Pith Number

pith:EZM42PPG

pith:2013:EZM42PPGFOBJ7LHKDZUN5NAD54

not attested not anchored not stored refs pending

Speed of convergence for the realization of an effective subshift by a multidimensional SFT or Sofic

Anne Crumi\`ere, Mathieu Sablik, Michael Schraudner

arxiv:1308.1702 v1 · 2013-08-07 · 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{EZM42PPGFOBJ7LHKDZUN5NAD54}

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	2026-05-18T03:16:27.998891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2659cd3de62b829facea1e68deb403ef091a4523bb4c272219e6f8594b6af3da

Aliases

arxiv: 1308.1702 · arxiv_version: 1308.1702v1 · doi: 10.48550/arxiv.1308.1702 · pith_short_12: EZM42PPGFOBJ · pith_short_16: EZM42PPGFOBJ7LHK · pith_short_8: EZM42PPG

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/EZM42PPGFOBJ7LHKDZUN5NAD54 \
  | 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: 2659cd3de62b829facea1e68deb403ef091a4523bb4c272219e6f8594b6af3da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf04705e32ab621d8a69e69b0f8f16b2525709999f692d48358a6495e0734635",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-07T21:23:49Z",
    "title_canon_sha256": "17302b74de49cb1c36013c37e767687fabb80a5281da649e71c22da49bfd2335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1702",
    "kind": "arxiv",
    "version": 1
  }
}