Pith Number

pith:MA727KXW

pith:2015:MA727KXWVVJPWMBHH7ZASXNESY

not attested not anchored not stored refs pending

Thermodynamics of firms' growth

Alberto Hernando, Angelo Plastino, Aurelio Fernandez-Bariviera, Eduardo Zambrano, Ricardo Hernando

arxiv:1504.07666 v1 · 2015-04-28 · nlin.AO · physics.soc-ph · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MA727KXWVVJPWMBHH7ZASXNESY}

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	2026-05-18T02:17:32.619685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

603fafaaf6ad52fb30273ff2095da4962aa595d505321d709a543a029dcf1da0

Aliases

arxiv: 1504.07666 · arxiv_version: 1504.07666v1 · doi: 10.48550/arxiv.1504.07666 · pith_short_12: MA727KXWVVJP · pith_short_16: MA727KXWVVJPWMBH · pith_short_8: MA727KXW

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/MA727KXWVVJPWMBHH7ZASXNESY \
  | 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: 603fafaaf6ad52fb30273ff2095da4962aa595d505321d709a543a029dcf1da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0e083adb18a6bedf3de395fa38e56e9d0dfada4a3cb8d643114d7be46a19ba",
    "cross_cats_sorted": [
      "physics.soc-ph",
      "q-fin.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2015-04-28T21:44:59Z",
    "title_canon_sha256": "c1fa757176497a26840e6a5a71f8a33b889b682c687687a73f487f2bf47547e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07666",
    "kind": "arxiv",
    "version": 1
  }
}