Pith Number

pith:KPDRWNED

pith:2017:KPDRWNED5JTPHZJUE2ZK2TBTNJ

not attested not anchored not stored refs pending

Markov partition and Thermodynamic Formalism for Hyperbolic Systems with Singularities

Fang Wang, Hong-Kun Zhang, Jianyu Chen

arxiv:1709.00527 v2 · 2017-09-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPDRWNED5JTPHZJUE2ZK2TBTNJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:49:17.974761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c71b3483ea66f3e53426b2ad4c336a7a64921966ed07979fdfbd57a9e32413

Aliases

arxiv: 1709.00527 · arxiv_version: 1709.00527v2 · doi: 10.48550/arxiv.1709.00527 · pith_short_12: KPDRWNED5JTP · pith_short_16: KPDRWNED5JTPHZJU · pith_short_8: KPDRWNED

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/KPDRWNED5JTPHZJUE2ZK2TBTNJ \
  | 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: 53c71b3483ea66f3e53426b2ad4c336a7a64921966ed07979fdfbd57a9e32413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae2c4a15fcf022d89f1a2ed4b58c4b1425000f3d4813b5aed707c467eb6a345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-02T03:23:57Z",
    "title_canon_sha256": "50bf7ab4bfc17f7881a5905625764c105e788d744cc32978ca8ddabb740188d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00527",
    "kind": "arxiv",
    "version": 2
  }
}