Pith Number

pith:EI5AFH5P

pith:2003:EI5AFH5PIONLUWX6TN7MQ7BIQE

not attested not anchored not stored refs pending

Shannon information, LMC complexity and Renyi entropies: a straightforward approach

Ricardo Lopez-Ruiz

arxiv:nlin/0312056 v1 · 2003-12-22 · nlin.AO · cond-mat.stat-mech · cs.IT · math.IT · nlin.CD · physics.comp-ph · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EI5AFH5PIONLUWX6TN7MQ7BIQE}

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	2026-05-18T01:05:21.899853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

223a029faf439aba5afe9b7ec87c28812161d8495ef1b32e9ec9adb0f2f2663f

Aliases

arxiv: nlin/0312056 · arxiv_version: nlin/0312056v1 · doi: 10.48550/arxiv.nlin/0312056 · pith_short_12: EI5AFH5PIONL · pith_short_16: EI5AFH5PIONLUWX6 · pith_short_8: EI5AFH5P

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/EI5AFH5PIONLUWX6TN7MQ7BIQE \
  | 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: 223a029faf439aba5afe9b7ec87c28812161d8495ef1b32e9ec9adb0f2f2663f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0575938d33c6291402fcb734281b956401597b21eaceb52962cc0918e5747df",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "math.IT",
      "nlin.CD",
      "physics.comp-ph",
      "q-bio.QM"
    ],
    "license": "",
    "primary_cat": "nlin.AO",
    "submitted_at": "2003-12-22T17:30:42Z",
    "title_canon_sha256": "c7dab6f3865bd0191a81bfe1c9b4e61eb68f9e9d9b7ffbdb4d255ba0515c1233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0312056",
    "kind": "arxiv",
    "version": 1
  }
}