Pith Number

pith:ZVGWF3SF

pith:2018:ZVGWF3SFYUBPIFFNGS7YJRBOTQ

not attested not anchored not stored refs pending

Countable Markov Partitions Suitable for Thermodynamic Formalism

Lucia D. Simonelli, Michael Jakobson

arxiv:1803.02054 v1 · 2018-03-06 · 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{ZVGWF3SFYUBPIFFNGS7YJRBOTQ}

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	2026-05-18T00:21:55.935670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd4d62ee45c502f414ad34bf84c42e9c1d5d29927ef6fd57392f73c1e8a2e49f

Aliases

arxiv: 1803.02054 · arxiv_version: 1803.02054v1 · doi: 10.48550/arxiv.1803.02054 · pith_short_12: ZVGWF3SFYUBP · pith_short_16: ZVGWF3SFYUBPIFFN · pith_short_8: ZVGWF3SF

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/ZVGWF3SFYUBPIFFNGS7YJRBOTQ \
  | 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: cd4d62ee45c502f414ad34bf84c42e9c1d5d29927ef6fd57392f73c1e8a2e49f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c830e41b1481b41e7590d5b6698d4854330d5304e545b31727b36237799c959",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-06T08:12:57Z",
    "title_canon_sha256": "7d7dcc077f732a8832c8092a96509e2e85c6cb47b96e55615d3db2a898131587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02054",
    "kind": "arxiv",
    "version": 1
  }
}