Pith Number

pith:QRXPKVML

pith:2010:QRXPKVMLCXLH5EQKTMMFMEBA7T

not attested not anchored not stored refs pending

Simple permutations with order $4n + 2$. Part I

Eduardo Mart\'inez Castiblanco, Primitivo B. Acosta-Hum\'anez

arxiv:1012.2076 v2 · 2010-12-09 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRXPKVMLCXLH5EQKTMMFMEBA7T}

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	2026-05-18T04:10:12.463258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

846ef5558b15d67e920a9b18561020fced3eae529fe02fa2b3426048f8ce7523

Aliases

arxiv: 1012.2076 · arxiv_version: 1012.2076v2 · doi: 10.48550/arxiv.1012.2076 · pith_short_12: QRXPKVMLCXLH · pith_short_16: QRXPKVMLCXLH5EQK · pith_short_8: QRXPKVML

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/QRXPKVMLCXLH5EQKTMMFMEBA7T \
  | 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: 846ef5558b15d67e920a9b18561020fced3eae529fe02fa2b3426048f8ce7523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f93c262ec90910815f2ee71c148e54db0438796f6d8926248f1e5601e9fa53c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-09T18:48:28Z",
    "title_canon_sha256": "88e46bce497c0002d13a86e1dee131ab02bd08586ec26b7d0969d62d923da399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2076",
    "kind": "arxiv",
    "version": 2
  }
}