Pith Number

pith:JZGJMC55

pith:2017:JZGJMC55GCOLVYK4EFO4NN3DL7

not attested not anchored not stored refs pending

Central Limit Theorems for group actions which are exponentially mixing of all orders

Alexander Gorodnik, Michael Bj\"orklund

arxiv:1706.09167 v1 · 2017-06-28 · 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{JZGJMC55GCOLVYK4EFO4NN3DL7}

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	2026-05-18T00:41:19.568660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4c960bbd309cbae15c215dc6b7635fd9a1ed7bc36588774cff34557aaf5817

Aliases

arxiv: 1706.09167 · arxiv_version: 1706.09167v1 · doi: 10.48550/arxiv.1706.09167 · pith_short_12: JZGJMC55GCOL · pith_short_16: JZGJMC55GCOLVYK4 · pith_short_8: JZGJMC55

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/JZGJMC55GCOLVYK4EFO4NN3DL7 \
  | 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: 4e4c960bbd309cbae15c215dc6b7635fd9a1ed7bc36588774cff34557aaf5817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3cdc81dd0ce15d533bcb6613387c090f937c0f776781a81071c3fbe70c8a01a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-28T08:29:57Z",
    "title_canon_sha256": "227a0c0ae562482550520ca75b124122a8ccb14f6285be2a0c9c6e29d271c53a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09167",
    "kind": "arxiv",
    "version": 1
  }
}