Pith Number

pith:GL3CQB63

pith:2012:GL3CQB633TVS2AXVJJTZMIKXZK

not attested not anchored not stored refs pending

A Cohen-Lenstra phenomenon for elliptic curves

Chantal David, Ethan Smith

arxiv:1206.1585 v3 · 2012-06-07 · 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{GL3CQB633TVS2AXVJJTZMIKXZK}

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	2026-05-18T02:59:18.821371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f62807dbdceb2d02f54a67962157cabe00407f40c7cb17e765083145ec4e0a

Aliases

arxiv: 1206.1585 · arxiv_version: 1206.1585v3 · doi: 10.48550/arxiv.1206.1585 · pith_short_12: GL3CQB633TVS · pith_short_16: GL3CQB633TVS2AXV · pith_short_8: GL3CQB63

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/GL3CQB633TVS2AXVJJTZMIKXZK \
  | 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: 32f62807dbdceb2d02f54a67962157cabe00407f40c7cb17e765083145ec4e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321dfeac452e37e68dcb253dc102e16c7e6c2a79b95017127ca0efc05dd30a10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-07T19:27:10Z",
    "title_canon_sha256": "5a7c509fb78105ae25347db6388e4d6c2cffb08d86bcdaa5b3a6eaae061d4d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1585",
    "kind": "arxiv",
    "version": 3
  }
}