Pith Number

pith:W5XYZZS4

pith:2014:W5XYZZS4FE2O4L66IFBUUFZAVA

not attested not anchored not stored refs pending

Entropy of subordinate shift spaces

Dominik Kwietniak, Jian Li, Marcin Kulczycki

arxiv:1401.5969 v3 · 2014-01-23 · math.DS · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5XYZZS4FE2O4L66IFBUUFZAVA}

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	2026-05-18T00:24:45.684527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76f8ce65c2934ee2fde41434a1720a80a59bb820d426c18d489b383e941c177

Aliases

arxiv: 1401.5969 · arxiv_version: 1401.5969v3 · doi: 10.48550/arxiv.1401.5969 · pith_short_12: W5XYZZS4FE2O · pith_short_16: W5XYZZS4FE2O4L66 · pith_short_8: W5XYZZS4

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/W5XYZZS4FE2O4L66IFBUUFZAVA \
  | 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: b76f8ce65c2934ee2fde41434a1720a80a59bb820d426c18d489b383e941c177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3175023d8f9fcbbd020755f4632a9cc2b2ae73a3f56a2f477ccecae4d074c5b2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-23T13:40:55Z",
    "title_canon_sha256": "c3c2ca1bc202fa86a9dc5d6e7f7f93fbb86409c7e0e6de388c349183796b5c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5969",
    "kind": "arxiv",
    "version": 3
  }
}