Pith Number

pith:4RPV5EY5

pith:2010:4RPV5EY5PSVISBIA5XIADJJEHJ

not attested not anchored not stored refs pending

Predicted and Verified Deviation from Zipf's Law in Growing Social Networks

Didier Sornette, Qunzhi Zhang

arxiv:1007.2650 v1 · 2010-07-15 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RPV5EY5PSVISBIA5XIADJJEHJ}

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	2026-05-18T02:06:21.473536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45f5e931d7caa890500edd001a5243a586d9a219027a999994d144c613f5ef6

Aliases

arxiv: 1007.2650 · arxiv_version: 1007.2650v1 · doi: 10.48550/arxiv.1007.2650 · pith_short_12: 4RPV5EY5PSVI · pith_short_16: 4RPV5EY5PSVISBIA · pith_short_8: 4RPV5EY5

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/4RPV5EY5PSVISBIA5XIADJJEHJ \
  | 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: e45f5e931d7caa890500edd001a5243a586d9a219027a999994d144c613f5ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a136a31014297831b2e75273cf3b1fbac259a6657ff8664fe343f419841f43ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-07-15T20:31:28Z",
    "title_canon_sha256": "7a55d0693e41af6e2dfd1f5499ea5316ed6c7578cb43cd26f841599cb4c5df3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2650",
    "kind": "arxiv",
    "version": 1
  }
}