Pith Number

pith:FJMJ3WT2

pith:2005:FJMJ3WT2UBSQFGWJL4PH23FWY3

not attested not anchored not stored refs pending

Typical properties of optimal growth in the Von Neumann expanding model for large random economies

Andrea De Martino, Matteo Marsili

arxiv:physics/0507032 v1 · 2005-07-05 · physics.soc-ph · cond-mat.dis-nn · 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{FJMJ3WT2UBSQFGWJL4PH23FWY3}

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	2026-07-04T16:57:16.174141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a589dda7aa065029ac95f1e7d6cb6c6c5256765d3af42656c27fcea90ac5d24

Aliases

arxiv: physics/0507032 · arxiv_version: physics/0507032v1 · doi: 10.48550/arxiv.physics/0507032 · pith_short_12: FJMJ3WT2UBSQ · pith_short_16: FJMJ3WT2UBSQFGWJ · pith_short_8: FJMJ3WT2

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/FJMJ3WT2UBSQFGWJL4PH23FWY3 \
  | 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: 2a589dda7aa065029ac95f1e7d6cb6c6c5256765d3af42656c27fcea90ac5d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f488fcb7a6e36eb8fe4e3551c602e90b4d64ac2d240894497f03f128ee9088b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "q-fin.GN"
    ],
    "license": "",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2005-07-05T14:04:17Z",
    "title_canon_sha256": "bd143fe5bbc3055c6937d387f6a202c6152d79bc4a2fe674493d96fcf37c5b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0507032",
    "kind": "arxiv",
    "version": 1
  }
}