Pith Number

pith:QS3W5KBU

pith:2012:QS3W5KBUTFHH23TXNZKYWANNF3

not attested not anchored not stored refs pending

Number of points on abelian and Jacobian varieties over finite fields

Gilles Lachaud (IML), IMATH), Safia Haloui (IML), Yves Aubry (IML

arxiv:1201.4967 v2 · 2012-01-24 · 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{QS3W5KBUTFHH23TXNZKYWANNF3}

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	2026-05-18T03:56:33.834815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b76ea834994e7d6e776e558b01ad2eff9eabad6ec0e1f5fb4b305f803fadeb

Aliases

arxiv: 1201.4967 · arxiv_version: 1201.4967v2 · doi: 10.48550/arxiv.1201.4967 · pith_short_12: QS3W5KBUTFHH · pith_short_16: QS3W5KBUTFHH23TX · pith_short_8: QS3W5KBU

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/QS3W5KBUTFHH23TXNZKYWANNF3 \
  | 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: 84b76ea834994e7d6e776e558b01ad2eff9eabad6ec0e1f5fb4b305f803fadeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75eef1a0da6bdb72beca38a7441170e576b0f3f9d181cb2fcb480ebb7cbe301c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-24T13:08:22Z",
    "title_canon_sha256": "4b40a54827390d31baca7b8d1d69216d0e1b7947c28a93017ea819aab0af1b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4967",
    "kind": "arxiv",
    "version": 2
  }
}