Pith Number

pith:Z5YZUR35

pith:2013:Z5YZUR35OUG4HMI5BLWNBE2NUF

not attested not anchored not stored refs pending

GUE minors, maximal Brownian functionals and longest increasing subsequences

Christian Houdr\'e, Florent Benaych-Georges (MAP5)

arxiv:1312.3301 v2 · 2013-12-11 · 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{Z5YZUR35OUG4HMI5BLWNBE2NUF}

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	2026-05-18T02:50:00.655758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf719a477d750dc3b11d0aecd0934da16fce1c44e9989dc8f8b6c9cb559182c8

Aliases

arxiv: 1312.3301 · arxiv_version: 1312.3301v2 · doi: 10.48550/arxiv.1312.3301 · pith_short_12: Z5YZUR35OUG4 · pith_short_16: Z5YZUR35OUG4HMI5 · pith_short_8: Z5YZUR35

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/Z5YZUR35OUG4HMI5BLWNBE2NUF \
  | 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: cf719a477d750dc3b11d0aecd0934da16fce1c44e9989dc8f8b6c9cb559182c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac8466b2ddc49573121be6497b03fc77e42e57592ad89a712b1e7c23068c228",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-11T20:11:20Z",
    "title_canon_sha256": "d6e1b6af3778d6d5ada8b1e1eea88c077e666ec4545d33616935c2885705dd36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3301",
    "kind": "arxiv",
    "version": 2
  }
}