Pith Number

pith:TFTW567R

pith:2026:TFTW567RLKVQT25GNG5ERPNM4D

not attested not anchored not stored refs pending

Discontinuity of Lyapunov exponents vs Entropy for smooth surface diffeomorphisms

J\'er\^ome Buzzi

arxiv:2606.30956 v1 · 2026-06-29 · 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{TFTW567RLKVQT25GNG5ERPNM4D}

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	2026-07-01T00:17:22.699963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99676efbf15aab09eba669ba48bdace0e268574a96f66f3fdeea9f39861caf07

Aliases

arxiv: 2606.30956 · arxiv_version: 2606.30956v1 · doi: 10.48550/arxiv.2606.30956 · pith_short_12: TFTW567RLKVQ · pith_short_16: TFTW567RLKVQT25G · pith_short_8: TFTW567R

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/TFTW567RLKVQT25GNG5ERPNM4D \
  | 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: 99676efbf15aab09eba669ba48bdace0e268574a96f66f3fdeea9f39861caf07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b495fed00d6ec543b7cc7487331e248d1c30b5d336466cb2d5bfa06c443f15e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-29T22:25:20Z",
    "title_canon_sha256": "714a931ec96795b4e306d7e270097d234d49bcf6a828e7dc0d522e85e2fff550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30956",
    "kind": "arxiv",
    "version": 1
  }
}