Pith Number

pith:CGRNR4LW

pith:2017:CGRNR4LW4H5AB33WQWM6OS64YM

not attested not anchored not stored refs pending

Emergence of Scaling in Complex Substitutive Systems

Chaoming Song, Ching Jin, Dashun Wang, Geoffrey Canright, Johannes Bjelland

arxiv:1710.04562 v4 · 2017-10-12 · 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{CGRNR4LW4H5AB33WQWM6OS64YM}

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	2026-05-17T23:45:46.989236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a2d8f176e1fa00ef768599e74bdcc3002dd223657d1d5f06fef863cc7188d9

Aliases

arxiv: 1710.04562 · arxiv_version: 1710.04562v4 · doi: 10.48550/arxiv.1710.04562 · pith_short_12: CGRNR4LW4H5A · pith_short_16: CGRNR4LW4H5AB33W · pith_short_8: CGRNR4LW

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/CGRNR4LW4H5AB33WQWM6OS64YM \
  | 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: 11a2d8f176e1fa00ef768599e74bdcc3002dd223657d1d5f06fef863cc7188d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5e54a8aad6b92dc6f0377a3d7d92e5d82d2f6970628fbcb76a9c6422aacc441",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2017-10-12T15:18:36Z",
    "title_canon_sha256": "9ca3f5e9870483ea6e640b727f47d21f97c4d5814225b2bf1082b1734d6fab30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04562",
    "kind": "arxiv",
    "version": 4
  }
}