Pith Number

pith:MGBDXBYE

pith:2009:MGBDXBYEHQQ7C3D5KDQMJCF3BW

not attested not anchored not stored refs pending

On the maximal number of cubic subwords in a string

Jakub Radoszewski, Marcin Kubica, Tomasz Walen, Wojciech Rytter

arxiv:0911.1370 v1 · 2009-11-06 · cs.FL · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGBDXBYEHQQ7C3D5KDQMJCF3BW}

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	2026-05-18T02:10:58.491189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61823b87043c21f16c7d50e0c488bb0d83a2b1fd649ee8a9b417fa2d99ded20b

Aliases

arxiv: 0911.1370 · arxiv_version: 0911.1370v1 · doi: 10.48550/arxiv.0911.1370 · pith_short_12: MGBDXBYEHQQ7 · pith_short_16: MGBDXBYEHQQ7C3D5 · pith_short_8: MGBDXBYE

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/MGBDXBYEHQQ7C3D5KDQMJCF3BW \
  | 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: 61823b87043c21f16c7d50e0c488bb0d83a2b1fd649ee8a9b417fa2d99ded20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c448ce289c44440985e7bb73e846f7dfb7930273f6afa8fd677d34718aae16c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2009-11-06T23:05:30Z",
    "title_canon_sha256": "464caca55bfba325037ab19a467b08f2f35ed0835d685557db33ecdfb050c247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1370",
    "kind": "arxiv",
    "version": 1
  }
}