Pith Number

pith:CT4IVOLV

pith:2011:CT4IVOLV3YOHKSOIPSTRZW4HSN

not attested not anchored not stored refs pending

The probability that the number of points on the Jacobian of a genus 2 curve is prime

Amanda Folsom, Andrew V. Sutherland, Hendrik Hubrechts, Wouter Castryck

arxiv:1101.4792 v2 · 2011-01-25 · 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{CT4IVOLV3YOHKSOIPSTRZW4HSN}

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	2026-05-18T03:34:46.499233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f88ab975de1c7549c87ca71cdb8793615bbfb1f336ea0291b8228a7e9fee3c

Aliases

arxiv: 1101.4792 · arxiv_version: 1101.4792v2 · doi: 10.48550/arxiv.1101.4792 · pith_short_12: CT4IVOLV3YOH · pith_short_16: CT4IVOLV3YOHKSOI · pith_short_8: CT4IVOLV

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/CT4IVOLV3YOHKSOIPSTRZW4HSN \
  | 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: 14f88ab975de1c7549c87ca71cdb8793615bbfb1f336ea0291b8228a7e9fee3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c672a785fd2e3e1d6baabfc22894e9fa35e612c067635bfa1c4cee6ed017fe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-25T12:38:01Z",
    "title_canon_sha256": "4745d4393f2459a5c8356388d4d0bcdccfd24ffb01857e8bc54541a03caf1af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4792",
    "kind": "arxiv",
    "version": 2
  }
}