Pith Number

pith:JQY6T73P

pith:2010:JQY6T73PPEFEIKHJC6JFOZF7GC

not attested not anchored not stored refs pending

Entropy Formulas For Dynamical Systems With Mistakes

Jerome Rousseau, Paulo Varandas, Yun Zhao

arxiv:1011.1115 v1 · 2010-11-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQY6T73PPEFEIKHJC6JFOZF7GC}

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	2026-05-18T04:37:01.979342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c31e9ff6f790a4428e917925764bf308b3952cbb240b7624ba77d095b0be93f

Aliases

arxiv: 1011.1115 · arxiv_version: 1011.1115v1 · doi: 10.48550/arxiv.1011.1115 · pith_short_12: JQY6T73PPEFE · pith_short_16: JQY6T73PPEFEIKHJ · pith_short_8: JQY6T73P

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/JQY6T73PPEFEIKHJC6JFOZF7GC \
  | 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: 4c31e9ff6f790a4428e917925764bf308b3952cbb240b7624ba77d095b0be93f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d104c4991ecb9509f79e2f1e290fa419773052d3ebd05dd551a9314eb15e83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-04T11:13:25Z",
    "title_canon_sha256": "29d5234c7b787c39b3280af97fd580601983274a2d567763d747b1d2a21a29a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1115",
    "kind": "arxiv",
    "version": 1
  }
}