Pith Number

pith:EXD4QRCZ

pith:2018:EXD4QRCZYRTKMSJ7VGRFMJB7MI

not attested not anchored not stored refs pending

Containing all permutations

Michael Engen, Vincent Vatter

arxiv:1810.08252 v4 · 2018-10-18 · 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{EXD4QRCZYRTKMSJ7VGRFMJB7MI}

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.

Cited by

1 paper in Pith

Superpermutation matrices

Receipt and verification

First computed	2026-07-05T02:07:12.627893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c7c84459c466a6493fa9a256243f620b5993b79984d4fbec66cc7cdc2bd136

Aliases

arxiv: 1810.08252 · arxiv_version: 1810.08252v4 · doi: 10.48550/arxiv.1810.08252 · pith_short_12: EXD4QRCZYRTK · pith_short_16: EXD4QRCZYRTKMSJ7 · pith_short_8: EXD4QRCZ

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/EXD4QRCZYRTKMSJ7VGRFMJB7MI \
  | 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: 25c7c84459c466a6493fa9a256243f620b5993b79984d4fbec66cc7cdc2bd136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0e5f519c33d9deb218826f27d50a92904f0ee9398b3b0d41c5de1982879760",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-18T19:27:03Z",
    "title_canon_sha256": "e7a5130f5a86cf34a04d312a9823b1e286c1e923ef3cadd8de5ef0b5427e240c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08252",
    "kind": "arxiv",
    "version": 4
  }
}