Pith Number

pith:G3PAIGU2

pith:2015:G3PAIGU2MRRBSCXV6Z4OLDKOUT

not attested not anchored not stored refs pending

Simple permutations with order $4n + 2$ by means of Pasting and Reversing

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

arxiv:1505.06581 v1 · 2015-05-25 · 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{G3PAIGU2MRRBSCXV6Z4OLDKOUT}

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	2026-05-18T01:09:46.860441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36de041a9a6462190af5f678e58d4ea4d8f28ff13bb3154f0d9d125b14de4b05

Aliases

arxiv: 1505.06581 · arxiv_version: 1505.06581v1 · doi: 10.48550/arxiv.1505.06581 · pith_short_12: G3PAIGU2MRRB · pith_short_16: G3PAIGU2MRRBSCXV · pith_short_8: G3PAIGU2

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/G3PAIGU2MRRBSCXV6Z4OLDKOUT \
  | 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: 36de041a9a6462190af5f678e58d4ea4d8f28ff13bb3154f0d9d125b14de4b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8899066ef396071b0d7b79af05b98db6688ba26e13d6257f45d2d901c89a5d80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-25T09:45:42Z",
    "title_canon_sha256": "0a9deee2a58b89f9075086b0a6e7ccd82cf50e857e6ca6c2da895b165c3cfbef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06581",
    "kind": "arxiv",
    "version": 1
  }
}