Pith Number

pith:2NUFMA4E

pith:2015:2NUFMA4ETTKWPDRYFVTARMZRCJ

not attested not anchored not stored refs pending

Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials

Thorsten Neuschel, Walter Van Assche

arxiv:1509.04542 v2 · 2015-09-15 · 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{2NUFMA4ETTKWPDRYFVTARMZRCJ}

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	2026-05-18T01:19:38.595945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3685603849cd5678e382d6608b331126c4d91c6c2d8b0f591d489791a50277e

Aliases

arxiv: 1509.04542 · arxiv_version: 1509.04542v2 · doi: 10.48550/arxiv.1509.04542 · pith_short_12: 2NUFMA4ETTKW · pith_short_16: 2NUFMA4ETTKWPDRY · pith_short_8: 2NUFMA4E

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/2NUFMA4ETTKWPDRYFVTARMZRCJ \
  | 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: d3685603849cd5678e382d6608b331126c4d91c6c2d8b0f591d489791a50277e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c6434c8cbc274069cb30c8afc8095c4068fc0777781bda4e9be4fecac02511",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-15T13:34:49Z",
    "title_canon_sha256": "6c6a0e129112bf2351a3f991a7b53cdd56f8058532dbf5ce19d3e19b320a5ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04542",
    "kind": "arxiv",
    "version": 2
  }
}