Pith Number

pith:4IKYFUYE

pith:2014:4IKYFUYECDFCTZJL6KOS5JKZBA

not attested not anchored not stored refs pending

The word problem in Hanoi Towers groups

Ievgen Bondarenko

arxiv:1409.0119 v1 · 2014-08-30 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IKYFUYECDFCTZJL6KOS5JKZBA}

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	2026-05-18T02:43:53.306291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21582d30410ca29e52bf29d2ea5590811bcb3218c37b53edfa4181f79129f8e

Aliases

arxiv: 1409.0119 · arxiv_version: 1409.0119v1 · doi: 10.48550/arxiv.1409.0119 · pith_short_12: 4IKYFUYECDFC · pith_short_16: 4IKYFUYECDFCTZJL · pith_short_8: 4IKYFUYE

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/4IKYFUYECDFCTZJL6KOS5JKZBA \
  | 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: e21582d30410ca29e52bf29d2ea5590811bcb3218c37b53edfa4181f79129f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1becc6949544253326c766d6e04bc1460569f806c860dbc52801d30e1361a0ff",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-30T14:57:41Z",
    "title_canon_sha256": "fd04e9c54949779e9be3c4e6112d22dda652f3285a56540141f336ad7716e080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0119",
    "kind": "arxiv",
    "version": 1
  }
}