Pith Number

pith:UPHHLYQ6

pith:2014:UPHHLYQ6ANRMQAYPL5VWVHUSVT

not attested not anchored not stored refs pending

Uniform Estimates for Averages of Order Statistics of Matrices

Joscha Prochno, Markus Passenbrunner, Richard Lechner

arxiv:1411.6879 v1 · 2014-11-25 · 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{UPHHLYQ6ANRMQAYPL5VWVHUSVT}

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	2026-05-18T00:04:32.955069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ce75e21e0362c8030f5f6b6a9e92acca5ef8e9079612cbfed4a71a25131955

Aliases

arxiv: 1411.6879 · arxiv_version: 1411.6879v1 · doi: 10.48550/arxiv.1411.6879 · pith_short_12: UPHHLYQ6ANRM · pith_short_16: UPHHLYQ6ANRMQAYP · pith_short_8: UPHHLYQ6

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/UPHHLYQ6ANRMQAYPL5VWVHUSVT \
  | 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: a3ce75e21e0362c8030f5f6b6a9e92acca5ef8e9079612cbfed4a71a25131955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c5e0ad11bcda8050e2d07b5be89e0d64774308093ecc7c919a372fd7e56e132",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-25T14:35:09Z",
    "title_canon_sha256": "bc244671b962722efaa2d9eecc5cccb2fe8e8019f8be0fb835f2011f64f402ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6879",
    "kind": "arxiv",
    "version": 1
  }
}