Pith Number

pith:GZ6NCVV6

pith:2013:GZ6NCVV64W5ESUIQMJC4IKBRD6

not attested not anchored not stored refs pending

Solving the Tower of Hanoi with Random Moves

Max A. Alekseyev, Toby Berger

arxiv:1304.3780 v3 · 2013-04-13 · math.CO · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZ6NCVV64W5ESUIQMJC4IKBRD6}

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	2026-05-18T00:28:32.829640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367cd156bee5ba4951106245c428311f8d9393d4c75e69c12e22f1d905eeaa98

Aliases

arxiv: 1304.3780 · arxiv_version: 1304.3780v3 · doi: 10.48550/arxiv.1304.3780 · pith_short_12: GZ6NCVV64W5E · pith_short_16: GZ6NCVV64W5ESUIQ · pith_short_8: GZ6NCVV6

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/GZ6NCVV64W5ESUIQMJC4IKBRD6 \
  | 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: 367cd156bee5ba4951106245c428311f8d9393d4c75e69c12e22f1d905eeaa98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696912b34820c2bb0dd11021aa812c7835fa2cafc3c4d452e494d37b75433da0",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-13T05:44:03Z",
    "title_canon_sha256": "611da2aeb54c2ced3eb3fdd342d723468aa4328b57afeb39bcd0f5ffe646555e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3780",
    "kind": "arxiv",
    "version": 3
  }
}