Pith Number

pith:PZVO3KHK

pith:2014:PZVO3KHKDS7Z2RUVKFQEWKAD45

not attested not anchored not stored refs pending

Ergodic and Thermodynamic Games

Rafael R. Souza

arxiv:1411.1092 v2 · 2014-11-04 · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZVO3KHKDS7Z2RUVKFQEWKAD45}

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	2026-05-17T23:53:01.728434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6aeda8ea1cbf9d469551604b2803e76015a11f0ddbb5711041a0d1f43e1a69

Aliases

arxiv: 1411.1092 · arxiv_version: 1411.1092v2 · doi: 10.48550/arxiv.1411.1092 · pith_short_12: PZVO3KHKDS7Z · pith_short_16: PZVO3KHKDS7Z2RUV · pith_short_8: PZVO3KHK

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/PZVO3KHKDS7Z2RUVKFQEWKAD45 \
  | 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: 7e6aeda8ea1cbf9d469551604b2803e76015a11f0ddbb5711041a0d1f43e1a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78f9d86e94e1b93f9f42362a52fa46cff1f32747124c4806c119701e85b3ca8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-04T21:42:10Z",
    "title_canon_sha256": "52c8c87f2406bf7509d07d440e7c1afd804ededb32ee500f1a219b322ee2c2f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1092",
    "kind": "arxiv",
    "version": 2
  }
}