Pith Number

pith:ZXOW2IZS

pith:2011:ZXOW2IZSJTB4O3SMZJR7CYIGEL

not attested not anchored not stored refs pending

Dynamical properties of the negative beta transformation

Lingmin Liao (LAMA), Wolfgang Steiner (LIAFA)

arxiv:1101.2366 v3 · 2011-01-12 · 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{ZXOW2IZSJTB4O3SMZJR7CYIGEL}

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	2026-05-18T04:19:12.150793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cddd6d23324cc3c76e4cca63f1610622d9b647b125995cc65973848bca5e5e85

Aliases

arxiv: 1101.2366 · arxiv_version: 1101.2366v3 · doi: 10.48550/arxiv.1101.2366 · pith_short_12: ZXOW2IZSJTB4 · pith_short_16: ZXOW2IZSJTB4O3SM · pith_short_8: ZXOW2IZS

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/ZXOW2IZSJTB4O3SMZJR7CYIGEL \
  | 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: cddd6d23324cc3c76e4cca63f1610622d9b647b125995cc65973848bca5e5e85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5b0c00991953c41c7aacecf5c32af9f7c8eeb10aefbf333ff30341dd4c884a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-12T14:01:55Z",
    "title_canon_sha256": "a90aa2818da51f6d9650f5a8c2a1f11082d6b34f0491073c4cfef6fa6caea170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2366",
    "kind": "arxiv",
    "version": 3
  }
}