Pith Number

pith:TZZGLM4M

pith:2009:TZZGLM4MEHWVJTJFUSXY5QJENI

not attested not anchored not stored refs pending

Perturbation theory in a pure exchange non-equilibrium economy

Samuel E. Vazquez, Simone Severini

arxiv:0904.1402 v1 · 2009-04-08 · q-fin.TR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZZGLM4MEHWVJTJFUSXY5QJENI}

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	2026-05-18T02:14:06.855829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e7265b38c21ed54cd25a4af8ec1246a2621848248f3a3b3318085b29dd6f35f

Aliases

arxiv: 0904.1402 · arxiv_version: 0904.1402v1 · doi: 10.48550/arxiv.0904.1402 · pith_short_12: TZZGLM4MEHWV · pith_short_16: TZZGLM4MEHWVJTJF · pith_short_8: TZZGLM4M

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/TZZGLM4MEHWVJTJFUSXY5QJENI \
  | 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: 9e7265b38c21ed54cd25a4af8ec1246a2621848248f3a3b3318085b29dd6f35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4d09ffa90ac2efa61be7aebc99ee71511c7c3222f3d8c3b85b2fccde9f4462",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2009-04-08T18:37:07Z",
    "title_canon_sha256": "f9d997dee9ed0b452e1e1f87c50c90297f208f59b807a7dd4a31c27e4b13984a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1402",
    "kind": "arxiv",
    "version": 1
  }
}