Pith Number

pith:3DBAMXNB

pith:2018:3DBAMXNBH7X2CP4ZZGPNDRM7SM

not attested not anchored not stored refs pending

Proof of the Weak Local Law for Wigner Matrices using Resolvent Expansions

Vlad Margarint

arxiv:1808.07092 v1 · 2018-08-21 · 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{3DBAMXNBH7X2CP4ZZGPNDRM7SM}

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	2026-05-18T00:07:31.950373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8c2065da13fefa13f99c99ed1c59f93040c5614acbb0398b49a1756533d9b0b

Aliases

arxiv: 1808.07092 · arxiv_version: 1808.07092v1 · doi: 10.48550/arxiv.1808.07092 · pith_short_12: 3DBAMXNBH7X2 · pith_short_16: 3DBAMXNBH7X2CP4Z · pith_short_8: 3DBAMXNB

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/3DBAMXNBH7X2CP4ZZGPNDRM7SM \
  | 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: d8c2065da13fefa13f99c99ed1c59f93040c5614acbb0398b49a1756533d9b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97a838193be27d6095931def0c6a1bb238f97627aa12ce665e1ce15da67e47f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-21T19:17:35Z",
    "title_canon_sha256": "4a0c2b96d55184ca5217f4e6cea20269206a0f1d5d1eb12595fcfabdc2ce9343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07092",
    "kind": "arxiv",
    "version": 1
  }
}