Pith Number

pith:CTNWUFVA

pith:2010:CTNWUFVA3IR2Y4KBXS6FBHZPP2

not attested not anchored not stored refs pending

Counting Models of Genus One Curves

Mohammad Sadek

arxiv:1002.0467 v1 · 2010-02-02 · 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{CTNWUFVA3IR2Y4KBXS6FBHZPP2}

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	2026-05-18T02:33:01.701873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14db6a16a0da23ac7141bcbc509f2f7ea080a9df51e5812128f4cdb7b868624c

Aliases

arxiv: 1002.0467 · arxiv_version: 1002.0467v1 · doi: 10.48550/arxiv.1002.0467 · pith_short_12: CTNWUFVA3IR2 · pith_short_16: CTNWUFVA3IR2Y4KB · pith_short_8: CTNWUFVA

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/CTNWUFVA3IR2Y4KBXS6FBHZPP2 \
  | 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: 14db6a16a0da23ac7141bcbc509f2f7ea080a9df51e5812128f4cdb7b868624c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c990e4df287d9becdde6a206ff339113827a8e53aafc17656ce820dd1e79f1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-02-02T12:10:26Z",
    "title_canon_sha256": "9bbee016190adcafd169eb65dee171d8aece3ecf98bdd9668f7c3453130edb31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0467",
    "kind": "arxiv",
    "version": 1
  }
}