Pith Number

pith:2MWKNAVD

pith:2008:2MWKNAVDRLZBV7XS5XS4WLWI7L

not attested not anchored not stored refs pending

The Degree Sequence of a Scale-Free Random Graph Process with Hard Copying

Gao-Rong Ning, Kai-Yuan Cai, Xian-Yuan Wu

arxiv:0807.2819 v2 · 2008-07-17 · 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{2MWKNAVDRLZBV7XS5XS4WLWI7L}

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	2026-07-04T15:13:22.274384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d32ca682a38af21afef2ede5cb2ec8fac91c906583d7e42641bbe8ceb0fc84e9

Aliases

arxiv: 0807.2819 · arxiv_version: 0807.2819v2 · doi: 10.48550/arxiv.0807.2819 · pith_short_12: 2MWKNAVDRLZB · pith_short_16: 2MWKNAVDRLZBV7XS · pith_short_8: 2MWKNAVD

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/2MWKNAVDRLZBV7XS5XS4WLWI7L \
  | 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: d32ca682a38af21afef2ede5cb2ec8fac91c906583d7e42641bbe8ceb0fc84e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "773bba7222da8744768c4badb3ce14340bad8cb151be3dff2e38e9ec1a91a83c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-07-17T16:07:29Z",
    "title_canon_sha256": "b5cec2cfe1dedd9760799312f63c43b4fc08f8ffe94aaf3f1927916808d7a8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2819",
    "kind": "arxiv",
    "version": 2
  }
}