Pith Number

pith:H52V5RGV

pith:2009:H52V5RGVIXSFC6WKF5PDXSUY4Y

not attested not anchored not stored refs pending

Nonsolvable number fields ramified only at 3 and 5

John Voight, Lassina Dembele, Matthew Greenberg

arxiv:0906.4374 v2 · 2009-06-24 · 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{H52V5RGVIXSFC6WKF5PDXSUY4Y}

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	2026-05-18T03:02:44.625367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f755ec4d545e4517aca2f5e3bca98e60434595682371b5df652d42b28457a8e

Aliases

arxiv: 0906.4374 · arxiv_version: 0906.4374v2 · doi: 10.48550/arxiv.0906.4374 · pith_short_12: H52V5RGVIXSF · pith_short_16: H52V5RGVIXSFC6WK · pith_short_8: H52V5RGV

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/H52V5RGVIXSFC6WKF5PDXSUY4Y \
  | 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: 3f755ec4d545e4517aca2f5e3bca98e60434595682371b5df652d42b28457a8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d619c2c5c32ae3a2de6f5dee678f7116525d5e8e2ad0e51cc46f651d3a8b4450",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-06-24T14:38:28Z",
    "title_canon_sha256": "85b2a38c7e85159de7af4bb04bc88be51c7107fafec54bf89b2c9ccbe46b704b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4374",
    "kind": "arxiv",
    "version": 2
  }
}