Pith Number

pith:UKK36SKG

pith:2023:UKK36SKGM2JWVFY5EY4QP7NH2F

not attested not anchored not stored refs pending

Almost sure upper bound for random multiplicative functions

Rachid Caich

arxiv:2304.00943 v2 · 2023-04-03 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKK36SKGM2JWVFY5EY4QP7NH2F}

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

On the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspect

Receipt and verification

First computed	2026-07-05T08:56:12.226698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a295bf494666936a971d263907fda7d154f8a6cca4ca8071c998da054a0b6c3c

Aliases

arxiv: 2304.00943 · arxiv_version: 2304.00943v2 · doi: 10.48550/arxiv.2304.00943 · pith_short_12: UKK36SKGM2JW · pith_short_16: UKK36SKGM2JWVFY5 · pith_short_8: UKK36SKG

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/UKK36SKGM2JWVFY5EY4QP7NH2F \
  | 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: a295bf494666936a971d263907fda7d154f8a6cca4ca8071c998da054a0b6c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998c77ac97b32952cf6a2a015635a2cc8b09696095c537ce2ef915976d436e4e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-04-03T13:00:31Z",
    "title_canon_sha256": "46489ceccfa222a2e189ee7d86c230ced05ce2110c404fe1d529d9e83847e2e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.00943",
    "kind": "arxiv",
    "version": 2
  }
}