Pith Number

pith:DJ7WJVKB

pith:2017:DJ7WJVKB35MLJS5MMA6J5ADGUR

not attested not anchored not stored refs pending

Furstenberg Entropy of Intersectional Invariant Random Subgroups

Ariel Yadin, Yair Hartman

arxiv:1701.08350 v1 · 2017-01-29 · math.DS · math.GR · 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{DJ7WJVKB35MLJS5MMA6J5ADGUR}

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	2026-05-17T23:53:12.875767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a7f64d541df58b4cbac603c9e8066a47dc3334ed4041e5c85b02971f68c1ff2

Aliases

arxiv: 1701.08350 · arxiv_version: 1701.08350v1 · doi: 10.48550/arxiv.1701.08350 · pith_short_12: DJ7WJVKB35ML · pith_short_16: DJ7WJVKB35MLJS5M · pith_short_8: DJ7WJVKB

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/DJ7WJVKB35MLJS5MMA6J5ADGUR \
  | 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: 1a7f64d541df58b4cbac603c9e8066a47dc3334ed4041e5c85b02971f68c1ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95cc3a47407a0ad9ac463e2a30cdf3624e5065b270a50efa65f9a44d9c8ddc47",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-29T05:03:46Z",
    "title_canon_sha256": "59d7081cdb5e1734fb1c1a016cfe7f84fab627bcf3b3b83df3eacaefc31071a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08350",
    "kind": "arxiv",
    "version": 1
  }
}