Pith Number

pith:QTFACOZR

pith:2010:QTFACOZREKTHS3EZGILEFLGMOL

not attested not anchored not stored refs pending

Equilibrium distributions and relaxation times in gas-like economic models: an analytical derivation

Jose-Luis Lopez, Ricardo Lopez-Ruiz, Xavier Calbet

arxiv:1010.0208 v2 · 2010-10-01 · q-fin.GN · nlin.AO · physics.data-an · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTFACOZREKTHS3EZGILEFLGMOL}

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	2026-05-18T02:05:12.601785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84ca013b3122a6796c99321642accc72d9e6a964b2547d442c921a4574d25203

Aliases

arxiv: 1010.0208 · arxiv_version: 1010.0208v2 · doi: 10.48550/arxiv.1010.0208 · pith_short_12: QTFACOZREKTH · pith_short_16: QTFACOZREKTHS3EZ · pith_short_8: QTFACOZR

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/QTFACOZREKTHS3EZGILEFLGMOL \
  | 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: 84ca013b3122a6796c99321642accc72d9e6a964b2547d442c921a4574d25203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21788f20a05f774a06074489da8937210e6e7348544606d88b1f19e555e4e307",
    "cross_cats_sorted": [
      "nlin.AO",
      "physics.data-an",
      "q-fin.ST"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2010-10-01T17:02:23Z",
    "title_canon_sha256": "5f52676d184b31005a6d5022960bbe32fc2d54d9b9f1b9976a95575e2c07746b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0208",
    "kind": "arxiv",
    "version": 2
  }
}