Pith Number

pith:SM2LZUGH

pith:2010:SM2LZUGHSTJSFKEO23YXX7T46O

not attested not anchored not stored refs pending

A Spectral Approach to Consecutive Pattern-Avoiding Permutations

Peter Perry, Richard Ehrenborg, Sergey Kitaev

arxiv:1009.2119 v2 · 2010-09-10 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SM2LZUGHSTJSFKEO23YXX7T46O}

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	2026-05-18T04:11:08.853053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9334bcd0c794d322a88ed6f17bfe7cf3bdf61d097bfd82e556c705fb86ac7870

Aliases

arxiv: 1009.2119 · arxiv_version: 1009.2119v2 · doi: 10.48550/arxiv.1009.2119 · pith_short_12: SM2LZUGHSTJS · pith_short_16: SM2LZUGHSTJSFKEO · pith_short_8: SM2LZUGH

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/SM2LZUGHSTJSFKEO23YXX7T46O \
  | 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: 9334bcd0c794d322a88ed6f17bfe7cf3bdf61d097bfd82e556c705fb86ac7870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5487470e2f83c5ee266bdcab5abf2f4f323478e3d60e71457bc0e01496f754c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-10T23:28:08Z",
    "title_canon_sha256": "b236983b1630b002c2e6aa10382c92132805773a360e91413a31c6371b2035ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2119",
    "kind": "arxiv",
    "version": 2
  }
}