Pith Number

pith:HZHEVGGL

pith:2011:HZHEVGGL45OSDZJS7NN3FQL5FL

not attested not anchored not stored refs pending

Non-three-colorable common graphs exist

Alexander Razborov, Daniel Kral, Hamed Hatami, Jan Hladky, Serguei Norine

arxiv:1105.0307 v1 · 2011-05-02 · 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{HZHEVGGL45OSDZJS7NN3FQL5FL}

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	2026-05-18T00:39:18.784578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4e4a98cbe75d21e532fb5bb2c17d2acd3a1f612057fa30ba21902fe4db5bf5

Aliases

arxiv: 1105.0307 · arxiv_version: 1105.0307v1 · doi: 10.48550/arxiv.1105.0307 · pith_short_12: HZHEVGGL45OS · pith_short_16: HZHEVGGL45OSDZJS · pith_short_8: HZHEVGGL

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/HZHEVGGL45OSDZJS7NN3FQL5FL \
  | 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: 3e4e4a98cbe75d21e532fb5bb2c17d2acd3a1f612057fa30ba21902fe4db5bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69dc0a704a316f23a7eb669be89904c58221a718b5f3acb1b5ce78e722f0b914",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-02T12:19:21Z",
    "title_canon_sha256": "5bfcb4797d1fdcd81f858aa15a3b7ae2f0c58710092e2b3fc14445b225a23117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0307",
    "kind": "arxiv",
    "version": 1
  }
}