Pith Number

pith:Z7WTTLR6

pith:2018:Z7WTTLR6NATNPVGHBECKIHMUPN

not attested not anchored not stored refs pending

Positive entropy actions of countable groups factor onto Bernoulli shifts

Brandon Seward

arxiv:1804.05269 v3 · 2018-04-14 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7WTTLR6NATNPVGHBECKIHMUPN}

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	2026-05-17T23:45:26.193250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfed39ae3e6826d7d4c70904a41d947b4b0722d6a2d7c89519e93f4f6274a2da

Aliases

arxiv: 1804.05269 · arxiv_version: 1804.05269v3 · doi: 10.48550/arxiv.1804.05269 · pith_short_12: Z7WTTLR6NATN · pith_short_16: Z7WTTLR6NATNPVGH · pith_short_8: Z7WTTLR6

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/Z7WTTLR6NATNPVGHBECKIHMUPN \
  | 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: cfed39ae3e6826d7d4c70904a41d947b4b0722d6a2d7c89519e93f4f6274a2da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17662eda25f4171425c3b61c2b7fbebfa91251b4ad4612fbeca1d2f8ee19e92d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-14T19:42:42Z",
    "title_canon_sha256": "124d9dc8116fdd708dca5e944192bcc1aee9655eac186533bea9fa79790fb8c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05269",
    "kind": "arxiv",
    "version": 3
  }
}