Pith Number

pith:7QGTBNR7

pith:1998:7QGTBNR7THUBFP2TP2BM2E22CG

not attested not anchored not stored refs pending

Modular Transformations, Order-Chaos Transitions and Pseudo-Random Number Generation

Antonio Bonelli, Stefano Ruffo

arxiv:chao-dyn/9808008 v1 · 1998-08-07 · chao-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QGTBNR7THUBFP2TP2BM2E22CG}

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	2026-05-18T01:40:11.584651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0d30b63f99e812bf537e82cd135a11a008e53c98f7cf9e2524b5a27dbe5b05

Aliases

arxiv: chao-dyn/9808008 · arxiv_version: chao-dyn/9808008v1 · doi: 10.48550/arxiv.chao-dyn/9808008 · pith_short_12: 7QGTBNR7THUB · pith_short_16: 7QGTBNR7THUBFP2T · pith_short_8: 7QGTBNR7

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/7QGTBNR7THUBFP2TP2BM2E22CG \
  | 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: fc0d30b63f99e812bf537e82cd135a11a008e53c98f7cf9e2524b5a27dbe5b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48d52573f0b45d44ed565d3136d9481c0d92c5445030db34e1995c2e7d893d7",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1998-08-07T11:45:02Z",
    "title_canon_sha256": "a1d2ef3a475db11c182b70d9ec88ab39582fd2f0d98d6b93209559c0dc2f90ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9808008",
    "kind": "arxiv",
    "version": 1
  }
}