Pith Number

pith:GR45F5CC

pith:2012:GR45F5CCTZW6A7ZJTXI3ZLBS23

not attested not anchored not stored refs pending

Relations between allometric scalings and fluctuations in complex systems: The case of Japanese firms

Hayafumi Watanabe, Hideki Takayasu, Misako Takayasu

arxiv:1208.1188 v1 · 2012-08-06 · physics.soc-ph · physics.data-an · q-fin.ST · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GR45F5CCTZW6A7ZJTXI3ZLBS23}

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	2026-05-18T03:38:55.784908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3479d2f4429e6de07f299dd1bcac32d6d9fbb86df1ac9c1035d497d365e05671

Aliases

arxiv: 1208.1188 · arxiv_version: 1208.1188v1 · doi: 10.48550/arxiv.1208.1188 · pith_short_12: GR45F5CCTZW6 · pith_short_16: GR45F5CCTZW6A7ZJ · pith_short_8: GR45F5CC

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/GR45F5CCTZW6A7ZJTXI3ZLBS23 \
  | 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: 3479d2f4429e6de07f299dd1bcac32d6d9fbb86df1ac9c1035d497d365e05671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f83567b1363ce9adbf0fb831fd382217d5ec8ca98d3bfba0b48f848501bd15",
    "cross_cats_sorted": [
      "physics.data-an",
      "q-fin.ST",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-08-06T15:19:44Z",
    "title_canon_sha256": "43f56dbde5b4966fa00bd3a7b380895c6ec46b4f7e18e6c93531db3c78825919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1188",
    "kind": "arxiv",
    "version": 1
  }
}