Pith Number

pith:GYUD6G4V

pith:2021:GYUD6G4V2JRMFDF3XLVQCZMCKM

not attested not anchored not stored refs pending

Bounds for standard $L$-functions

Paul D. Nelson

arxiv:2109.15230 v3 · 2021-09-30 · 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{GYUD6G4V2JRMFDF3XLVQCZMCKM}

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

3 papers in Pith

Moments of $L$-functions via a relative trace formula

Average shifted convolution sum for $GL(d_1)\times GL(d_2)$

A connection between low-lying zeros and central values of $L$-functions

Receipt and verification

First computed	2026-06-11T01:09:06.275692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36283f1b95d262c28cbbbaeb01658253167f1f3464930cbf2c89fcdebec18184

Aliases

arxiv: 2109.15230 · arxiv_version: 2109.15230v3 · doi: 10.48550/arxiv.2109.15230 · pith_short_12: GYUD6G4V2JRM · pith_short_16: GYUD6G4V2JRMFDF3 · pith_short_8: GYUD6G4V

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/GYUD6G4V2JRMFDF3XLVQCZMCKM \
  | 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: 36283f1b95d262c28cbbbaeb01658253167f1f3464930cbf2c89fcdebec18184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c173f7a1197b1e0356ef993c08deeddaaeecd7e90bc430f291a5187f431292fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-09-30T16:07:15Z",
    "title_canon_sha256": "0b56b1e83a3af0dccedd30b52b7625aa35ed6b8277923ba34de052160c2f7195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.15230",
    "kind": "arxiv",
    "version": 3
  }
}