Pith Number

pith:KZCJ5MAJ

pith:2011:KZCJ5MAJMBRVMPWOYMT7FBHNVD

not attested not anchored not stored refs pending

Twin Towers of Hanoi

Zoran Sunic

arxiv:1108.4494 v1 · 2011-08-23 · math.CO · cs.DM · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZCJ5MAJMBRVMPWOYMT7FBHNVD}

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	2026-05-18T04:14:54.449209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56449eb0096063563ecec327f284eda8fd295dad0d073f83a1047f74a5dfcd86

Aliases

arxiv: 1108.4494 · arxiv_version: 1108.4494v1 · doi: 10.48550/arxiv.1108.4494 · pith_short_12: KZCJ5MAJMBRV · pith_short_16: KZCJ5MAJMBRVMPWO · pith_short_8: KZCJ5MAJ

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/KZCJ5MAJMBRVMPWOYMT7FBHNVD \
  | 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: 56449eb0096063563ecec327f284eda8fd295dad0d073f83a1047f74a5dfcd86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b72b6afd8e12f5412270c75ae2e4e661dbb23184c79b28ebf15777704fe7abd9",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-23T04:53:51Z",
    "title_canon_sha256": "a04df386e11cd62eddb963e5cd7ece809605ac989206657a9ded3a5c02a8efaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4494",
    "kind": "arxiv",
    "version": 1
  }
}