Pith Number

pith:VYWPDAQT

pith:2018:VYWPDAQT3KFQNNR2AA5DSPN4QB

not attested not anchored not stored refs pending

Exhaustive generation for permutations avoiding a (colored) regular sets of patterns

Phan Thuan Do, Thi Thu Huong Tran, Vincent Vajnovszki

arxiv:1809.00742 v2 · 2018-09-03 · cs.DM · 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{VYWPDAQT3KFQNNR2AA5DSPN4QB}

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	2026-05-18T00:05:40.782297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae2cf18213da8b06b63a003a393dbc8073d1e6e9d0018728341000cfcb7ad3e3

Aliases

arxiv: 1809.00742 · arxiv_version: 1809.00742v2 · doi: 10.48550/arxiv.1809.00742 · pith_short_12: VYWPDAQT3KFQ · pith_short_16: VYWPDAQT3KFQNNR2 · pith_short_8: VYWPDAQT

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/VYWPDAQT3KFQNNR2AA5DSPN4QB \
  | 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: ae2cf18213da8b06b63a003a393dbc8073d1e6e9d0018728341000cfcb7ad3e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ef0fc603f1138165d8ab2987f5f36e5c5faf0c9bb56eaa630345a3903f17a7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-09-03T23:18:15Z",
    "title_canon_sha256": "de72315c970b2f81e7f16ceac3c096f8923e98b6e99d8d18d999548313bc9d2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00742",
    "kind": "arxiv",
    "version": 2
  }
}