Pith Number

pith:LBXTKANI

pith:2013:LBXTKANIDTRVYNGKLUHLUMZFLW

not attested not anchored not stored refs pending

Approximation of high quantiles from intermediate quantiles

Cees de Valk

arxiv:1307.6501 v4 · 2013-07-24 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBXTKANIDTRVYNGKLUHLUMZFLW}

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	2026-05-18T00:50:13.891112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

586f3501a81ce35c34ca5d0eba33255dac03e958cb4fa209678a3d656e6b0e5b

Aliases

arxiv: 1307.6501 · arxiv_version: 1307.6501v4 · doi: 10.48550/arxiv.1307.6501 · pith_short_12: LBXTKANIDTRV · pith_short_16: LBXTKANIDTRVYNGK · pith_short_8: LBXTKANI

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/LBXTKANIDTRVYNGKLUHLUMZFLW \
  | 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: 586f3501a81ce35c34ca5d0eba33255dac03e958cb4fa209678a3d656e6b0e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d694e7314a40fca27d4e8aeaa86bca8dc682bbc79eeaebd7b45611852d70bcee",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-07-24T17:26:44Z",
    "title_canon_sha256": "f8aced9aed5291c21729c159a22e7fa6637d7e07b00e8cb3e68903cd7df98950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6501",
    "kind": "arxiv",
    "version": 4
  }
}