Pith Number

pith:GZUTLVMF

pith:2025:GZUTLVMFQQPCL6OMK3TTV5PVJO

not attested not anchored not stored refs pending

Twisted fourth moment of Dirichlet $L$-functions to a fixed modulus

Liangyi Zhao, Peng Gao

arxiv:2507.18186 v1 · 2025-07-24 · 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{GZUTLVMFQQPCL6OMK3TTV5PVJO}

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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

Simultaneous non-vanishing of Dirichlet L-functions

Receipt and verification

First computed	2026-07-05T11:42:43.297092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366935d585841e25f9cc56e73af5f54b98ea6311bcc120422d3e8bd3ec2c9a7f

Aliases

arxiv: 2507.18186 · arxiv_version: 2507.18186v1 · doi: 10.48550/arxiv.2507.18186 · pith_short_12: GZUTLVMFQQPC · pith_short_16: GZUTLVMFQQPCL6OM · pith_short_8: GZUTLVMF

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/GZUTLVMFQQPCL6OMK3TTV5PVJO \
  | 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: 366935d585841e25f9cc56e73af5f54b98ea6311bcc120422d3e8bd3ec2c9a7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c711f9ac2addc492c8b583694a6fb4b8f4fabd41e6110ea4b17a490ffbd6e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-24T08:32:55Z",
    "title_canon_sha256": "460d2b742b5fdb6b872a538b2a13e46c212c7b9e7dbdaeb20a6ccb9a0cd99430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18186",
    "kind": "arxiv",
    "version": 1
  }
}