Pith Number

pith:IMHIXFVS

pith:2010:IMHIXFVSLCKZ7XOL5IXFW23MYZ

not attested not anchored not stored refs pending

On $k$-Lehmer numbers

Antonio M. Oller-Marc\'en, Jos\'e Mar\'ia Grau

arxiv:1012.2337 v2 · 2010-12-10 · 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{IMHIXFVSLCKZ7XOL5IXFW23MYZ}

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	2026-05-18T03:59:36.922079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430e8b96b258959fddcbea2e5b6b6cc6760e547d7f8385bf8ab8e8e0c69b09e2

Aliases

arxiv: 1012.2337 · arxiv_version: 1012.2337v2 · doi: 10.48550/arxiv.1012.2337 · pith_short_12: IMHIXFVSLCKZ · pith_short_16: IMHIXFVSLCKZ7XOL · pith_short_8: IMHIXFVS

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/IMHIXFVSLCKZ7XOL5IXFW23MYZ \
  | 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: 430e8b96b258959fddcbea2e5b6b6cc6760e547d7f8385bf8ab8e8e0c69b09e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dd1093a5fd71fd327de9f18bef5a4eb4bc92f1c22f2579ed71f0db89b84ddf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-10T18:26:06Z",
    "title_canon_sha256": "735992fdf451290cc61b9b90e1b656c53c2d93ed1faaff6d78c3eda21537b5f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2337",
    "kind": "arxiv",
    "version": 2
  }
}