Pith Number

pith:JYILBIVX

pith:2012:JYILBIVXRWQBCJ2AEAGIKWETEO

not attested not anchored not stored refs pending

The Spiegelungssatz for the Carlitz module

Bruno Angl\`es, Lenny Taelman

arxiv:1212.3115 v1 · 2012-12-13 · 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{JYILBIVXRWQBCJ2AEAGIKWETEO}

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	2026-05-18T03:38:33.723801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e10b0a2b78da0112740200c85589323b348c13dd0f7e115d75fdb1ce4362fe3

Aliases

arxiv: 1212.3115 · arxiv_version: 1212.3115v1 · doi: 10.48550/arxiv.1212.3115 · pith_short_12: JYILBIVXRWQB · pith_short_16: JYILBIVXRWQBCJ2A · pith_short_8: JYILBIVX

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/JYILBIVXRWQBCJ2AEAGIKWETEO \
  | 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: 4e10b0a2b78da0112740200c85589323b348c13dd0f7e115d75fdb1ce4362fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6436f14dbeeceb179e68e9d4dfc5895c8ca18be32a576e3ed6d5eb66ff04747d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-13T10:27:57Z",
    "title_canon_sha256": "3c50db6d5130746ac6478efb6b92a5e7550474684ebcabc52151ff95b3860644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3115",
    "kind": "arxiv",
    "version": 1
  }
}