Pith Number

pith:LWXJ2FVN

pith:2011:LWXJ2FVN7ZXSYHPWRL4AGMPBQV

not attested not anchored not stored refs pending

Approximate common divisors via lattices

Henry Cohn, Nadia Heninger

arxiv:1108.2714 v2 · 2011-08-12 · math.NT · cs.CR · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWXJ2FVN7ZXSYHPWRL4AGMPBQV}

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	2026-05-18T04:00:13.528589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dae9d16adfe6f2c1df68af80331e1855991133e686959f12c552a3fee5b17fe

Aliases

arxiv: 1108.2714 · arxiv_version: 1108.2714v2 · doi: 10.48550/arxiv.1108.2714 · pith_short_12: LWXJ2FVN7ZXS · pith_short_16: LWXJ2FVN7ZXSYHPW · pith_short_8: LWXJ2FVN

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/LWXJ2FVN7ZXSYHPWRL4AGMPBQV \
  | 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: 5dae9d16adfe6f2c1df68af80331e1855991133e686959f12c552a3fee5b17fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d5735f813fdf4a40fa3d8c3e29f32ffb01a1275e3fde363583a807a03b4375",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-12T20:43:12Z",
    "title_canon_sha256": "f0658b7665d9a87528027c7363feb0dfe23e9880becfa3d9fa160a68b87ed7c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2714",
    "kind": "arxiv",
    "version": 2
  }
}