Pith Number

pith:XT2LFZCT

pith:2011:XT2LFZCTDNISEY66EFLQ5UWIKD

not attested not anchored not stored refs pending

On independence and entropy for high-dimensional isotropic subshifts

Ronnie Pavlov, Tom Meyerovitch

arxiv:1112.1351 v2 · 2011-12-06 · 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{XT2LFZCTDNISEY66EFLQ5UWIKD}

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	2026-05-18T03:29:51.245721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf4b2e4531b512263de21570ed2c850f9a37cf461ee55433f1ed24a0ad76145

Aliases

arxiv: 1112.1351 · arxiv_version: 1112.1351v2 · doi: 10.48550/arxiv.1112.1351 · pith_short_12: XT2LFZCTDNIS · pith_short_16: XT2LFZCTDNISEY66 · pith_short_8: XT2LFZCT

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/XT2LFZCTDNISEY66EFLQ5UWIKD \
  | 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: bcf4b2e4531b512263de21570ed2c850f9a37cf461ee55433f1ed24a0ad76145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cbb1cd3d649d93e05e196a1ebfe1a2a07428e619c8f1f6444b489bc24504562",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-06T17:13:27Z",
    "title_canon_sha256": "be2739c784bd5515b3944b91ddf5663d24a6138c73b66976d27f46e0a02484e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1351",
    "kind": "arxiv",
    "version": 2
  }
}