Pith Number

pith:Z34HLVR3

pith:2010:Z34HLVR3NPNCWUH62SAE2M2QWY

not attested not anchored not stored refs pending

Formule des Traces et Fonctorialit\'e: le D\'ebut d'un Programme

Edward Frenkel, Ngo Bao Chau, Robert Langlands

arxiv:1003.4578 v2 · 2010-03-24 · math.RT · math.AG · 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{Z34HLVR3NPNCWUH62SAE2M2QWY}

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	2026-05-18T04:40:08.289881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef875d63b6bda2b50fed4804d3350b613e7711b6f883581478f6579a513c83c

Aliases

arxiv: 1003.4578 · arxiv_version: 1003.4578v2 · doi: 10.48550/arxiv.1003.4578 · pith_short_12: Z34HLVR3NPNC · pith_short_16: Z34HLVR3NPNCWUH6 · pith_short_8: Z34HLVR3

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/Z34HLVR3NPNCWUH62SAE2M2QWY \
  | 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: cef875d63b6bda2b50fed4804d3350b613e7711b6f883581478f6579a513c83c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3369e2034a3194914b78420ae6dfc064114f81153924af076394a913ad42b301",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-03-24T05:08:50Z",
    "title_canon_sha256": "e540fd744180a27907ae17e5ffde6cbfcf3f1dffa8657fcb76a443c8bfd23a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4578",
    "kind": "arxiv",
    "version": 2
  }
}