Pith Number

pith:JJTU4TOK

pith:2011:JJTU4TOKOVKLAS6D4AHXMVH4LK

not attested not anchored not stored refs pending

The Isotropic Semicircle Law and Deformation of Wigner Matrices

Antti Knowles, Jun Yin

arxiv:1110.6449 v2 · 2011-10-28 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJTU4TOKOVKLAS6D4AHXMVH4LK}

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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.

Cited by

1 paper in Pith

Dimension-Free Saddle-Point Escape in Muon

Receipt and verification

First computed	2026-05-18T03:55:12.230079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a674e4dca7554b04bc3e00f7654fc5ab691f5123b4ddb7a46dd61cc9583161b

Aliases

arxiv: 1110.6449 · arxiv_version: 1110.6449v2 · doi: 10.48550/arxiv.1110.6449 · pith_short_12: JJTU4TOKOVKL · pith_short_16: JJTU4TOKOVKLAS6D · pith_short_8: JJTU4TOK

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/JJTU4TOKOVKLAS6D4AHXMVH4LK \
  | 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: 4a674e4dca7554b04bc3e00f7654fc5ab691f5123b4ddb7a46dd61cc9583161b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920258cbef08ad0d6cd102432e41372c6efc0936c642d11fa679b067d2088ee8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-28T20:02:15Z",
    "title_canon_sha256": "e26a18989763fa30016b8e9ab61ca45e1df4f888c9b90df42c7d6e3b9da4ebb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6449",
    "kind": "arxiv",
    "version": 2
  }
}