Pith Number

pith:NB6JKSK7

pith:2011:NB6JKSK7BRYJCW5GUEZK734RFD

not attested not anchored not stored refs pending

Computing the Invariant Measure and the Lyapunov Exponent for One-Dimensional Maps using a Measure-Preserving Polynomial Basis

Oliver Junge, Philip J. Aston

arxiv:1111.5947 v1 · 2011-11-25 · math.NA · 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{NB6JKSK7BRYJCW5GUEZK734RFD}

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	2026-05-18T04:07:41.409722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

687c95495f0c70915ba6a132afef9128fb785e319f87bc3584c9f866328f0a47

Aliases

arxiv: 1111.5947 · arxiv_version: 1111.5947v1 · doi: 10.48550/arxiv.1111.5947 · pith_short_12: NB6JKSK7BRYJ · pith_short_16: NB6JKSK7BRYJCW5G · pith_short_8: NB6JKSK7

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/NB6JKSK7BRYJCW5GUEZK734RFD \
  | 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: 687c95495f0c70915ba6a132afef9128fb785e319f87bc3584c9f866328f0a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ccce62a6e22b2483c493bd55573b613e6c96d64e543911a08e860daab8af6ea",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-11-25T11:16:22Z",
    "title_canon_sha256": "ac5059848209ab32f197b6f36fa3df662ab4d5a4467ee2bdb177cf1d35a4db6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5947",
    "kind": "arxiv",
    "version": 1
  }
}