Pith Number

pith:NQP7U4VG

pith:2013:NQP7U4VGCWEPNPW7KJ3BV4JHOT

not attested not anchored not stored refs pending

Stanley-Wilf limits are typically exponential

Jacob Fox

arxiv:1310.8378 v1 · 2013-10-31 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQP7U4VGCWEPNPW7KJ3BV4JHOT}

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

Inapproximability of Counting Permutation Patterns

Receipt and verification

First computed	2026-05-18T03:08:17.283952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c1ffa72a61588f6bedf52761af12774c7f85f1ad8723a3dd7a0a3e1aa2ff52e

Aliases

arxiv: 1310.8378 · arxiv_version: 1310.8378v1 · doi: 10.48550/arxiv.1310.8378 · pith_short_12: NQP7U4VGCWEP · pith_short_16: NQP7U4VGCWEPNPW7 · pith_short_8: NQP7U4VG

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/NQP7U4VGCWEPNPW7KJ3BV4JHOT \
  | 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: 6c1ffa72a61588f6bedf52761af12774c7f85f1ad8723a3dd7a0a3e1aa2ff52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8322e9b038b3771b2a686b67105134e4630491d70f0403b829d3af5140336c9c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-31T04:25:37Z",
    "title_canon_sha256": "53d8ebd6d829ab55199e861bbc269afaf78ee03e77df1070f4548eafe6cd8efe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8378",
    "kind": "arxiv",
    "version": 1
  }
}