Pith Number

pith:Y4C36ILH

pith:2009:Y4C36ILHSZOTHVZ36JEBTOC5WI

not attested not anchored not stored refs pending

Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials

A. Martinez-Finkelshtein, E. A. Rakhmanov

arxiv:0902.0193 v3 · 2009-02-02 · 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{Y4C36ILHSZOTHVZ36JEBTOC5WI}

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	2026-05-18T04:41:44.972994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c705bf2167965d33d73bf24819b85db206960c819e6589772418c36b9c5dc6fa

Aliases

arxiv: 0902.0193 · arxiv_version: 0902.0193v3 · doi: 10.48550/arxiv.0902.0193 · pith_short_12: Y4C36ILHSZOT · pith_short_16: Y4C36ILHSZOTHVZ3 · pith_short_8: Y4C36ILH

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/Y4C36ILHSZOTHVZ36JEBTOC5WI \
  | 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: c705bf2167965d33d73bf24819b85db206960c819e6589772418c36b9c5dc6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6cae942493ceb7cca397387bb1cdddef685b12a0db2dc59e5b5300c2ff39e8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-02-02T03:36:49Z",
    "title_canon_sha256": "37225185f3d1a8aa4dd8654d8405768b479ad55b459e31105b108587ffb27f1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0193",
    "kind": "arxiv",
    "version": 3
  }
}