Pith Number

pith:WINWAZB7

pith:2018:WINWAZB763HY4FLG2T6LTUSVQF

not attested not anchored not stored refs pending

Patterns in random permutations avoiding some sets of multiple patterns

Svante Janson

arxiv:1804.06071 v1 · 2018-04-17 · 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{WINWAZB763HY4FLG2T6LTUSVQF}

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	2026-05-18T00:18:21.814952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21b60643ff6cf8e1566d4fcb9d255815a141cfb19eaa80a1238dcfe9a4a3656

Aliases

arxiv: 1804.06071 · arxiv_version: 1804.06071v1 · doi: 10.48550/arxiv.1804.06071 · pith_short_12: WINWAZB763HY · pith_short_16: WINWAZB763HY4FLG · pith_short_8: WINWAZB7

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/WINWAZB763HY4FLG2T6LTUSVQF \
  | 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: b21b60643ff6cf8e1566d4fcb9d255815a141cfb19eaa80a1238dcfe9a4a3656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c831d600237de03984b950d7bafbb12980ba086f4c0081c4e39ce7ba6d8348",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-17T06:48:19Z",
    "title_canon_sha256": "33742f561a64bc054c541582affa3c7ef0332a7f9aac8b6e5e49fd71a4438fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06071",
    "kind": "arxiv",
    "version": 1
  }
}