Pith Number

pith:O22STYCD

pith:2017:O22STYCDF5LRAFUD4VKS7A5GOP

not attested not anchored not stored refs pending

Universal layered permutations

Jay Pantone, Michael Albert, Michael Engen, Vincent Vatter

arxiv:1710.04240 v1 · 2017-10-11 · 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{O22STYCDF5LRAFUD4VKS7A5GOP}

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	2026-05-18T00:33:01.595676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b529e0432f57101683e5552f83a673cf5adf7386b564c1cdfba23d8b43a756

Aliases

arxiv: 1710.04240 · arxiv_version: 1710.04240v1 · doi: 10.48550/arxiv.1710.04240 · pith_short_12: O22STYCDF5LR · pith_short_16: O22STYCDF5LRAFUD · pith_short_8: O22STYCD

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/O22STYCDF5LRAFUD4VKS7A5GOP \
  | 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: 76b529e0432f57101683e5552f83a673cf5adf7386b564c1cdfba23d8b43a756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca8ab31e9dc051185fcfa1701d067f5d1cdb7666c67dec8f71c537061761fd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-11T18:20:37Z",
    "title_canon_sha256": "7ad606feec5701c48a7d7f001a87a2f4a61500da264b33749537262fec0c8bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04240",
    "kind": "arxiv",
    "version": 1
  }
}