Pith Number

pith:ARIEKHS2

pith:2017:ARIEKHS2YRKL3WK2VEKVKXLDAW

not attested not anchored not stored refs pending

Patterns in random permutations avoiding the pattern 321

Svante Janson

arxiv:1709.08427 v2 · 2017-09-25 · math.PR · 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{ARIEKHS2YRKL3WK2VEKVKXLDAW}

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	2026-05-18T00:27:30.069913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0450451e5ac454bdd95aa915555d63058b4dd49aaa8a70b4bc66a8bfdd6c0ea8

Aliases

arxiv: 1709.08427 · arxiv_version: 1709.08427v2 · doi: 10.48550/arxiv.1709.08427 · pith_short_12: ARIEKHS2YRKL · pith_short_16: ARIEKHS2YRKL3WK2 · pith_short_8: ARIEKHS2

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/ARIEKHS2YRKL3WK2VEKVKXLDAW \
  | 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: 0450451e5ac454bdd95aa915555d63058b4dd49aaa8a70b4bc66a8bfdd6c0ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c626540e73dcd6e09a1071f648fb24e10c8012519c7f6e918444914eac12184b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-25T11:25:58Z",
    "title_canon_sha256": "3f404f150de7fb2dbedc1bb300a70fc4eff11573ea052fe67c94cc11bfcf6b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08427",
    "kind": "arxiv",
    "version": 2
  }
}