Pith Number

pith:GF4X7CQQ

pith:2015:GF4X7CQQHKIW62OZIRSYDJSMGV

not attested not anchored not stored refs pending

Rational digit systems over finite fields and Christol's Theorem

J\"org M. Thuswaldner, Klaus Scheicher, Manuel Joseph C. Loquias, Mohamed Mkaouar

arxiv:1512.07824 v2 · 2015-12-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GF4X7CQQHKIW62OZIRSYDJSMGV}

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	2026-05-18T01:03:20.008208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31797f8a103a916f69d9446581a64c357211eb27c99c570659fb749ac3a2a338

Aliases

arxiv: 1512.07824 · arxiv_version: 1512.07824v2 · doi: 10.48550/arxiv.1512.07824 · pith_short_12: GF4X7CQQHKIW · pith_short_16: GF4X7CQQHKIW62OZ · pith_short_8: GF4X7CQQ

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/GF4X7CQQHKIW62OZIRSYDJSMGV \
  | 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: 31797f8a103a916f69d9446581a64c357211eb27c99c570659fb749ac3a2a338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55226daad73f6304c46d05cad816a8718d71033b3a2f9d9a75001ac80f2642e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-24T14:30:59Z",
    "title_canon_sha256": "a195bf6225f1ce0b860ce206517cbb0854a3d5e253484458f30210d466eccccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07824",
    "kind": "arxiv",
    "version": 2
  }
}