Pith Number

pith:OOADPUDP

pith:2015:OOADPUDPVCTHFJ2JHQFGEPCBDX

not attested not anchored not stored refs pending

A note on the product of two permutations of prescribed orders

Joachim K\"onig

arxiv:1508.02170 v2 · 2015-08-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOADPUDPVCTHFJ2JHQFGEPCBDX}

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	2026-05-18T00:54:48.190587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

738037d06fa8a672a7493c0a623c411ddbfef4e88b2d81f4e5654abb9a749c2a

Aliases

arxiv: 1508.02170 · arxiv_version: 1508.02170v2 · doi: 10.48550/arxiv.1508.02170 · pith_short_12: OOADPUDPVCTH · pith_short_16: OOADPUDPVCTHFJ2J · pith_short_8: OOADPUDP

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/OOADPUDPVCTHFJ2JHQFGEPCBDX \
  | 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: 738037d06fa8a672a7493c0a623c411ddbfef4e88b2d81f4e5654abb9a749c2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a6124c2a5aed687c5a7316ec1edd9b981c27e64ba41e268542fed9b7a8689c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-10T08:49:23Z",
    "title_canon_sha256": "bd8a93a9366e57f7f40b2416450fac1c5b06073b3bde5cff9bb0303181dd2e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02170",
    "kind": "arxiv",
    "version": 2
  }
}