Pith Number

pith:AWTHYZKU

pith:2024:AWTHYZKU3R74TC4XZ2DMQEMPO4

not attested not anchored not stored refs pending

Optimization of the Implicit Constant for Upper Bounds for Moments of the Riemann zeta Function

Tingyu Tao

arxiv:2407.20023 v1 · 2024-07-29 · 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{AWTHYZKU3R74TC4XZ2DMQEMPO4}

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

Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function

Receipt and verification

First computed	2026-07-05T08:49:47.883308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a67c6554dc7fc98b97ce86c8118f770dc65b702df3535a61d81c9b8be145fc

Aliases

arxiv: 2407.20023 · arxiv_version: 2407.20023v1 · doi: 10.48550/arxiv.2407.20023 · pith_short_12: AWTHYZKU3R74 · pith_short_16: AWTHYZKU3R74TC4X · pith_short_8: AWTHYZKU

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/AWTHYZKU3R74TC4XZ2DMQEMPO4 \
  | 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: 05a67c6554dc7fc98b97ce86c8118f770dc65b702df3535a61d81c9b8be145fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fac6f0c7d5a3a09238d0081c6b43a6586907974419fad54d14c3c491538900a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-07-29T14:01:19Z",
    "title_canon_sha256": "f7eccaced615b90ae7d783d5927590ee38414eed657029986092cb874adb3a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.20023",
    "kind": "arxiv",
    "version": 1
  }
}