Pith Number

pith:53CFMYVD

pith:2018:53CFMYVDRDWNO4TDYYW6BBNDCG

not attested not anchored not stored refs pending

A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli

Marlies Gerber, Philipp Kunde

arxiv:1803.01926 v1 · 2018-03-05 · 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{53CFMYVDRDWNO4TDYYW6BBNDCG}

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	2026-05-18T00:21:56.296164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec45662a388ecd77263c62de085a311bde03746bd2e8f25b748378601a7d147

Aliases

arxiv: 1803.01926 · arxiv_version: 1803.01926v1 · doi: 10.48550/arxiv.1803.01926 · pith_short_12: 53CFMYVDRDWN · pith_short_16: 53CFMYVDRDWNO4TD · pith_short_8: 53CFMYVD

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/53CFMYVDRDWNO4TDYYW6BBNDCG \
  | 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: eec45662a388ecd77263c62de085a311bde03746bd2e8f25b748378601a7d147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba8fe5b1d36eb0dc70ad815b347f980f976d057a80527deeb770a8df266982ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-05T21:12:03Z",
    "title_canon_sha256": "7f5dffe714188dc0fa2136979c2252ec68d6fc8810753ac0b936c583c955a683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01926",
    "kind": "arxiv",
    "version": 1
  }
}