Pith Number

pith:DWBKWL23

pith:2014:DWBKWL23M4PSI2QYB46AXOZCOI

not attested not anchored not stored refs pending

Game Brush Number

Pawel Pralat, William B. Kinnersley

arxiv:1412.2034 v2 · 2014-12-05 · 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{DWBKWL23M4PSI2QYB46AXOZCOI}

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	2026-05-18T01:21:49.290306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d82ab2f5b671f246a180f3c0bbb22720d00120bfffd98b8592027e5961eb375

Aliases

arxiv: 1412.2034 · arxiv_version: 1412.2034v2 · doi: 10.48550/arxiv.1412.2034 · pith_short_12: DWBKWL23M4PS · pith_short_16: DWBKWL23M4PSI2QY · pith_short_8: DWBKWL23

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/DWBKWL23M4PSI2QYB46AXOZCOI \
  | 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: 1d82ab2f5b671f246a180f3c0bbb22720d00120bfffd98b8592027e5961eb375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e474af3b600a101b1083b0b7f6b0a150b0a981467b29a58496397dca48277c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-05T15:41:24Z",
    "title_canon_sha256": "6ffc7781abec903748edb1ae9ca4c94d824e2c9dbfc9d88fa385dc708a662a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2034",
    "kind": "arxiv",
    "version": 2
  }
}