Pith Number

pith:ZNIH7ZEY

pith:2013:ZNIH7ZEY5KUEAXXWXY2Z2HHT6Q

not attested not anchored not stored refs pending

Random Market Models with an H-Theorem

Elyas Shivanian, Jose-Luis Lopez, Ricardo Lopez-Ruiz

arxiv:1307.2169 v3 · 2013-07-08 · q-fin.TR · cs.GT · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNIH7ZEY5KUEAXXWXY2Z2HHT6Q}

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	2026-05-18T02:46:39.412833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb507fe498eaa8405ef6be359d1cf3f41c43133a68c81895637dd6663fda077e

Aliases

arxiv: 1307.2169 · arxiv_version: 1307.2169v3 · doi: 10.48550/arxiv.1307.2169 · pith_short_12: ZNIH7ZEY5KUE · pith_short_16: ZNIH7ZEY5KUEAXXW · pith_short_8: ZNIH7ZEY

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/ZNIH7ZEY5KUEAXXWXY2Z2HHT6Q \
  | 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: cb507fe498eaa8405ef6be359d1cf3f41c43133a68c81895637dd6663fda077e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b7871aa1b9444a4a1555a42fed86249ab510245dbe230a29e97ba21d8fe1f3",
    "cross_cats_sorted": [
      "cs.GT",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2013-07-08T17:09:11Z",
    "title_canon_sha256": "f95dc43ecd1a94415b659d5cd7e8b5bd35eacc879066c64f7308ecc18da75eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2169",
    "kind": "arxiv",
    "version": 3
  }
}