Pith Number

pith:USGPDBDV

pith:2019:USGPDBDVJONVHI6CORWBE2WHIX

not attested not anchored not stored refs pending

Solution of an Open Problem about Two Families of Orthogonal Polynomials

Walter Van Assche

arxiv:1901.09332 v1 · 2019-01-27 · math.CA · math-ph · 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{USGPDBDVJONVHI6CORWBE2WHIX}

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	2026-05-17T23:55:25.099270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a48cf184754b9b53a3c2746c126ac745cf4759a48a98cd4c74a3fca0b03d7447

Aliases

arxiv: 1901.09332 · arxiv_version: 1901.09332v1 · doi: 10.48550/arxiv.1901.09332 · pith_short_12: USGPDBDVJONV · pith_short_16: USGPDBDVJONVHI6C · pith_short_8: USGPDBDV

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/USGPDBDVJONVHI6CORWBE2WHIX \
  | 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: a48cf184754b9b53a3c2746c126ac745cf4759a48a98cd4c74a3fca0b03d7447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73076a1bcb9f10ca4fcb6387ffdc183aea38f82040f38f1237ce60a6656d5eb5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-27T07:31:14Z",
    "title_canon_sha256": "c53259eb6124444f95e4febace25c908cb757376a4214a2ce82c78ebde9cee5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09332",
    "kind": "arxiv",
    "version": 1
  }
}