Pith Number

pith:CF6N5EIA

pith:2004:CF6N5EIAS6VVUTCV2XVUIGXE5E

not attested not anchored not stored refs pending

On primes p for which d divides ord_p(g)

Pieter Moree

arxiv:math/0407421 v1 · 2004-07-24 · 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{CF6N5EIAS6VVUTCV2XVUIGXE5E}

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	2026-05-18T01:05:26.157964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

117cde910097ab5a4c55d5eb441ae4e93a6a4f645bce5879a97c1689dbf57054

Aliases

arxiv: math/0407421 · arxiv_version: math/0407421v1 · doi: 10.48550/arxiv.math/0407421 · pith_short_12: CF6N5EIAS6VV · pith_short_16: CF6N5EIAS6VVUTCV · pith_short_8: CF6N5EIA

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/CF6N5EIAS6VVUTCV2XVUIGXE5E \
  | 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: 117cde910097ab5a4c55d5eb441ae4e93a6a4f645bce5879a97c1689dbf57054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c06ef075877085ee35a2d181dd054de70bf75d1af68a23bbbe3ce9cf24503b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-07-24T19:38:07Z",
    "title_canon_sha256": "8bd86a374b2f4b4e4acb1de7ed304f8d56a291328e74783d9aba11bb4f426dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407421",
    "kind": "arxiv",
    "version": 1
  }
}