Pith Number

pith:LQJBGCPU

pith:2008:LQJBGCPUAZXC7MPUZ4VCJBYGGV

not attested not anchored not stored refs pending

How to eat 4/9 of a pizza

Kolja Knauer, Piotr Micek, Torsten Ueckerdt

arxiv:0812.2870 v4 · 2008-12-15 · cs.DM · 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{LQJBGCPUAZXC7MPUZ4VCJBYGGV}

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	2026-05-18T04:31:12.206213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c121309f4066e2fb1f4cf2a2487063576033ceaae0433e13c230f526e05dda7

Aliases

arxiv: 0812.2870 · arxiv_version: 0812.2870v4 · doi: 10.48550/arxiv.0812.2870 · pith_short_12: LQJBGCPUAZXC · pith_short_16: LQJBGCPUAZXC7MPU · pith_short_8: LQJBGCPU

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/LQJBGCPUAZXC7MPUZ4VCJBYGGV \
  | 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: 5c121309f4066e2fb1f4cf2a2487063576033ceaae0433e13c230f526e05dda7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce229bc2b90ce046fbd71933f8e0a35070b1d31d8183f7a93d76c7be2aecb41",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2008-12-15T17:35:35Z",
    "title_canon_sha256": "09c20f78c634e46253d54aae363e06d8a4f1b33b91012fa445004bde57dc3162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2870",
    "kind": "arxiv",
    "version": 4
  }
}