Pith Number

pith:JTKN3V4F

pith:2010:JTKN3V4F2SYR6IEDPST7DAD7EB

not attested not anchored not stored refs pending

Asymptotic zero distribution of multiple orthogonal polynomials associated with Macdonald functions

Lun Zhang, Pablo Rom\'an

arxiv:1003.4692 v2 · 2010-03-24 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTKN3V4F2SYR6IEDPST7DAD7EB}

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	2026-05-18T04:26:31.821952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cd4ddd785d4b11f20837ca7f1807f207740b9f854ad06ef80495802e846c57b

Aliases

arxiv: 1003.4692 · arxiv_version: 1003.4692v2 · doi: 10.48550/arxiv.1003.4692 · pith_short_12: JTKN3V4F2SYR · pith_short_16: JTKN3V4F2SYR6IED · pith_short_8: JTKN3V4F

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/JTKN3V4F2SYR6IEDPST7DAD7EB \
  | 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: 4cd4ddd785d4b11f20837ca7f1807f207740b9f854ad06ef80495802e846c57b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a97c1b54a25123956309008483c0b80b628c229534661c8acf2a611591755ba4",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-24T16:53:15Z",
    "title_canon_sha256": "5f12bf75b6f0144e9434386b31ba5b3d70988885387129d3a35b87cfda2ec15c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4692",
    "kind": "arxiv",
    "version": 2
  }
}