Pith Number

pith:AU2WDGIP

pith:2012:AU2WDGIP3P4ZEKVZSNVW76A2SJ

not attested not anchored not stored refs pending

Power convergence of Abel averages

David Shoikhet, Jaroslav Zemanek, Yuri Kozitsky

arxiv:1208.0936 v1 · 2012-08-04 · math.FA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AU2WDGIP3P4ZEKVZSNVW76A2SJ}

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	2026-05-18T03:49:21.052243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053561990fdbf9922ab9936b6ff81a9249bbfff9f9a7e6450b6ddd2617de7e0f

Aliases

arxiv: 1208.0936 · arxiv_version: 1208.0936v1 · doi: 10.48550/arxiv.1208.0936 · pith_short_12: AU2WDGIP3P4Z · pith_short_16: AU2WDGIP3P4ZEKVZ · pith_short_8: AU2WDGIP

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/AU2WDGIP3P4ZEKVZSNVW76A2SJ \
  | 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: 053561990fdbf9922ab9936b6ff81a9249bbfff9f9a7e6450b6ddd2617de7e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efda39ec3cd231883299a3304c2c0760ab12247bec86c3c2fe5c7a3f301b53bb",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-04T14:48:15Z",
    "title_canon_sha256": "2365e935d82fcf4dace8366363a8d2ced2fd42af262e9b085cc06593f280a1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0936",
    "kind": "arxiv",
    "version": 1
  }
}