Pith Number

pith:VWNX22JA

pith:2011:VWNX22JAOAMP3L4UFO33MHWWFW

not attested not anchored not stored refs pending

L-functions with n-th order twists

Benoit Louvel, Leo Goldmakher, Valentin Blomer

arxiv:1112.1650 v1 · 2011-12-07 · 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{VWNX22JAOAMP3L4UFO33MHWWFW}

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	2026-05-18T04:06:46.601144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9b7d69207018fdaf942bb7b61ed62dbf90af22d72dd8a5724076f198be8deb

Aliases

arxiv: 1112.1650 · arxiv_version: 1112.1650v1 · doi: 10.48550/arxiv.1112.1650 · pith_short_12: VWNX22JAOAMP · pith_short_16: VWNX22JAOAMP3L4U · pith_short_8: VWNX22JA

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/VWNX22JAOAMP3L4UFO33MHWWFW \
  | 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: ad9b7d69207018fdaf942bb7b61ed62dbf90af22d72dd8a5724076f198be8deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e34231dab0a014875259aaa27559b3998cfc2b30b0a138896b5be505d0cdb96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-07T18:07:34Z",
    "title_canon_sha256": "fc49c07a3bbf2b98a2781db9adcbf9e668dc3b9b106eafe95a1eb4227ba7068e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1650",
    "kind": "arxiv",
    "version": 1
  }
}