Pith Number

pith:4CSGGZWG

pith:2018:4CSGGZWGAYWIFHDJPMPGNBCAC6

not attested not anchored not stored refs pending

Distribution asymptotique des valeurs propres des endomorphismes de Frobenius [d'apr\`es Abel, Chebyshev, Robinson, ...]

Jean-Pierre Serre

arxiv:1807.11700 v3 · 2018-07-31 · 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{4CSGGZWGAYWIFHDJPMPGNBCAC6}

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	2026-05-17T23:41:17.937646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a46366c6062c829c697b1e6684401784919ee4b5684bdee6ba1a6d7ab47656

Aliases

arxiv: 1807.11700 · arxiv_version: 1807.11700v3 · doi: 10.48550/arxiv.1807.11700 · pith_short_12: 4CSGGZWGAYWI · pith_short_16: 4CSGGZWGAYWIFHDJ · pith_short_8: 4CSGGZWG

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/4CSGGZWGAYWIFHDJPMPGNBCAC6 \
  | 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: e0a46366c6062c829c697b1e6684401784919ee4b5684bdee6ba1a6d7ab47656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b0b3524f6cbf2e785785f4426258edfc74409b0d995ca151945cda39884757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-31T08:25:15Z",
    "title_canon_sha256": "09aea7d33b8cd2b56e17594025b0baf4757be403881504232bfa8399159fbf43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11700",
    "kind": "arxiv",
    "version": 3
  }
}