Pith Number

pith:FJVG4O45

pith:2011:FJVG4O45PSFXYDM5EQ7MXKZUFC

not attested not anchored not stored refs pending

A Space Efficient Algorithm for the Calculation of the Digit Distribution in the Kolakoski Sequence

Johan Nilsson

arxiv:1110.4228 v2 · 2011-10-19 · 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{FJVG4O45PSFXYDM5EQ7MXKZUFC}

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	2026-05-18T04:00:28.265432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a6a6e3b9d7c8b7c0d9d243ecbab3428b82146fc9180a3ebf138709bd54c63d9

Aliases

arxiv: 1110.4228 · arxiv_version: 1110.4228v2 · doi: 10.48550/arxiv.1110.4228 · pith_short_12: FJVG4O45PSFX · pith_short_16: FJVG4O45PSFXYDM5 · pith_short_8: FJVG4O45

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/FJVG4O45PSFXYDM5EQ7MXKZUFC \
  | 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: 2a6a6e3b9d7c8b7c0d9d243ecbab3428b82146fc9180a3ebf138709bd54c63d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9d546e212ab6090d8c24077b9e0481e9a8bfa275c5fb582c09ab6570c0b33d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-19T09:51:14Z",
    "title_canon_sha256": "eccee1c4d400b6518aa5701520eaa33f5b3d55cdd56dbf2d4df9b85d9161dd74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4228",
    "kind": "arxiv",
    "version": 2
  }
}