ef62d2cd1992d0c0f4b5a17b2e0aa63a478448339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1158013ead033e7e1f880f1d8504edaa2c6068714c21258514f2267ab91513",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-06T11:56:01Z",
    "title_canon_sha256": "c712578fb13f892fa6a2db49846835b1a3cc94c6e990b8ba97d12bceae530320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1300",
    "kind": "arxiv",
    "version": 2
  }
}