Pith Number

pith:CH4KARHG

pith:2015:CH4KARHGHSZECCPSLADI42XTE2

not attested not anchored not stored refs pending

Kazhdan projections, random walks and ergodic theorems

Cornelia Dru\c{t}u, Piotr W. Nowak

arxiv:1501.03473 v4 · 2015-01-14 · math.GR · math.DS · math.FA · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CH4KARHGHSZECCPSLADI42XTE2}

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	2026-05-18T00:53:10.900926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f8a044e63cb24109f258068e6af3268b7dc480d1ee7ff2f0570ed794dbc0cd

Aliases

arxiv: 1501.03473 · arxiv_version: 1501.03473v4 · doi: 10.48550/arxiv.1501.03473 · pith_short_12: CH4KARHGHSZE · pith_short_16: CH4KARHGHSZECCPS · pith_short_8: CH4KARHG

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/CH4KARHGHSZECCPSLADI42XTE2 \
  | 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: 11f8a044e63cb24109f258068e6af3268b7dc480d1ee7ff2f0570ed794dbc0cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c316479d78ff8b6128f0a665f0fe73935853602b6b61baa008072ad2e883292",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA",
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-14T20:20:39Z",
    "title_canon_sha256": "0c598eb34e3564b9e3e6fb57c7864d4d5f59b6019e42fb1b74b27fdb7dd4df19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03473",
    "kind": "arxiv",
    "version": 4
  }
}