Pith Number

pith:3T255ZWJ

pith:2025:3T255ZWJJ3IAGMRIZOTY6IYZCB

not attested not anchored not stored refs pending

The Carlitz module and a differential Ax-Lindemann-Weierstrass theorem for the Euler gamma function

Federico Pellarin, Lucia Di Vizio

arxiv:2508.21237 v2 · 2025-08-28 · math.NT · math.CV

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3T255ZWJJ3IAGMRIZOTY6IYZCB}

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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

Real geometric transcendence for the Gamma function

Receipt and verification

First computed	2026-06-12T01:09:12.768085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf5dee6c94ed0033228cba78f23191077e402f44dbe74b7316593ab588395f7

Aliases

arxiv: 2508.21237 · arxiv_version: 2508.21237v2 · doi: 10.48550/arxiv.2508.21237 · pith_short_12: 3T255ZWJJ3IA · pith_short_16: 3T255ZWJJ3IAGMRI · pith_short_8: 3T255ZWJ

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/3T255ZWJJ3IAGMRIZOTY6IYZCB \
  | 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: dcf5dee6c94ed0033228cba78f23191077e402f44dbe74b7316593ab588395f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a212a79650d3b6c8d992ab3b1ab29c31bd60d3006efee4cbc10f8c50eefe2cb",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-28T22:02:45Z",
    "title_canon_sha256": "bad2e996948a601ecef7ca111429713cb95a863a9889190a1634ef1cec13dd89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21237",
    "kind": "arxiv",
    "version": 2
  }
}