Pith Number

pith:G2NQ4675

pith:2014:G2NQ4675XFVN2MJWZITM745MM3

not attested not anchored not stored refs pending

The Game Saturation Number of a Graph

Benjamin Reiniger, Douglas B. West, James M. Carraher, William B. Kinnersley

arxiv:1405.2834 v2 · 2014-05-12 · 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{G2NQ4675XFVN2MJWZITM745MM3}

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	2026-05-18T02:49:54.493680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

369b0e7bfdb96add3136ca26cff3ac66e632e7e14be23848e22569b7df67f74f

Aliases

arxiv: 1405.2834 · arxiv_version: 1405.2834v2 · doi: 10.48550/arxiv.1405.2834 · pith_short_12: G2NQ4675XFVN · pith_short_16: G2NQ4675XFVN2MJW · pith_short_8: G2NQ4675

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/G2NQ4675XFVN2MJWZITM745MM3 \
  | 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: 369b0e7bfdb96add3136ca26cff3ac66e632e7e14be23848e22569b7df67f74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f79435bcace9dce6da869b8ed64897e1f8aa353d5143ee7c76e914c575c5829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-12T16:55:16Z",
    "title_canon_sha256": "b56d4aa2fb81cb5f1fa9b4798eb7b497f3c1acac9398f4bff4cec679c9d91038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2834",
    "kind": "arxiv",
    "version": 2
  }
}