Pith Number

pith:RW5YUGGF

pith:2026:RW5YUGGFNTRTSTFCXJMHMZBI64

not attested not anchored not stored refs pending

Linking effective Ratner equidistribution to the semicircle law for skew-shift matrices

Cong Chen, Yong Li

arxiv:2607.01655 v1 · 2026-07-02 · 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{RW5YUGGFNTRTSTFCXJMHMZBI64}

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	2026-07-03T01:17:04.627454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dbb8a18c56ce3394ca2ba58766428f73eb8b1e26593ae2562ff599aa6afdbde

Aliases

arxiv: 2607.01655 · arxiv_version: 2607.01655v1 · doi: 10.48550/arxiv.2607.01655 · pith_short_12: RW5YUGGFNTRT · pith_short_16: RW5YUGGFNTRTSTFC · pith_short_8: RW5YUGGF

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/RW5YUGGFNTRTSTFCXJMHMZBI64 \
  | 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: 8dbb8a18c56ce3394ca2ba58766428f73eb8b1e26593ae2562ff599aa6afdbde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac27f45a7384c328e5951530505003988fc0e8e79d270562b8484cea8bb278ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-02T03:27:15Z",
    "title_canon_sha256": "c6e190dd7064e74b3995ad0e421fc970812cf2106ceb532d4308b9f4d1f7c4c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01655",
    "kind": "arxiv",
    "version": 1
  }
}