Pith Number

pith:JAUGR7WM

pith:2012:JAUGR7WMYTZAP3H5YWLSUNYHZB

not attested not anchored not stored refs pending

Class Numbers via 3-Isogenies and Elliptic Surfaces

Cam McLeman, Dustin Moody

arxiv:1203.3560 v1 · 2012-03-15 · 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{JAUGR7WMYTZAP3H5YWLSUNYHZB}

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	2026-05-18T03:59:59.707124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

482868feccc4f207ecfdc5972a3707c8623182bb54c44ab934e47ab27de6828c

Aliases

arxiv: 1203.3560 · arxiv_version: 1203.3560v1 · doi: 10.48550/arxiv.1203.3560 · pith_short_12: JAUGR7WMYTZA · pith_short_16: JAUGR7WMYTZAP3H5 · pith_short_8: JAUGR7WM

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/JAUGR7WMYTZAP3H5YWLSUNYHZB \
  | 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: 482868feccc4f207ecfdc5972a3707c8623182bb54c44ab934e47ab27de6828c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d27f2e01d27b2aedb408716bfca00ce832603c55e8c4a7aaec2e54984fe1775",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-15T20:53:47Z",
    "title_canon_sha256": "33c61e9b62443205ba98683b25256917ba42e4be4e20494894049795ce5e47f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3560",
    "kind": "arxiv",
    "version": 1
  }
}