Pith Number

pith:6PKI43UW

pith:2009:6PKI43UWXFCJFVXVAMH2SUER5I

not attested not anchored not stored refs pending

Sparse regular random graphs: Spectral density and eigenvectors

Ioana Dumitriu, Soumik Pal

arxiv:0910.5306 v5 · 2009-10-28 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PKI43UWXFCJFVXVAMH2SUER5I}

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	2026-05-18T03:43:27.559066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d48e6e96b94492d6f5030fa95091ea1b65b93455ebda4e5488dfab48c05fc4

Aliases

arxiv: 0910.5306 · arxiv_version: 0910.5306v5 · doi: 10.48550/arxiv.0910.5306 · pith_short_12: 6PKI43UWXFCJ · pith_short_16: 6PKI43UWXFCJFVXV · pith_short_8: 6PKI43UW

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/6PKI43UWXFCJFVXVAMH2SUER5I \
  | 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: f3d48e6e96b94492d6f5030fa95091ea1b65b93455ebda4e5488dfab48c05fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "409fc4514e3ff016b0861765bb3d66fadca2a49fd77e6e1a04f0ee6118e0e63e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-28T08:29:03Z",
    "title_canon_sha256": "059109057efef8311bb83f0feab927edde22189ba54f0e0dba4f4171af090285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5306",
    "kind": "arxiv",
    "version": 5
  }
}