Pith Number

pith:45QZ6OAZ

pith:2005:45QZ6OAZG4HY2OS7PNOPJO4KJG

not attested not anchored not stored refs pending

On the entropy of LEGO

Bergfinnur Durhuus, Soren Eilers

arxiv:math/0504039 v2 · 2005-04-02 · 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{45QZ6OAZG4HY2OS7PNOPJO4KJG}

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.

Cited by

1 paper in Pith

Counting LEGO configurations

Receipt and verification

First computed	2026-05-18T04:40:54.991182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7619f3819370f8d3a5f7b5cf4bb8a499e92375d214aad835e2d3b29e715b71a

Aliases

arxiv: math/0504039 · arxiv_version: math/0504039v2 · doi: 10.48550/arxiv.math/0504039 · pith_short_12: 45QZ6OAZG4HY · pith_short_16: 45QZ6OAZG4HY2OS7 · pith_short_8: 45QZ6OAZ

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/45QZ6OAZG4HY2OS7PNOPJO4KJG \
  | 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: e7619f3819370f8d3a5f7b5cf4bb8a499e92375d214aad835e2d3b29e715b71a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204e181ba876977b529305b9745f8083820e06b92d91167931e7362bfbae2dc2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-04-02T23:25:19Z",
    "title_canon_sha256": "6a3a1078fee44002ab501589e980c301b956e9e1d860788c7b55a095033a1bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504039",
    "kind": "arxiv",
    "version": 2
  }
}