Pith Number

pith:RGVNI2FT

pith:2010:RGVNI2FTDVK2XHVVXO6FRLL3D4

not attested not anchored not stored refs pending

Positive Lyapunov exponent by a random perturbation

Mikko Stenlund, Zeng Lian

arxiv:1012.4303 v1 · 2010-12-20 · math.DS · math-ph · math.MP · 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{RGVNI2FTDVK2XHVVXO6FRLL3D4}

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	2026-05-18T03:44:24.734388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89aad468b31d55ab9eb5bbbc58ad7b1f3261c2e007115bc90b6283b6629670c3

Aliases

arxiv: 1012.4303 · arxiv_version: 1012.4303v1 · doi: 10.48550/arxiv.1012.4303 · pith_short_12: RGVNI2FTDVK2 · pith_short_16: RGVNI2FTDVK2XHVV · pith_short_8: RGVNI2FT

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/RGVNI2FTDVK2XHVVXO6FRLL3D4 \
  | 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: 89aad468b31d55ab9eb5bbbc58ad7b1f3261c2e007115bc90b6283b6629670c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12a8f6962895fd97fb3bca60e7cb40b88ca3b87b5e26d00341b43d233a3c69c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-20T12:26:30Z",
    "title_canon_sha256": "90bc8ac6f7490e356f3ef1e595860df7ed99670facb4b94bb648b93e4e248408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4303",
    "kind": "arxiv",
    "version": 1
  }
}