Pith Number

pith:ZNNLMUFC

pith:2003:ZNNLMUFCPKBBRDXS6TWE3CTWZP

not attested not anchored not stored refs pending

Computation of the entropy of polynomials orthogonal on an interval

A. Martinez-Finkelshtein, J. Sanchez-Lara, J. S. Dehesa, V. Buyarov

arxiv:math/0310238 v2 · 2003-10-16 · math.NA · cs.NA · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNNLMUFCPKBBRDXS6TWE3CTWZP}

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	2026-06-03T22:06:15.287565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5ab650a27a82188ef2f4ec4d8a76cbc16516e9b3ddf17737d8001a8d6195ed

Aliases

arxiv: math/0310238 · arxiv_version: math/0310238v2 · doi: 10.48550/arxiv.math/0310238 · pith_short_12: ZNNLMUFCPKBB · pith_short_16: ZNNLMUFCPKBBRDXS · pith_short_8: ZNNLMUFC

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/ZNNLMUFCPKBBRDXS6TWE3CTWZP \
  | 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: cb5ab650a27a82188ef2f4ec4d8a76cbc16516e9b3ddf17737d8001a8d6195ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a016e650e3d8d42c4f5ee9a4b6075b224f48f222807390763a8808d8df61ef1",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2003-10-16T08:05:49Z",
    "title_canon_sha256": "c0547d073727c32a0f98ea6805309105b168bd0ff5049c37b7f0691e78f0fa29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310238",
    "kind": "arxiv",
    "version": 2
  }
}