Pith Number

pith:SUMOXHAK

pith:2015:SUMOXHAKD4VUKBN3OSQV3OCIT3

not attested not anchored not stored refs pending

Spectral Statistics of Sparse Random Graphs with a General Degree Distribution

Ben Adlam, Ziliang Che

arxiv:1509.03368 v1 · 2015-09-11 · 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{SUMOXHAKD4VUKBN3OSQV3OCIT3}

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

Universality of the least singular value for the sum of random matrices

Receipt and verification

First computed	2026-05-18T01:33:23.490750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9518eb9c0a1f2b4505bb74a15db8489eee1b37c7a60da1980bac5ae177eebb09

Aliases

arxiv: 1509.03368 · arxiv_version: 1509.03368v1 · doi: 10.48550/arxiv.1509.03368 · pith_short_12: SUMOXHAKD4VU · pith_short_16: SUMOXHAKD4VUKBN3 · pith_short_8: SUMOXHAK

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/SUMOXHAKD4VUKBN3OSQV3OCIT3 \
  | 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: 9518eb9c0a1f2b4505bb74a15db8489eee1b37c7a60da1980bac5ae177eebb09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe965a908c2219d113201de22565bda86ec7d50b21cfbc2ca808f59e75bd7f0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-11T00:55:45Z",
    "title_canon_sha256": "75f1742d2d0d2d950498a0e04df9937fe953ba2950625c40872d4223c5ccbd5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03368",
    "kind": "arxiv",
    "version": 1
  }
}