Pith Number

pith:ANEHWOCE

pith:2012:ANEHWOCEECRCELHHTQVBH7RVMI

not attested not anchored not stored refs pending

On the last digit and the last non-zero digit of $n^n$ in base $b$

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

arxiv:1203.4066 v1 · 2012-03-19 · 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{ANEHWOCEECRCELHHTQVBH7RVMI}

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	2026-05-18T03:59:48.362535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03487b384420a2222ce79c2a13fe35623ab6b0d07985db6a8559da800616e733

Aliases

arxiv: 1203.4066 · arxiv_version: 1203.4066v1 · doi: 10.48550/arxiv.1203.4066 · pith_short_12: ANEHWOCEECRC · pith_short_16: ANEHWOCEECRCELHH · pith_short_8: ANEHWOCE

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/ANEHWOCEECRCELHHTQVBH7RVMI \
  | 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: 03487b384420a2222ce79c2a13fe35623ab6b0d07985db6a8559da800616e733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700cbae501b5259508e410c72d1a4f7ab116776782d0a963f855ca86b0fb2b1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-19T09:47:09Z",
    "title_canon_sha256": "eb073bd1f37e63ec9bec9241c7e57ac39e93430c4cad64197ed580b1d2218430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4066",
    "kind": "arxiv",
    "version": 1
  }
}