Pith Number

pith:QEVGTCDH

pith:2011:QEVGTCDHM5QVUXGZ4WYAG3DKX2

not attested not anchored not stored refs pending

Local Entropy Theory of a Random Dynamical System

Anthony H. Dooley, Guohua Zhang

arxiv:1106.0150 v3 · 2011-06-01 · 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{QEVGTCDHM5QVUXGZ4WYAG3DKX2}

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	2026-05-18T03:20:33.137060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

812a69886767615a5cd9e5b0036c6abe91b21c3626b33706cdc5669a1fedd2e8

Aliases

arxiv: 1106.0150 · arxiv_version: 1106.0150v3 · doi: 10.48550/arxiv.1106.0150 · pith_short_12: QEVGTCDHM5QV · pith_short_16: QEVGTCDHM5QVUXGZ · pith_short_8: QEVGTCDH

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/QEVGTCDHM5QVUXGZ4WYAG3DKX2 \
  | 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: 812a69886767615a5cd9e5b0036c6abe91b21c3626b33706cdc5669a1fedd2e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aba0d0abcdda426efc27a128e0543efcc91b3570abf78fe07f842d25356e18d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-01T12:00:46Z",
    "title_canon_sha256": "c975156e320faa86f8edbb93f38afe0a4c5e03aef55600bba27e8fc03dec0d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0150",
    "kind": "arxiv",
    "version": 3
  }
}