Pith Number

pith:MUHLZ72G

pith:2019:MUHLZ72GJRORJLFM7ZYKPIJPKX

not attested not anchored not stored refs pending

Finite term relations for the exponential orthogonal polynomials

Bjorn Gustafsson, Mihai Putinar

arxiv:1902.00959 v1 · 2019-02-03 · math.SP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUHLZ72GJRORJLFM7ZYKPIJPKX}

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	2026-05-17T23:54:51.738440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650ebcff464c5d14acacfe70a7a12f55d706ca6fe6969d0a6ae06f8245151851

Aliases

arxiv: 1902.00959 · arxiv_version: 1902.00959v1 · doi: 10.48550/arxiv.1902.00959 · pith_short_12: MUHLZ72GJROR · pith_short_16: MUHLZ72GJRORJLFM · pith_short_8: MUHLZ72G

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/MUHLZ72GJRORJLFM7ZYKPIJPKX \
  | 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: 650ebcff464c5d14acacfe70a7a12f55d706ca6fe6969d0a6ae06f8245151851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7edb47688d1bbdc5c75338fee6181f4dd937672f2ff179bef70bab497e5bb4d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-02-03T19:41:09Z",
    "title_canon_sha256": "2c07f3d380f6dcda8fae5f283238caf2afdfed3500323e84e19062430a0186a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00959",
    "kind": "arxiv",
    "version": 1
  }
}