Pith Number

pith:VQTOTWBV

pith:2011:VQTOTWBV7LW64NZ6HVIQWVF57B

not attested not anchored not stored refs pending

Optimal curves of genus 1,2 and 3

Christophe Ritzenthaler

arxiv:1101.5871 v1 · 2011-01-31 · math.AG · 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{VQTOTWBV7LW64NZ6HVIQWVF57B}

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	2026-05-18T04:30:24.648732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac26e9d835faedee373e3d510b54bdf86512d8f81b0b2d6736fb2c3d092a5f22

Aliases

arxiv: 1101.5871 · arxiv_version: 1101.5871v1 · doi: 10.48550/arxiv.1101.5871 · pith_short_12: VQTOTWBV7LW6 · pith_short_16: VQTOTWBV7LW64NZ6 · pith_short_8: VQTOTWBV

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/VQTOTWBV7LW64NZ6HVIQWVF57B \
  | 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: ac26e9d835faedee373e3d510b54bdf86512d8f81b0b2d6736fb2c3d092a5f22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b328a5ce2596144b259dd4a4bd1c0375efc904db733362c2cefc1e8a1a1c0274",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-31T08:05:19Z",
    "title_canon_sha256": "aa4f156a284683568b5eb1739d9423e3a6d3d7298840a303370e7639e6f2451c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5871",
    "kind": "arxiv",
    "version": 1
  }
}