Pith Number

pith:PF6YOE6H

pith:2012:PF6YOE6HW5QUPQRWPZ2Y4U7J3R

not attested not anchored not stored refs pending

A probabilistic approach to consecutive pattern avoiding in permutations

Guillem Perarnau

arxiv:1208.5366 v2 · 2012-08-27 · 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{PF6YOE6HW5QUPQRWPZ2Y4U7J3R}

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	2026-05-18T03:46:58.569677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797d8713c7b76147c2367e758e53e9dc57dda7916e1891024ededd7dbe1c849d

Aliases

arxiv: 1208.5366 · arxiv_version: 1208.5366v2 · doi: 10.48550/arxiv.1208.5366 · pith_short_12: PF6YOE6HW5QU · pith_short_16: PF6YOE6HW5QUPQRW · pith_short_8: PF6YOE6H

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/PF6YOE6HW5QUPQRWPZ2Y4U7J3R \
  | 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: 797d8713c7b76147c2367e758e53e9dc57dda7916e1891024ededd7dbe1c849d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b78994acd8c961463124f674337f8cb01e929a9bcd5dc87609219cb8d8f7d83d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-27T11:34:42Z",
    "title_canon_sha256": "18542199b1347852cb8e907a75a9832caae71818fe9addfd65c815caa632a966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5366",
    "kind": "arxiv",
    "version": 2
  }
}