Pith Number

pith:3NKWTFQ2

pith:2015:3NKWTFQ2NRUTKG7E62P3IZPPEW

not attested not anchored not stored refs pending

A Note On Non-ordinary Primes

Ken Ono, Seokho Jin, Wenjun Ma

arxiv:1511.06725 v2 · 2015-11-20 · 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{3NKWTFQ2NRUTKG7E62P3IZPPEW}

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	2026-05-18T01:23:15.887836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5569961a6c69351be4f69fb465ef258f6d5a7994ac83435d8978ecfb2ec8e6

Aliases

arxiv: 1511.06725 · arxiv_version: 1511.06725v2 · doi: 10.48550/arxiv.1511.06725 · pith_short_12: 3NKWTFQ2NRUT · pith_short_16: 3NKWTFQ2NRUTKG7E · pith_short_8: 3NKWTFQ2

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/3NKWTFQ2NRUTKG7E62P3IZPPEW \
  | 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: db5569961a6c69351be4f69fb465ef258f6d5a7994ac83435d8978ecfb2ec8e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f630fecd5c9f54b2aef0bfd93f49eb0f9b79b5b0d25410cfe7d7dc426e17c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-20T19:04:52Z",
    "title_canon_sha256": "33dacd286ec068bd13590fe1d92820898d027b6f5a2a3c2a66d9a3942f541a5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06725",
    "kind": "arxiv",
    "version": 2
  }
}