Pith Number

pith:VAC2FQ5O

pith:2010:VAC2FQ5O42VZSGMEYY4TDDQGZ7

not attested not anchored not stored refs pending

An Explicit Solution to the Chessboard Pebbling Problem

Charles Knessl, Qiang Zhen

arxiv:1009.5731 v1 · 2010-09-29 · math.CO · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAC2FQ5O42VZSGMEYY4TDDQGZ7}

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	2026-05-18T04:40:09.063909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a805a2c3aee6ab991984c639318e06cfe82de0e3035ac586f86651e47b46f58b

Aliases

arxiv: 1009.5731 · arxiv_version: 1009.5731v1 · doi: 10.48550/arxiv.1009.5731 · pith_short_12: VAC2FQ5O42VZ · pith_short_16: VAC2FQ5O42VZSGME · pith_short_8: VAC2FQ5O

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/VAC2FQ5O42VZSGMEYY4TDDQGZ7 \
  | 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: a805a2c3aee6ab991984c639318e06cfe82de0e3035ac586f86651e47b46f58b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4231c84a146f22026e3a67049ac398d317c851390ba971518a704307b9e003e9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-29T01:36:20Z",
    "title_canon_sha256": "4de581ab9232c86ec19a108032ef5815b8441b37922a73fbda6e7b0e7059f9ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5731",
    "kind": "arxiv",
    "version": 1
  }
}