Pith Number

pith:LU3UN7QD

pith:2016:LU3UN7QD4X33L5GO3MRWZCCJFY

not attested not anchored not stored refs pending

Pointwise convergence of some multiple ergodic averages

Sebasti\'an Donoso, Wenbo Sun

arxiv:1609.02529 v1 · 2016-09-08 · 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{LU3UN7QD4X33L5GO3MRWZCCJFY}

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	2026-05-18T01:04:54.417141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3746fe03e5f7b5f4cedb236c88492e2b8a0eeb5cc5577848ef6fd7eafd2bd7

Aliases

arxiv: 1609.02529 · arxiv_version: 1609.02529v1 · doi: 10.48550/arxiv.1609.02529 · pith_short_12: LU3UN7QD4X33 · pith_short_16: LU3UN7QD4X33L5GO · pith_short_8: LU3UN7QD

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/LU3UN7QD4X33L5GO3MRWZCCJFY \
  | 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: 5d3746fe03e5f7b5f4cedb236c88492e2b8a0eeb5cc5577848ef6fd7eafd2bd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f70566c8c82efc302502a43cdc1ac4d98cb2c38fb9d1f139d5b35206e14a2d1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-08T18:49:04Z",
    "title_canon_sha256": "4b24ff358832aa44598864bc6c96c05d2d4f85035158ac89d61dabc604a9f507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02529",
    "kind": "arxiv",
    "version": 1
  }
}