Pith Number

pith:FKTKANOT

pith:2022:FKTKANOTKVP5O224GJKNSEWFXB

not attested not anchored not stored refs pending

Central limit theorems for random multiplicative functions

Kannan Soundararajan, Max Wenqiang Xu

arxiv:2212.06098 v2 · 2022-12-12 · 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{FKTKANOTKVP5O224GJKNSEWFXB}

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	2026-07-05T07:28:56.692842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa6a035d3555fd76b5c3254d912c5b868101dfeb7e2a061a7ab96370efd6fc4

Aliases

arxiv: 2212.06098 · arxiv_version: 2212.06098v2 · doi: 10.48550/arxiv.2212.06098 · pith_short_12: FKTKANOTKVP5 · pith_short_16: FKTKANOTKVP5O224 · pith_short_8: FKTKANOT

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/FKTKANOTKVP5O224GJKNSEWFXB \
  | 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: 2aa6a035d3555fd76b5c3254d912c5b868101dfeb7e2a061a7ab96370efd6fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03f05930ebd50c8d57187ee0221e99e1a000e45dc314b954e8d59c44d9d7d5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-12-12T18:13:39Z",
    "title_canon_sha256": "b4733d9f511d9472ec48e00215738493ae52bf7aacfc6ea5d0331c08b4a4c3a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.06098",
    "kind": "arxiv",
    "version": 2
  }
}