Pith Number

pith:CWOWMNQ2

pith:2017:CWOWMNQ2GPMKB5CEVPSP3MI255

not attested not anchored not stored refs pending

Major index over descent for pattern-avoiding permutations

William J. Keith

arxiv:1707.01200 v2 · 2017-07-05 · 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{CWOWMNQ2GPMKB5CEVPSP3MI255}

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	2026-05-18T00:40:23.592886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159d66361a33d8a0f444abe4fdb11aef7050e1040547a14b808f70601db23fb3

Aliases

arxiv: 1707.01200 · arxiv_version: 1707.01200v2 · doi: 10.48550/arxiv.1707.01200 · pith_short_12: CWOWMNQ2GPMK · pith_short_16: CWOWMNQ2GPMKB5CE · pith_short_8: CWOWMNQ2

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/CWOWMNQ2GPMKB5CEVPSP3MI255 \
  | 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: 159d66361a33d8a0f444abe4fdb11aef7050e1040547a14b808f70601db23fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "665e8ca09eb698a2b8f0f2ecedef5db3a0dde3e0624af4d88b69d1c49d11ba7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-05T02:56:52Z",
    "title_canon_sha256": "49725d5607715ef8241e3b64a112ce404bca0c34a4a2f9579e020f81206adbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01200",
    "kind": "arxiv",
    "version": 2
  }
}