Pith Number

pith:K6POFEQ3

pith:2009:K6POFEQ3XRYGYZ3IJKJZ23E3Y4

not attested not anchored not stored refs pending

Le lemme fondamental pond\'er\'e I : constructions g\'eom\'etriques

G\'erard Laumon, Pierre-Henri Chaudouard

arxiv:0902.2684 v1 · 2009-02-16 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6POFEQ3XRYGYZ3IJKJZ23E3Y4}

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	2026-05-18T03:02:44.765199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

579ee2921bbc706c67684a939d6c9bc719212dd779c06dc578032137e2775591

Aliases

arxiv: 0902.2684 · arxiv_version: 0902.2684v1 · doi: 10.48550/arxiv.0902.2684 · pith_short_12: K6POFEQ3XRYG · pith_short_16: K6POFEQ3XRYGYZ3I · pith_short_8: K6POFEQ3

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/K6POFEQ3XRYGYZ3IJKJZ23E3Y4 \
  | 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: 579ee2921bbc706c67684a939d6c9bc719212dd779c06dc578032137e2775591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1cc8a560a0529186171a371ed8300b07f61123cb8306104c43e85128cb95bf3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-16T13:19:57Z",
    "title_canon_sha256": "d3e5923797d38b912ae9f472f5ee2e8555b32e400a5d1a705ab90eb17b924f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2684",
    "kind": "arxiv",
    "version": 1
  }
}