Pith Number

pith:KGCCGFH2

pith:2025:KGCCGFH2XYXJBNMBQXIPK7W62Z

not attested not anchored not stored refs pending

Mapped Exponent and Asymptotic Critical Exponent of Words

Aleksi Saarela, Aleksi Vanhatalo, Eva Foster

arxiv:2506.04091 v2 · 2025-06-04 · math.CO · 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{KGCCGFH2XYXJBNMBQXIPK7W62Z}

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	2026-07-05T11:16:10.242402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51842314fabe2e90b58185d0f57eded65e47a971432484cfa6c05f4a371d3c25

Aliases

arxiv: 2506.04091 · arxiv_version: 2506.04091v2 · doi: 10.48550/arxiv.2506.04091 · pith_short_12: KGCCGFH2XYXJ · pith_short_16: KGCCGFH2XYXJBNMB · pith_short_8: KGCCGFH2

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/KGCCGFH2XYXJBNMBQXIPK7W62Z \
  | 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: 51842314fabe2e90b58185d0f57eded65e47a971432484cfa6c05f4a371d3c25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c843f511a6e06d1100b641808eb564c219af07995cd36149e301b2b306f5f12",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-04T15:49:21Z",
    "title_canon_sha256": "7bb6900c7adcac43b228ccee13ebe16a7d443db4ec4b256c4f1fe029bfdf8a8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04091",
    "kind": "arxiv",
    "version": 2
  }
}