Pith Number

pith:6YZAQEWF

pith:2011:6YZAQEWFU6X3K4AQLZJZ65AY4Z

not attested not anchored not stored refs pending

The Length of the Longest Increasing Subsequence of a Random Mallows Permutation

Carl Mueller, Shannon Starr

arxiv:1102.3402 v2 · 2011-02-16 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YZAQEWFU6X3K4AQLZJZ65AY4Z}

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	2026-05-18T01:32:01.732460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6320812c5a7afb570105e539f7418e658c43ff97c85a3e23d574a7d0dc140f0

Aliases

arxiv: 1102.3402 · arxiv_version: 1102.3402v2 · doi: 10.48550/arxiv.1102.3402 · pith_short_12: 6YZAQEWFU6X3 · pith_short_16: 6YZAQEWFU6X3K4AQ · pith_short_8: 6YZAQEWF

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/6YZAQEWFU6X3K4AQLZJZ65AY4Z \
  | 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: f6320812c5a7afb570105e539f7418e658c43ff97c85a3e23d574a7d0dc140f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb4aad5e8f9640f96d7a1f6ece582d11d28c675d4b9e9bcf930f9ed854bdaf07",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-16T19:04:46Z",
    "title_canon_sha256": "24a3956553e3f95069b455e2b98451475aa2a9f46221225fbfaff3f0f29529af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3402",
    "kind": "arxiv",
    "version": 2
  }
}