Pith Number

pith:5XAC22DL

pith:2015:5XAC22DLL5VXJUUT7K2YKL5EMF

not attested not anchored not stored refs pending

A simple proof of the exactness of expanding maps of the interval with an indifferent fixed point

Marco Lenci

arxiv:1511.05906 v1 · 2015-11-18 · math.DS · 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{5XAC22DLL5VXJUUT7K2YKL5EMF}

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	2026-05-18T00:36:14.507525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edc02d686b5f6b74d293fab5852fa46156641725b0a00f54b34e1c97e5c50632

Aliases

arxiv: 1511.05906 · arxiv_version: 1511.05906v1 · doi: 10.48550/arxiv.1511.05906 · pith_short_12: 5XAC22DLL5VX · pith_short_16: 5XAC22DLL5VXJUUT · pith_short_8: 5XAC22DL

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/5XAC22DLL5VXJUUT7K2YKL5EMF \
  | 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: edc02d686b5f6b74d293fab5852fa46156641725b0a00f54b34e1c97e5c50632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d85945ae0ede86648a43cdb0a1965bed19f700f3010d4b7336f7a9e1fb0be35",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-18T18:41:14Z",
    "title_canon_sha256": "f32d4caf0b20e60ace66d8f1d7c510167a045f83afb6a2e3e82f7390e08ac063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05906",
    "kind": "arxiv",
    "version": 1
  }
}