Pith Number

pith:TJO6VA6Z

pith:2015:TJO6VA6ZO7KW24XJOYJJ5YMY6Z

not attested not anchored not stored refs pending

A new lower bound for the Towers of Hanoi problem

Codrut Grosu

arxiv:1508.04272 v1 · 2015-08-18 · 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{TJO6VA6ZO7KW24XJOYJJ5YMY6Z}

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	2026-05-18T01:35:05.766739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a5dea83d977d56d72e976129ee198f641238da827ebeb7b8ab7fa05fb56e44d

Aliases

arxiv: 1508.04272 · arxiv_version: 1508.04272v1 · doi: 10.48550/arxiv.1508.04272 · pith_short_12: TJO6VA6ZO7KW · pith_short_16: TJO6VA6ZO7KW24XJ · pith_short_8: TJO6VA6Z

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/TJO6VA6ZO7KW24XJOYJJ5YMY6Z \
  | 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: 9a5dea83d977d56d72e976129ee198f641238da827ebeb7b8ab7fa05fb56e44d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e8aa72f3e46955636c133554462a894267847c06b77148846d2801ccc3fa70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-18T10:34:30Z",
    "title_canon_sha256": "62c72b9a21e6ca5e681d8374df72b43ea8c14ef77a8cfdc975cb297e494c4a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04272",
    "kind": "arxiv",
    "version": 1
  }
}