Pith Number

pith:RXUNIWOK

pith:2011:RXUNIWOKUCSS652JDEESQOTYF6

not attested not anchored not stored refs pending

Monotone triangles and 312 Pattern Avoidance

Arvind Ayyer, Dominique Gouyou-Beauchamps, Robert Cori

arxiv:1101.1666 v1 · 2011-01-09 · 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{RXUNIWOKUCSS652JDEESQOTYF6}

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	2026-05-18T03:47:08.963289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8de8d459caa0a52f77491909283a782f9c8ba2db1c47981e84478f53713a47dd

Aliases

arxiv: 1101.1666 · arxiv_version: 1101.1666v1 · doi: 10.48550/arxiv.1101.1666 · pith_short_12: RXUNIWOKUCSS · pith_short_16: RXUNIWOKUCSS652J · pith_short_8: RXUNIWOK

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/RXUNIWOKUCSS652JDEESQOTYF6 \
  | 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: 8de8d459caa0a52f77491909283a782f9c8ba2db1c47981e84478f53713a47dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a30a483d61aa14e7e6a2608bd13cd7e25e3233e1be74c3fd0b1fe29e5a5aadc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-09T19:41:56Z",
    "title_canon_sha256": "b17557fff2e3991a8f656200d216990555726d9b9492803f3bbe2fe4afabc42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1666",
    "kind": "arxiv",
    "version": 1
  }
}