Pith Number

pith:QOKQH7PG

pith:2013:QOKQH7PG2O7TKQPMM5SHV7K2CB

not attested not anchored not stored refs pending

Multiple orthogonal polynomials associated with an exponential cubic weight

Galina Filipuk, Lun Zhang, Walter Van Assche

arxiv:1306.3835 v2 · 2013-06-17 · 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{QOKQH7PG2O7TKQPMM5SHV7K2CB}

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	2026-05-18T02:27:58.919716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839503fde6d3bf3541ec67647afd5a1071864a50754c16fcf86bc28fac2c6f01

Aliases

arxiv: 1306.3835 · arxiv_version: 1306.3835v2 · doi: 10.48550/arxiv.1306.3835 · pith_short_12: QOKQH7PG2O7T · pith_short_16: QOKQH7PG2O7TKQPM · pith_short_8: QOKQH7PG

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/QOKQH7PG2O7TKQPMM5SHV7K2CB \
  | 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: 839503fde6d3bf3541ec67647afd5a1071864a50754c16fcf86bc28fac2c6f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b67c7a1e9da7be9899714bf9ed76db1c73788c15f1fdd30ebad21144824d23d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-17T12:34:44Z",
    "title_canon_sha256": "7310c5ee2ab00efaee64a3b49b73ed099d26c13c4d501834aaec34b3c5b3ebdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3835",
    "kind": "arxiv",
    "version": 2
  }
}