Pith Number

pith:QUSM4IYV

pith:2009:QUSM4IYVRYUXZNXH7EHYPAG4AA

not attested not anchored not stored refs pending

Hunting for curves with many points

Gerard van der Geer

arxiv:0902.3882 v1 · 2009-02-23 · 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{QUSM4IYVRYUXZNXH7EHYPAG4AA}

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	2026-05-18T04:39:39.347457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8524ce23158e297cb6e7f90f8780dc0032174a8c3d84aeb1e87a3193070713ea

Aliases

arxiv: 0902.3882 · arxiv_version: 0902.3882v1 · doi: 10.48550/arxiv.0902.3882 · pith_short_12: QUSM4IYVRYUX · pith_short_16: QUSM4IYVRYUXZNXH · pith_short_8: QUSM4IYV

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/QUSM4IYVRYUXZNXH7EHYPAG4AA \
  | 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: 8524ce23158e297cb6e7f90f8780dc0032174a8c3d84aeb1e87a3193070713ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4005c14c169d9a484d4b074f5552ab18dc542192559f02f35ded48e4bed01038",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-23T10:31:44Z",
    "title_canon_sha256": "1049b64eb6a2e5106ef3716a2f75d97492552e08907ee1bae45b072dac2766ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3882",
    "kind": "arxiv",
    "version": 1
  }
}