Pith Number

pith:475RLDDS

pith:2010:475RLDDSEJ336ZW2NF7MOCHCCA

not attested not anchored not stored refs pending

Random walks on random coset spaces with applications to Furstenberg entropy

Lewis Bowen

arxiv:1008.4933 v5 · 2010-08-29 · 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{475RLDDSEJ336ZW2NF7MOCHCCA}

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	2026-05-18T03:32:06.147266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7fb158c722277bf66da697ec708e210028dafcfd2827babe68ccace5e21a6b9

Aliases

arxiv: 1008.4933 · arxiv_version: 1008.4933v5 · doi: 10.48550/arxiv.1008.4933 · pith_short_12: 475RLDDSEJ33 · pith_short_16: 475RLDDSEJ336ZW2 · pith_short_8: 475RLDDS

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/475RLDDSEJ336ZW2NF7MOCHCCA \
  | 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: e7fb158c722277bf66da697ec708e210028dafcfd2827babe68ccace5e21a6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e5825d95d7d1d488a937b466139ac3db2967364135adef5e897eb0a5547bdb",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-29T15:11:27Z",
    "title_canon_sha256": "faf3f188129b0faaf399d14d85266f667a704c20bea662b3f0c4371194f33fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4933",
    "kind": "arxiv",
    "version": 5
  }
}