Pith Number

pith:WTJZL65F

pith:2026:WTJZL65FKTEMMEEITZNSHBRIOB

not attested not anchored not stored refs pending

Fixed-Composition Shuffle Asymptotics in the Full-Support Gaussian Regime

Alex Shvets

arxiv:2602.09029 v5 · 2026-01-17 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTJZL65FKTEMMEEITZNSHBRIOB}

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.

Cited by

1 paper in Pith

Growing Alphabets in Canonical Shuffle Experiments: Likelihood-Ratio Laws, Estimation Bounds, and Low-Budget Equivariant Design

Receipt and verification

First computed	2026-06-23T02:13:20.849433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d395fba554c8c610889e5b2386287071e61a4acc9652b78e30fbd1f274fc1d

Aliases

arxiv: 2602.09029 · arxiv_version: 2602.09029v5 · doi: 10.48550/arxiv.2602.09029 · pith_short_12: WTJZL65FKTEM · pith_short_16: WTJZL65FKTEMMEEI · pith_short_8: WTJZL65F

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/WTJZL65FKTEMMEEITZNSHBRIOB \
  | 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: b4d395fba554c8c610889e5b2386287071e61a4acc9652b78e30fbd1f274fc1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3976420481561137a0d4253ac23ae8efc0dd9f3c3adf02cf503c0ac0fd55c229",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-01-17T00:09:44Z",
    "title_canon_sha256": "675b696c15be950f10a24b348e7d2f6dc805b82ad9e194b1f0b2f56bb69cccc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.09029",
    "kind": "arxiv",
    "version": 5
  }
}