Pith Number

pith:TUYQPLQD

pith:2016:TUYQPLQDOQLP7C6OJSZZ7FM7CD

not attested not anchored not stored refs pending

Orthonormal polynomial expansions and lognormal sum densities

Patrick J. Laub, Pierre-Olivier Goffard, S{\o}ren Asmussen

arxiv:1601.01763 v1 · 2016-01-08 · 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{TUYQPLQDOQLP7C6OJSZZ7FM7CD}

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	2026-05-18T01:23:11.364960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3107ae037416ff8bce4cb39f959f10e71a55b5334c6e5835adc655bbd6bdb3

Aliases

arxiv: 1601.01763 · arxiv_version: 1601.01763v1 · doi: 10.48550/arxiv.1601.01763 · pith_short_12: TUYQPLQDOQLP · pith_short_16: TUYQPLQDOQLP7C6O · pith_short_8: TUYQPLQD

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/TUYQPLQDOQLP7C6OJSZZ7FM7CD \
  | 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: 9d3107ae037416ff8bce4cb39f959f10e71a55b5334c6e5835adc655bbd6bdb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29663f7840ab0b2a8590c3f28ba70bf0a0ac1a6795f4aa5125b1cfb7d70e6969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-08T03:41:10Z",
    "title_canon_sha256": "be115b74ad132700586ed196768dd7a71f9a1e5bbf66696c3ed7e306306bff9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01763",
    "kind": "arxiv",
    "version": 1
  }
}