Pith Number

pith:D72QE43C

pith:2017:D72QE43CLILTZBJWM4BKXY7OW5

not attested not anchored not stored refs pending

A Note on the Expected Length of the Longest Common Subsequences of two i.i.d. Random Permutations

Chen Xu, Christian Houdr\'e

arxiv:1703.07691 v2 · 2017-03-22 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D72QE43CLILTZBJWM4BKXY7OW5}

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	2026-05-18T00:14:22.719501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ff50273625a173c85366702abe3eeb75919cd09124e8be95b86b106680d2c5d

Aliases

arxiv: 1703.07691 · arxiv_version: 1703.07691v2 · doi: 10.48550/arxiv.1703.07691 · pith_short_12: D72QE43CLILT · pith_short_16: D72QE43CLILTZBJW · pith_short_8: D72QE43C

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/D72QE43CLILTZBJWM4BKXY7OW5 \
  | 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: 1ff50273625a173c85366702abe3eeb75919cd09124e8be95b86b106680d2c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36524fa7b659fb0f781d16cba197c848428ad3a6013e2fc648de80283ea2ff0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-22T14:52:51Z",
    "title_canon_sha256": "e0d9b179ab50e7413217a27c3526281038d58209b82713aac0d490e79e428a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07691",
    "kind": "arxiv",
    "version": 2
  }
}