Pith Number

pith:WPPJTIRD

pith:2014:WPPJTIRDT2NYEDUYTRFSOY7FN6

not attested not anchored not stored refs pending

Strong asymptotics for the Pollaczek multiple orthogonal polynomials ensembles

A. I. Aptekarev, A. Martinez-Finkelshtein, G. Lopez Lagomasino

arxiv:1410.1261 v1 · 2014-10-06 · 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{WPPJTIRDT2NYEDUYTRFSOY7FN6}

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	2026-05-18T02:41:02.411936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3de99a2239e9b820e989c4b2763e56f9a2f5d24dcad9eb2d6b7242e6c1dd625

Aliases

arxiv: 1410.1261 · arxiv_version: 1410.1261v1 · doi: 10.48550/arxiv.1410.1261 · pith_short_12: WPPJTIRDT2NY · pith_short_16: WPPJTIRDT2NYEDUY · pith_short_8: WPPJTIRD

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/WPPJTIRDT2NYEDUYTRFSOY7FN6 \
  | 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: b3de99a2239e9b820e989c4b2763e56f9a2f5d24dcad9eb2d6b7242e6c1dd625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b915bb3d3593fb94f82f1e67d3cdbeeaa39705c7b648621b9d5b17e1e9a45379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-06T05:47:57Z",
    "title_canon_sha256": "63a08688bbfdf5a7ce27507157556a3373805d5dfeb72531d6ddeaf73804c492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1261",
    "kind": "arxiv",
    "version": 1
  }
}