Pith Number

pith:MPUYGQSM

pith:2012:MPUYGQSMRVX5J3INWJKDIEW7A6

not attested not anchored not stored refs pending

Radically weakening the Lehmer and Carmichael conditions

Nathan McNew

arxiv:1210.2001 v1 · 2012-10-06 · 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{MPUYGQSMRVX5J3INWJKDIEW7A6}

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	2026-05-18T03:17:14.744365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e983424c8d6fd4ed0db2543412df07b0f39f3bea977c1fee3cac078f0a377e

Aliases

arxiv: 1210.2001 · arxiv_version: 1210.2001v1 · doi: 10.48550/arxiv.1210.2001 · pith_short_12: MPUYGQSMRVX5 · pith_short_16: MPUYGQSMRVX5J3IN · pith_short_8: MPUYGQSM

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/MPUYGQSMRVX5J3INWJKDIEW7A6 \
  | 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: 63e983424c8d6fd4ed0db2543412df07b0f39f3bea977c1fee3cac078f0a377e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b42db370c0c1f64bbaf51908078859376115420a6cf2acc940ced72d328ce2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-06T21:06:59Z",
    "title_canon_sha256": "1582ec7a69172a4631501e381ab40c72bcf9b236ec967ed8022227ff31401312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2001",
    "kind": "arxiv",
    "version": 1
  }
}