Pith Number

pith:ECSEVNFE

pith:2022:ECSEVNFE6VMURBXL2JXJZ3BKN5

not attested not anchored not stored refs pending

Edge Universality of Sparse Random Matrices

Horng-Tzer Yau, Jiaoyang Huang

arxiv:2206.06580 v2 · 2022-06-14 · math.PR · math-ph · math.CO · 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{ECSEVNFE6VMURBXL2JXJZ3BKN5}

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.

Cited by

1 paper in Pith

Local laws and spectral properties of deformed sparse random matrices

Receipt and verification

First computed	2026-07-05T06:06:53.525778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a44ab4a4f5594886ebd26e9cec2a6f5a5a7fdf4db0151712eb1b6a368a5965

Aliases

arxiv: 2206.06580 · arxiv_version: 2206.06580v2 · doi: 10.48550/arxiv.2206.06580 · pith_short_12: ECSEVNFE6VMU · pith_short_16: ECSEVNFE6VMURBXL · pith_short_8: ECSEVNFE

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/ECSEVNFE6VMURBXL2JXJZ3BKN5 \
  | 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: 20a44ab4a4f5594886ebd26e9cec2a6f5a5a7fdf4db0151712eb1b6a368a5965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "907862ae03f78d00cf3f90d6da62977c9b75526de9ed5bce5d4022039a062b09",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-06-14T03:46:00Z",
    "title_canon_sha256": "b03ec26d0645d6bed68f18c493626b4bc69cfabd8972ac61b19d56734512fccb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.06580",
    "kind": "arxiv",
    "version": 2
  }
}