Pith Number

pith:X5WS7NKX

pith:2014:X5WS7NKXRIJUBBW4ETIXSQEJMY

not attested not anchored not stored refs pending

An upper bound on the number of rational points of arbitrary projective varieties over finite fields

Alain Couvreur

arxiv:1409.7544 v3 · 2014-09-26 · math.AG · math.CO · 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{X5WS7NKXRIJUBBW4ETIXSQEJMY}

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	2026-05-18T01:28:14.781893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6d2fb5578a134086dc24d17940896631859bcff5b69e6c219bdb6430d25ce6

Aliases

arxiv: 1409.7544 · arxiv_version: 1409.7544v3 · doi: 10.48550/arxiv.1409.7544 · pith_short_12: X5WS7NKXRIJU · pith_short_16: X5WS7NKXRIJUBBW4 · pith_short_8: X5WS7NKX

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/X5WS7NKXRIJUBBW4ETIXSQEJMY \
  | 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: bf6d2fb5578a134086dc24d17940896631859bcff5b69e6c219bdb6430d25ce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9328ca181432a4c913ba18a65d34cc6f72efe14a0980e91f5edf9c078def4128",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-26T11:43:28Z",
    "title_canon_sha256": "602cae4414fb3fe576433437f4f63e8e99d071893368c2b7cd983af3b35264ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7544",
    "kind": "arxiv",
    "version": 3
  }
}