Pith Number

pith:GDXHM2TH

pith:2016:GDXHM2THKH4OSZZWU4JGXBE2DY

not attested not anchored not stored refs pending

Eigenvector Statistics of Sparse Random Matrices

Horng-Tzer Yau, Jiaoyang Huang, Paul Bourgade

arxiv:1609.09022 v3 · 2016-09-28 · 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{GDXHM2THKH4OSZZWU4JGXBE2DY}

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	2026-05-18T00:41:18.214026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ee766a6751f8e96736a7126b849a1e04c5936a5866114545ddae1ede2c0daa

Aliases

arxiv: 1609.09022 · arxiv_version: 1609.09022v3 · doi: 10.48550/arxiv.1609.09022 · pith_short_12: GDXHM2THKH4O · pith_short_16: GDXHM2THKH4OSZZW · pith_short_8: GDXHM2TH

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/GDXHM2THKH4OSZZWU4JGXBE2DY \
  | 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: 30ee766a6751f8e96736a7126b849a1e04c5936a5866114545ddae1ede2c0daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef5ca78cc0bbf4c1b7700d1bab725f31953194b437f8b55e7be83314e67aa02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-28T18:04:02Z",
    "title_canon_sha256": "ebf2ad28ffcfae731e713d33c0d575f007accbb32c65a983532d660f75dd4404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09022",
    "kind": "arxiv",
    "version": 3
  }
}