Pith Number

pith:E2VX24HQ

pith:2026:E2VX24HQBINIQT7ZDFGW2BXUX6

not attested not anchored not stored refs pending

$q$-Difference Equations for two classes of Pattern Avoiding Permutations

Paul Zinn-Justin

arxiv:2608.09078 v1 · 2026-08-10 · 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{E2VX24HQBINIQT7ZDFGW2BXUX6}

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	2026-08-11T02:21:44.973898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ab7d70f00a1a884ff9194d6d06f4bf9ae310bf86461d89f5f6357eee800ecc

Aliases

arxiv: 2608.09078 · arxiv_version: 2608.09078v1 · doi: 10.48550/arxiv.2608.09078 · pith_short_12: E2VX24HQBINI · pith_short_16: E2VX24HQBINIQT7Z · pith_short_8: E2VX24HQ

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/E2VX24HQBINIQT7ZDFGW2BXUX6 \
  | 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: 26ab7d70f00a1a884ff9194d6d06f4bf9ae310bf86461d89f5f6357eee800ecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd9fae963f5fd75901d5afa9f89394af161a176565479b8dbc4a9f2454c67f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-10T03:27:07Z",
    "title_canon_sha256": "cf9d8852a36fedfd72339172af6105fe99bf8d85c81401e2af0f9f88b557e137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09078",
    "kind": "arxiv",
    "version": 1
  }
}