Pith Number

pith:KZXYLLMM

pith:2002:KZXYLLMMONPBUVYCMWOG2BD24Y

not attested not anchored not stored refs pending

Number of points of function fields over finite fields

Bruno Kahn

arxiv:math/0210202 v2 · 2002-10-14 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZXYLLMMONPBUVYCMWOG2BD24Y}

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	2026-05-18T04:41:05.470166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566f85ad8c735e1a5702659c6d047ae619622e4f061e6a8a80baac4cd49253f8

Aliases

arxiv: math/0210202 · arxiv_version: math/0210202v2 · doi: 10.48550/arxiv.math/0210202 · pith_short_12: KZXYLLMMONPB · pith_short_16: KZXYLLMMONPBUVYC · pith_short_8: KZXYLLMM

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/KZXYLLMMONPBUVYCMWOG2BD24Y \
  | 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: 566f85ad8c735e1a5702659c6d047ae619622e4f061e6a8a80baac4cd49253f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f32b75fb129b8eda40d84093d17fb2a8e38ffed238f7dcef2459fcae9b98063f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-10-14T16:45:01Z",
    "title_canon_sha256": "5b9b5086b28108f42c5aafe7d30a21660d90541dcb75a2048eb6b76d27fa39ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210202",
    "kind": "arxiv",
    "version": 2
  }
}