Pith Number

pith:I4CJMQPG

pith:2014:I4CJMQPG3QFFASLRRNWBHJEOVN

not attested not anchored not stored refs pending

Fixed energy universality for generalized Wigner matrices

Hong-Tzer Yau, Jun Yin, Laszlo Erdos, Paul Bourgade

arxiv:1407.5606 v3 · 2014-07-21 · 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{I4CJMQPG3QFFASLRRNWBHJEOVN}

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	2026-05-18T02:18:40.876576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47049641e6dc0a5049718b6c13a48eab7257790b7bbfd83304812d0932de5e53

Aliases

arxiv: 1407.5606 · arxiv_version: 1407.5606v3 · doi: 10.48550/arxiv.1407.5606 · pith_short_12: I4CJMQPG3QFF · pith_short_16: I4CJMQPG3QFFASLR · pith_short_8: I4CJMQPG

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/I4CJMQPG3QFFASLRRNWBHJEOVN \
  | 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: 47049641e6dc0a5049718b6c13a48eab7257790b7bbfd83304812d0932de5e53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9f0c73e301ca85cb862791d8064d0440d35723ec3a4a7170ce660070151c0d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-21T19:31:51Z",
    "title_canon_sha256": "13781452c03edde8d97381b9a324019a2bb51ee45740df6c97516907a596aed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5606",
    "kind": "arxiv",
    "version": 3
  }
}