Pith Number

pith:G2HFUD3S

pith:2019:G2HFUD3SL6XN2QBJ4EOHM3WR35

not attested not anchored not stored refs pending

Proof of the Brown-Erd\H{o}s-S\'os conjecture in groups

Benny Sudakov, Mykhaylo Tyomkyn, Rajko Nenadov

arxiv:1902.07614 v2 · 2019-02-20 · 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{G2HFUD3SL6XN2QBJ4EOHM3WR35}

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	2026-05-17T23:47:01.765000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

368e5a0f725faedd4029e11c766ed1df56f577ba6ba439dd933adcbdedf551ef

Aliases

arxiv: 1902.07614 · arxiv_version: 1902.07614v2 · doi: 10.48550/arxiv.1902.07614 · pith_short_12: G2HFUD3SL6XN · pith_short_16: G2HFUD3SL6XN2QBJ · pith_short_8: G2HFUD3S

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/G2HFUD3SL6XN2QBJ4EOHM3WR35 \
  | 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: 368e5a0f725faedd4029e11c766ed1df56f577ba6ba439dd933adcbdedf551ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34715ee8b07a802e504b24d6b5d9ad4daec9af8cd9b79b077d60241e1fef30b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-20T16:02:05Z",
    "title_canon_sha256": "1ef869ea1ce97cf6ba0caa6d32d3e152612091649738f798a2da8605f48ba898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07614",
    "kind": "arxiv",
    "version": 2
  }
}