Pith Number

pith:K6DGS4AQ

pith:2014:K6DGS4AQNNLO436N4WX5AMCAHA

not attested not anchored not stored refs pending

Convergence of ergodic averages for many group rotations

Gabriella Keszthelyi, Zoltan Buczolich

arxiv:1411.0508 v1 · 2014-11-03 · math.DS · math.CA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6DGS4AQNNLO436N4WX5AMCAHA}

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	2026-05-17T23:53:14.088274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57866970106b56ee6fcde5afd03040383d6ce14563fba9ac16a695bb1e120a60

Aliases

arxiv: 1411.0508 · arxiv_version: 1411.0508v1 · doi: 10.48550/arxiv.1411.0508 · pith_short_12: K6DGS4AQNNLO · pith_short_16: K6DGS4AQNNLO436N · pith_short_8: K6DGS4AQ

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/K6DGS4AQNNLO436N4WX5AMCAHA \
  | 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: 57866970106b56ee6fcde5afd03040383d6ce14563fba9ac16a695bb1e120a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a57815ced3bf49a257f0dcc7784635cf2ea9bfd5e20dff030fd0fc086e54941",
    "cross_cats_sorted": [
      "math.CA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-03T14:44:42Z",
    "title_canon_sha256": "c364e1352a9aed58ab6c59258e3688077b4f924d3919da5d94323a06ff81dd9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0508",
    "kind": "arxiv",
    "version": 1
  }
}