Pith Number

pith:CMU2EM4G

pith:2010:CMU2EM4G3XPKQSSPYHVECSSPFO

not attested not anchored not stored refs pending

La connexit\'e rationnelle en arithm\'etique

Olivier Wittenberg

arxiv:1003.1659 v4 · 2010-03-08 · 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{CMU2EM4G3XPKQSSPYHVECSSPFO}

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	2026-05-18T01:18:15.531080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1329a23386dddea84a4fc1ea414a4f2ba039d18ce93beee511e24929591d87b2

Aliases

arxiv: 1003.1659 · arxiv_version: 1003.1659v4 · doi: 10.48550/arxiv.1003.1659 · pith_short_12: CMU2EM4G3XPK · pith_short_16: CMU2EM4G3XPKQSSP · pith_short_8: CMU2EM4G

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/CMU2EM4G3XPKQSSPYHVECSSPFO \
  | 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: 1329a23386dddea84a4fc1ea414a4f2ba039d18ce93beee511e24929591d87b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9cc8da4edd6cf73dea15dbad8ae9aa2079a5dc2a4480f82ae75a72217e1404c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-03-08T16:01:40Z",
    "title_canon_sha256": "703c70378707d763c6db6751a36c04a5109317ba090f3b399347218ee6f54e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1659",
    "kind": "arxiv",
    "version": 4
  }
}