Pith Number

pith:ZWQMEBKH

pith:2007:ZWQMEBKHRW2NQDPLVCE2WSNKCX

not attested not anchored not stored refs pending

The largest component in a subcritical random graph with a power law degree distribution

Svante Janson

arxiv:0708.4404 v2 · 2007-08-31 · 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{ZWQMEBKHRW2NQDPLVCE2WSNKCX}

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	2026-07-04T15:13:42.821745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda0c205478db4d80deba889ab49aa15ffff787f0c325975fcacb1b3ce629e24

Aliases

arxiv: 0708.4404 · arxiv_version: 0708.4404v2 · doi: 10.48550/arxiv.0708.4404 · pith_short_12: ZWQMEBKHRW2N · pith_short_16: ZWQMEBKHRW2NQDPL · pith_short_8: ZWQMEBKH

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/ZWQMEBKHRW2NQDPLVCE2WSNKCX \
  | 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: cda0c205478db4d80deba889ab49aa15ffff787f0c325975fcacb1b3ce629e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8286761f3bab1972e56b81eb06d0527856a0fb8aa8e17483083bcc02f584a1a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-08-31T18:09:53Z",
    "title_canon_sha256": "b153f91286e68bb35704d08684db552ce331b94b6ffc7cc05e4968d252bb4aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4404",
    "kind": "arxiv",
    "version": 2
  }
}