Pith Number

pith:MNI5RTIP

pith:2014:MNI5RTIPZC3TNQ754QEW7F3VW7

not attested not anchored not stored refs pending

On the pointwise convergence of multiple ergodic averages

E. H. El Abdalaoui

arxiv:1406.2608 v3 · 2014-06-10 · 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{MNI5RTIPZC3TNQ754QEW7F3VW7}

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	2026-05-18T00:45:30.796163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6351d8cd0fc8b736c3fde4096f9775b7c699b86753507ae345c073d69c76fcde

Aliases

arxiv: 1406.2608 · arxiv_version: 1406.2608v3 · doi: 10.48550/arxiv.1406.2608 · pith_short_12: MNI5RTIPZC3T · pith_short_16: MNI5RTIPZC3TNQ75 · pith_short_8: MNI5RTIP

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/MNI5RTIPZC3TNQ754QEW7F3VW7 \
  | 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: 6351d8cd0fc8b736c3fde4096f9775b7c699b86753507ae345c073d69c76fcde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0e28ff4864a7701f27fbb399fb678590a081ddaa367485a7ab7af129a3eaa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-10T16:02:30Z",
    "title_canon_sha256": "8fea2e64c92e8e7a27d40e8784e855865daba89a90f5a10f3ecc554f0a6988a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2608",
    "kind": "arxiv",
    "version": 3
  }
}