Pith Number

pith:TKWP23F5

pith:2011:TKWP23F5ESMRBOTWRAZNPSWXD6

not attested not anchored not stored refs pending

Statistical ensembles for money and debt

Andrea Lionetto, Leonardo Bargigli, Michele Longo, Stefano Viaggiu

arxiv:1109.0891 v3 · 2011-09-02 · q-fin.GN · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKWP23F5ESMRBOTWRAZNPSWXD6}

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	2026-05-18T03:51:47.290012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aacfd6cbd249910ba768832d7cad71fbd13312677663849962d4c85c583df72

Aliases

arxiv: 1109.0891 · arxiv_version: 1109.0891v3 · doi: 10.48550/arxiv.1109.0891 · pith_short_12: TKWP23F5ESMR · pith_short_16: TKWP23F5ESMRBOTW · pith_short_8: TKWP23F5

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/TKWP23F5ESMRBOTWRAZNPSWXD6 \
  | 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: 9aacfd6cbd249910ba768832d7cad71fbd13312677663849962d4c85c583df72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6050b724a5d986fa3d11398fb1ec04261d32221314bfaafbc2c8f33b22cd52f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2011-09-02T12:06:58Z",
    "title_canon_sha256": "0b159822abf724168f6270444d052de85149eccb4d23c1ee3231daf8b1fa0f23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0891",
    "kind": "arxiv",
    "version": 3
  }
}