Pith Number

pith:4WIRNRHI

pith:2019:4WIRNRHI5DYKJ2WWGDMH3RRNRA

not attested not anchored not stored refs pending

Limit Theorems for the Length of the Longest Common Subsequence of Mallows Permutations

Ke Jin, Naya Banerjee

arxiv:1908.05246 v1 · 2019-08-14 · math.PR · 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{4WIRNRHI5DYKJ2WWGDMH3RRNRA}

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	2026-07-04T23:56:37.864474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59116c4e8e8f0a4ead630d87dc62d883fc0a5829a686919f53982b233db6d2d

Aliases

arxiv: 1908.05246 · arxiv_version: 1908.05246v1 · doi: 10.48550/arxiv.1908.05246 · pith_short_12: 4WIRNRHI5DYK · pith_short_16: 4WIRNRHI5DYKJ2WW · pith_short_8: 4WIRNRHI

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/4WIRNRHI5DYKJ2WWGDMH3RRNRA \
  | 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: e59116c4e8e8f0a4ead630d87dc62d883fc0a5829a686919f53982b233db6d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b996360aeefa8e93e3446476504939e7e464280802174cc571142f738afea45",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-14T17:12:05Z",
    "title_canon_sha256": "f5a17af5ba5eb4a3009abd54ee42d2667610d410f67a804d4e5f643d1224b31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05246",
    "kind": "arxiv",
    "version": 1
  }
}