Pith Number

pith:MXTG4A53

pith:2012:MXTG4A5344XUUW5MLBZIEE5OTX

not attested not anchored not stored refs pending

A Necessary and Sufficient Condition for Edge Universality of Wigner matrices

Ji Oon Lee, Jun Yin

arxiv:1206.2251 v2 · 2012-06-11 · 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{MXTG4A5344XUUW5MLBZIEE5OTX}

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	2026-05-18T02:29:32.606632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e66e03bbe72f4a5bac58728213ae9dffc9365970c93c8169e0bab0b37fd5a3

Aliases

arxiv: 1206.2251 · arxiv_version: 1206.2251v2 · doi: 10.48550/arxiv.1206.2251 · pith_short_12: MXTG4A5344XU · pith_short_16: MXTG4A5344XUUW5M · pith_short_8: MXTG4A53

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/MXTG4A5344XUUW5MLBZIEE5OTX \
  | 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: 65e66e03bbe72f4a5bac58728213ae9dffc9365970c93c8169e0bab0b37fd5a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "772bb4fc4e4013a1e5405c60e06d0bb974ce865ce8f6a0cb47f3d475e3d53d90",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-11T15:18:58Z",
    "title_canon_sha256": "1e4b2a30eb21756e151372bc1e7af3dc0556f7399a0546b8c2ba0b2458105cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2251",
    "kind": "arxiv",
    "version": 2
  }
}