Pith Number

pith:O4TUIPZD

pith:2014:O4TUIPZDWDTY4MXATHQTPOU7JO

not attested not anchored not stored refs pending

Quantitative norm convergence of double ergodic averages associated with two commuting group actions

Vjekoslav Kova\v{c}

arxiv:1405.3499 v2 · 2014-05-14 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4TUIPZDWDTY4MXATHQTPOU7JO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:53:14.421980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7727443f23b0e78e32e099e137ba9f4bbb3a35c65ab3c86516f1285f60267c4f

Aliases

arxiv: 1405.3499 · arxiv_version: 1405.3499v2 · doi: 10.48550/arxiv.1405.3499 · pith_short_12: O4TUIPZDWDTY · pith_short_16: O4TUIPZDWDTY4MXA · pith_short_8: O4TUIPZD

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/O4TUIPZDWDTY4MXATHQTPOU7JO \
  | 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: 7727443f23b0e78e32e099e137ba9f4bbb3a35c65ab3c86516f1285f60267c4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f38fd92336f8f798c85c9d2e2cbc99b84329c66683a899842863a31b7c97357",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-14T14:00:36Z",
    "title_canon_sha256": "1205d1068b8859c5f656f16a3ccd2ca20ae844773590e88722ec0ea2aa6e9666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3499",
    "kind": "arxiv",
    "version": 2
  }
}