Pith Number

pith:VJWPU2HO

pith:2012:VJWPU2HOZFGDH37L6ZKIRPPGRM

not attested not anchored not stored refs pending

On Finite Rank Deformations of Wigner Matrices II: Delocalized Perturbations

Alexander Soshnikov, David Renfrew

arxiv:1203.5130 v3 · 2012-03-22 · 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{VJWPU2HOZFGDH37L6ZKIRPPGRM}

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	2026-05-18T03:42:33.895958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6cfa68eec94c33efebf65488bde68b22b06ea19d5e7c24c68245e15855e40b

Aliases

arxiv: 1203.5130 · arxiv_version: 1203.5130v3 · doi: 10.48550/arxiv.1203.5130 · pith_short_12: VJWPU2HOZFGD · pith_short_16: VJWPU2HOZFGDH37L · pith_short_8: VJWPU2HO

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/VJWPU2HOZFGDH37L6ZKIRPPGRM \
  | 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: aa6cfa68eec94c33efebf65488bde68b22b06ea19d5e7c24c68245e15855e40b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee41b99c108d033ca3f18b130cb852fd4e2123f7697d7077422bd6c6944324f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-22T21:14:38Z",
    "title_canon_sha256": "aa92315e2714fd8d845d7b9dd0775968d514206901a1e1371eb316446d417532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5130",
    "kind": "arxiv",
    "version": 3
  }
}