Pith Number

pith:M25ZKG2B

pith:2011:M25ZKG2BQGD5DOIXKEWHG3EQSY

not attested not anchored not stored refs pending

Average Frobenius distribution for the degree two primes of a number field

Ethan Smith, Kevin James

arxiv:1109.4007 v2 · 2011-09-19 · 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{M25ZKG2BQGD5DOIXKEWHG3EQSY}

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	2026-05-18T03:19:13.500186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66bb951b418187d1b917512c736c909625671994457a1c0f63912bab4fc9e492

Aliases

arxiv: 1109.4007 · arxiv_version: 1109.4007v2 · doi: 10.48550/arxiv.1109.4007 · pith_short_12: M25ZKG2BQGD5 · pith_short_16: M25ZKG2BQGD5DOIX · pith_short_8: M25ZKG2B

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/M25ZKG2BQGD5DOIXKEWHG3EQSY \
  | 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: 66bb951b418187d1b917512c736c909625671994457a1c0f63912bab4fc9e492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271f1770dd1331933f21a5874b8519cc1d61a0cc6b03fdb69fb4a315c66901de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-19T12:12:25Z",
    "title_canon_sha256": "33cd88ed16cff5eb80a0b144b9a4b22929e9109c1db571a1cfa8d94bd1533f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4007",
    "kind": "arxiv",
    "version": 2
  }
}