Pith Number

pith:6TUF7DHG

pith:2018:6TUF7DHGH3NVDP7OKZOXMNCG42

not attested not anchored not stored refs pending

Automorphisms of the shift: Lyapunov exponents, entropy, and the dimension representation

Scott Schmieding

arxiv:1803.04060 v1 · 2018-03-11 · 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{6TUF7DHGH3NVDP7OKZOXMNCG42}

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	2026-05-18T00:21:32.810342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e85f8ce63edb51bfee565d763446e6877e5a8e019c487d31d8842c368c5bda

Aliases

arxiv: 1803.04060 · arxiv_version: 1803.04060v1 · doi: 10.48550/arxiv.1803.04060 · pith_short_12: 6TUF7DHGH3NV · pith_short_16: 6TUF7DHGH3NVDP7O · pith_short_8: 6TUF7DHG

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/6TUF7DHGH3NVDP7OKZOXMNCG42 \
  | 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: f4e85f8ce63edb51bfee565d763446e6877e5a8e019c487d31d8842c368c5bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a0256e81898bed8ec200f6a677a6022e7fa4c75f914d4b10021138cc94e96a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-11T22:48:20Z",
    "title_canon_sha256": "19c181667856a9678f3e2e051fcdece4261ba40baf3d20d5fc37b8823702a51a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04060",
    "kind": "arxiv",
    "version": 1
  }
}