Pith Number

pith:YNAC4OFQ

pith:2011:YNAC4OFQWZD6EU6FOXAR6LQUNX

not attested not anchored not stored refs pending

On Finite Rank Deformations of Wigner Matrices

Alessandro Pizzo, Alexander Soshnikov, David Renfrew

arxiv:1103.3731 v4 · 2011-03-18 · 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{YNAC4OFQWZD6EU6FOXAR6LQUNX}

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	2026-05-18T04:10:48.206800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3402e38b0b647e253c575c11f2e146dd7253994b59ff076114ed868b7fe8f93

Aliases

arxiv: 1103.3731 · arxiv_version: 1103.3731v4 · doi: 10.48550/arxiv.1103.3731 · pith_short_12: YNAC4OFQWZD6 · pith_short_16: YNAC4OFQWZD6EU6F · pith_short_8: YNAC4OFQ

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/YNAC4OFQWZD6EU6FOXAR6LQUNX \
  | 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: c3402e38b0b647e253c575c11f2e146dd7253994b59ff076114ed868b7fe8f93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f493e37272068c9d4995cd0a2078672bf6058bd77dbcb06cb4bc39d70e6fb3c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-18T23:46:37Z",
    "title_canon_sha256": "af1f8d99302e5912797605ba427eec07d15521b805fb1c8ac8a675f5a9ea23d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3731",
    "kind": "arxiv",
    "version": 4
  }
}