Pith Number

pith:QMU3VJV7

pith:2016:QMU3VJV7Z6PGAOZ2PV5KYC2OVK

not attested not anchored not stored refs pending

Limit theorems for eigenvectors of the normalized Laplacian for random graphs

Carey E. Priebe, Minh Tang

arxiv:1607.08601 v1 · 2016-07-28 · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMU3VJV7Z6PGAOZ2PV5KYC2OVK}

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	2026-05-18T01:10:18.827498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8329baa6bfcf9e603b3a7d7aac0b4eaaa414ee0848599308cf21ea7a4d10a170

Aliases

arxiv: 1607.08601 · arxiv_version: 1607.08601v1 · doi: 10.48550/arxiv.1607.08601 · pith_short_12: QMU3VJV7Z6PG · pith_short_16: QMU3VJV7Z6PGAOZ2 · pith_short_8: QMU3VJV7

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/QMU3VJV7Z6PGAOZ2PV5KYC2OVK \
  | 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: 8329baa6bfcf9e603b3a7d7aac0b4eaaa414ee0848599308cf21ea7a4d10a170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b4259851e50e1a72d1cf8adb044f1ab3bc5925512492cf450ab36cb88be769",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-07-28T19:56:43Z",
    "title_canon_sha256": "e816cf9d007c56be6900d4250637649bf3a85765b23350fd5d12afafb1aef826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08601",
    "kind": "arxiv",
    "version": 1
  }
}