Pith Number

pith:NX2K23RN

pith:2014:NX2K23RN5HUVJD4TPHMH3Z7H4P

not attested not anchored not stored refs pending

Characterizations of Mersenne and 2-rooted primes

Gaywalee Yamskulna, Keir Lockridge, Sunil K. Chebolu

arxiv:1404.4096 v3 · 2014-04-15 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NX2K23RN5HUVJD4TPHMH3Z7H4P}

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	2026-05-18T01:51:25.282513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6df4ad6e2de9e9548f9379d87de7e7e3df84c1b32c5d345c02fed7581e7e16f2

Aliases

arxiv: 1404.4096 · arxiv_version: 1404.4096v3 · doi: 10.48550/arxiv.1404.4096 · pith_short_12: NX2K23RN5HUV · pith_short_16: NX2K23RN5HUVJD4T · pith_short_8: NX2K23RN

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/NX2K23RN5HUVJD4TPHMH3Z7H4P \
  | 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: 6df4ad6e2de9e9548f9379d87de7e7e3df84c1b32c5d345c02fed7581e7e16f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d7fb7a9a00e369b3fe6f44094c87f40578b109b9082398a45fb6067a1efd60",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-15T22:08:09Z",
    "title_canon_sha256": "3dc5180eda02c27104a53083b6d994825ceeb705ddd09f22c298942c689b0b62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4096",
    "kind": "arxiv",
    "version": 3
  }
}