Pith Number

pith:STSC3QQS

pith:2017:STSC3QQSDROQ3UY4CHIXJFQNI3

not attested not anchored not stored refs pending

Counting Permutations that Avoid Many Patterns

Andrew Lohr, Anthony Zaleski, Bryan Ek, Doron Zeilberger, Haripriya Chakraborty, Jinyoung Park, John Chiarelli, Justin Semonsen, Mingjia Yang, Richard Voepel, Yonah Biers-Ariel

arxiv:1703.02415 v1 · 2017-03-07 · 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{STSC3QQSDROQ3UY4CHIXJFQNI3}

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	2026-05-18T00:49:20.108370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94e42dc2121c5d0dd31c11d174960d46f3f78baf32072496d40f6aaf6bdc64c9

Aliases

arxiv: 1703.02415 · arxiv_version: 1703.02415v1 · doi: 10.48550/arxiv.1703.02415 · pith_short_12: STSC3QQSDROQ · pith_short_16: STSC3QQSDROQ3UY4 · pith_short_8: STSC3QQS

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/STSC3QQSDROQ3UY4CHIXJFQNI3 \
  | 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: 94e42dc2121c5d0dd31c11d174960d46f3f78baf32072496d40f6aaf6bdc64c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e3ba203e51a181c80cfac9d2b88d861a521ba731fbae5360b64c57ab8a27336",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-07T14:52:01Z",
    "title_canon_sha256": "6930884cc5c4d6b6d391d19a86140baf2bce19fa7da55b78badf3bfe48929079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02415",
    "kind": "arxiv",
    "version": 1
  }
}