Pith Number

pith:WNGGDFUY

pith:2013:WNGGDFUYAE6US5ODAARVN5K7Z6

not attested not anchored not stored refs pending

Bounds for the Stieltjes Transform and the Density of States of Wigner Matrices

Anna Maltsev, Benjamin Schlein, Claudio Cacciapuoti

arxiv:1311.0326 v4 · 2013-11-02 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNGGDFUYAE6US5ODAARVN5K7Z6}

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	2026-05-18T02:32:12.265811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b34c619698013d4975c3002356f55fcf89cbab1c31ab40daf45d680a8e61b268

Aliases

arxiv: 1311.0326 · arxiv_version: 1311.0326v4 · doi: 10.48550/arxiv.1311.0326 · pith_short_12: WNGGDFUYAE6U · pith_short_16: WNGGDFUYAE6US5OD · pith_short_8: WNGGDFUY

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/WNGGDFUYAE6US5ODAARVN5K7Z6 \
  | 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: b34c619698013d4975c3002356f55fcf89cbab1c31ab40daf45d680a8e61b268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58fe0d203514b5494eaacc0f0ddc79a22f3b2166ee69ffddfffe65d0819a329a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-02T01:03:20Z",
    "title_canon_sha256": "91ae6413fc2907f698b6aee152182e4321c4b88cee7777774a4fe310f44fb82e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0326",
    "kind": "arxiv",
    "version": 4
  }
}