Pith Number

pith:Y4SABCAZ

pith:2025:Y4SABCAZFDNXGN5AVP6Y7V5HGR

not attested not anchored not stored refs pending

Mapping words to powers by morphisms

Aleksi Saarela

arxiv:2503.00960 v1 · 2025-03-02 · cs.FL · 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{Y4SABCAZFDNXGN5AVP6Y7V5HGR}

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.

Cited by

1 paper in Pith

Mapped Exponent and Asymptotic Critical Exponent of Words

Receipt and verification

First computed	2026-07-05T10:22:33.722159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c72400881928db7337a0abfd8fd7a7347ef0cc333d802770c5d1b255a0cc8376

Aliases

arxiv: 2503.00960 · arxiv_version: 2503.00960v1 · doi: 10.48550/arxiv.2503.00960 · pith_short_12: Y4SABCAZFDNX · pith_short_16: Y4SABCAZFDNXGN5A · pith_short_8: Y4SABCAZ

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/Y4SABCAZFDNXGN5AVP6Y7V5HGR \
  | 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: c72400881928db7337a0abfd8fd7a7347ef0cc333d802770c5d1b255a0cc8376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331e00cef3a655e891dca34271aa0ef6cc10c753985de582914c63ed8fdbb2d3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2025-03-02T16:58:38Z",
    "title_canon_sha256": "d6f53e11730a5288095df2ea185c54cac1904c90c201812d22fc0c5799b65c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.00960",
    "kind": "arxiv",
    "version": 1
  }
}