Pith Number

pith:GRCJEK6D

pith:2011:GRCJEK6DO5SI5B2HO2WOQXPMPF

2 verified not anchored not stored refs pending

Upper bound on the edge Folkman number $F_e(3,3,3;13)$

Nikolay Kolev

arxiv:1103.4489 v1 · 2011-03-23 · 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{GRCJEK6DO5SI5B2HO2WOQXPMPF}

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

✓ Author claim 2 verified · sign in to claim

Nikolay Kolev orcid verified · Nikolay Kolev orcid verified

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	2026-05-18T04:26:01.926529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3444922bc377648e874776ace85dec795b4edafe68ac2e198df3eb23e72eee29

Aliases

arxiv: 1103.4489 · arxiv_version: 1103.4489v1 · doi: 10.48550/arxiv.1103.4489 · pith_short_12: GRCJEK6DO5SI · pith_short_16: GRCJEK6DO5SI5B2H · pith_short_8: GRCJEK6D

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/GRCJEK6DO5SI5B2HO2WOQXPMPF \
  | 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: 3444922bc377648e874776ace85dec795b4edafe68ac2e198df3eb23e72eee29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289218d3eb61bc3387de12e32532c247255478bc9b5ad5cfe03b147e0a80ddd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-23T10:54:29Z",
    "title_canon_sha256": "890f92040e16f55fe8f351c86c8251dfd7be0b2fe1f8c2856c121b2f4b1e7b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4489",
    "kind": "arxiv",
    "version": 1
  }
}