Pith Number

pith:3UYBXZA3

pith:2025:3UYBXZA3XLT4K64PDWOPL6ML6F

not attested not anchored not stored refs pending

Slow convergence of Birkhoff ergodic averages

Valery V. Ryzhikov

arxiv:2507.16740 v1 · 2025-07-22 · 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{3UYBXZA3XLT4K64PDWOPL6ML6F}

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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.

Cited by

1 paper in Pith

Exponential convergence can happen in weighted Birkhoff averages via quasi-periodicity with arbitrary nonresonance and low regularity

Receipt and verification

First computed	2026-07-05T11:41:30.213089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd301be41bbae7c57b8f1d9cf5f98bf1739da3e936c2d3e55bdd716370069765

Aliases

arxiv: 2507.16740 · arxiv_version: 2507.16740v1 · doi: 10.48550/arxiv.2507.16740 · pith_short_12: 3UYBXZA3XLT4 · pith_short_16: 3UYBXZA3XLT4K64P · pith_short_8: 3UYBXZA3

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/3UYBXZA3XLT4K64PDWOPL6ML6F \
  | 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: dd301be41bbae7c57b8f1d9cf5f98bf1739da3e936c2d3e55bdd716370069765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d93544816a0b28e7b66d0c8f9fdb305429b43c9353d1afdb6f77fe692eb96cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-22T16:25:07Z",
    "title_canon_sha256": "08c71f7aae8fe965efd43cf01b942dd842cd9a234e2311e84ea0d069937a9ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16740",
    "kind": "arxiv",
    "version": 1
  }
}