Pith Number

pith:U2XSMXH7

pith:2013:U2XSMXH7OSF7IMCMGZVDF6CHRB

not attested not anchored not stored refs pending

Degree-degree dependencies in directed networks with heavy-tailed degrees

Nelly Litvak, Pim van der Hoorn

arxiv:1310.6528 v3 · 2013-10-24 · 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{U2XSMXH7OSF7IMCMGZVDF6CHRB}

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	2026-05-18T02:48:46.726330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6af265cff748bf4304c366a32f8478854484a9ed8940e55e93a3a2dfe0759d7

Aliases

arxiv: 1310.6528 · arxiv_version: 1310.6528v3 · doi: 10.48550/arxiv.1310.6528 · pith_short_12: U2XSMXH7OSF7 · pith_short_16: U2XSMXH7OSF7IMCM · pith_short_8: U2XSMXH7

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/U2XSMXH7OSF7IMCMGZVDF6CHRB \
  | 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: a6af265cff748bf4304c366a32f8478854484a9ed8940e55e93a3a2dfe0759d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655feed8fa0aab04e1cec3de4f5315daf762c50edc670dc2d0de735bc8b47e57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-24T08:46:55Z",
    "title_canon_sha256": "e90331f885967c34cfa7864c27c10b1e6caadf7a2e505dd18726f6959ae84133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6528",
    "kind": "arxiv",
    "version": 3
  }
}