Pith Number

pith:MRFCXZ4A

pith:2025:MRFCXZ4A2JMBAXGUWYU7OXH27T

not attested not anchored not stored refs pending

Pointwise convergence of polynomial multiple ergodic averages along the primes

James Wright, Mariusz Mirek, Renhui Wan

arxiv:2505.15549 v2 · 2025-05-21 · math.DS · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRFCXZ4A2JMBAXGUWYU7OXH27T}

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	2026-06-23T03:13:45.534422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

644a2be780d258105cd4b629f75cfafcf5ee4ed5a50a94979ed04f1a0ecd55f8

Aliases

arxiv: 2505.15549 · arxiv_version: 2505.15549v2 · doi: 10.48550/arxiv.2505.15549 · pith_short_12: MRFCXZ4A2JMB · pith_short_16: MRFCXZ4A2JMBAXGU · pith_short_8: MRFCXZ4A

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/MRFCXZ4A2JMBAXGUWYU7OXH27T \
  | 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: 644a2be780d258105cd4b629f75cfafcf5ee4ed5a50a94979ed04f1a0ecd55f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7110b4352d2be03531059f127d5504f952963d9f337f01cdf437c981612594d5",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-21T14:12:38Z",
    "title_canon_sha256": "82e12778e7999291af1b553e4de5e2ecbd99f64b1c5c6597f55376fbeca850cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15549",
    "kind": "arxiv",
    "version": 2
  }
}