Pith Number

pith:VZ57YZJT

pith:2014:VZ57YZJTUFB7NDZK2V44UI7TYF

not attested not anchored not stored refs pending

Non-normal numbers in dynamical systems fulfilling the specification property

Izabela Petrykiewicz, Manfred G. Madritsch

arxiv:1402.1506 v2 · 2014-02-06 · 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{VZ57YZJTUFB7NDZK2V44UI7TYF}

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	2026-05-18T02:56:34.552493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae7bfc6533a143f68f2ad579ca23f3c15a43cce455871067a2893268f0c64b80

Aliases

arxiv: 1402.1506 · arxiv_version: 1402.1506v2 · doi: 10.48550/arxiv.1402.1506 · pith_short_12: VZ57YZJTUFB7 · pith_short_16: VZ57YZJTUFB7NDZK · pith_short_8: VZ57YZJT

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/VZ57YZJTUFB7NDZK2V44UI7TYF \
  | 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: ae7bfc6533a143f68f2ad579ca23f3c15a43cce455871067a2893268f0c64b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "374911fdad3d2ec58113d33bddb79d5245ab204c562215deb8cf0a2c59ed4286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-02-06T21:35:36Z",
    "title_canon_sha256": "c56b50a1bc876b3c76b571fafa8689f9a7e33074d9277232a30376b545e05e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1506",
    "kind": "arxiv",
    "version": 2
  }
}