Pith Number

pith:N56MMYJT

pith:2013:N56MMYJTGXSTINI7RWPJXHWOPH

not attested not anchored not stored refs pending

Duality and stationary distributions of wealth distribution models

Frank Redig, Pasquale Cirillo, Wioletta Ruszel

arxiv:1309.3916 v3 · 2013-09-16 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N56MMYJTGXSTINI7RWPJXHWOPH}

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	2026-05-18T02:57:17.667233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7cc6613335e534351f8d9e9b9ece79e0bd652022a42f85d3c287cfe1ecfae5

Aliases

arxiv: 1309.3916 · arxiv_version: 1309.3916v3 · doi: 10.48550/arxiv.1309.3916 · pith_short_12: N56MMYJTGXST · pith_short_16: N56MMYJTGXSTINI7 · pith_short_8: N56MMYJT

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/N56MMYJTGXSTINI7RWPJXHWOPH \
  | 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: 6f7cc6613335e534351f8d9e9b9ece79e0bd652022a42f85d3c287cfe1ecfae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300be81c228cdaf71cb1ab30ce6b614fe1c079c7f785287ac2a89d16daa4e642",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-16T11:51:41Z",
    "title_canon_sha256": "57027f8582f12f82d43a5fd5f9cc73c9c8a8195b5c7e6a55d2e35c6c7e559878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3916",
    "kind": "arxiv",
    "version": 3
  }
}