Pith Number

pith:EYK5TL42

pith:2025:EYK5TL426IIAV5MKU4UDXWEDBI

not attested not anchored not stored refs pending

Short mollifiers of the Riemann zeta-function

Caroline L. Turnage-Butterbaugh, Chung-Hang Kwan, David W. Farmer, J. Brian Conrey, Yongxiao Lin

arxiv:2508.11108 v1 · 2025-08-14 · 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{EYK5TL426IIAV5MKU4UDXWEDBI}

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

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions

Receipt and verification

First computed	2026-07-05T11:54:18.611516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2615d9af9af2100af58aa7283bd8830a0efe05411464c86957977a681b0e8905

Aliases

arxiv: 2508.11108 · arxiv_version: 2508.11108v1 · doi: 10.48550/arxiv.2508.11108 · pith_short_12: EYK5TL426IIA · pith_short_16: EYK5TL426IIAV5MK · pith_short_8: EYK5TL42

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/EYK5TL426IIAV5MKU4UDXWEDBI \
  | 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: 2615d9af9af2100af58aa7283bd8830a0efe05411464c86957977a681b0e8905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00fa193d7068e225ea60c11e777d3ba7ed933d212e8cc06f7476d675fb2a1efd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-14T23:20:41Z",
    "title_canon_sha256": "d489beb24128de6144189878993f3d4852fbdcdd366fbc97cace0ff3827da828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.11108",
    "kind": "arxiv",
    "version": 1
  }
}