Pith Number

pith:ZPYIPHBG

pith:2024:ZPYIPHBGPEV6Y44XRH7JPCRX3A

not attested not anchored not stored refs pending

Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions

Liangyi Zhao, Peng Gao

arxiv:2405.15980 v2 · 2024-05-24 · math.NT

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\usepackage{pith}
\pithnumber{ZPYIPHBGPEV6Y44XRH7JPCRX3A}

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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

First moment of quadratic Dirichlet $L$-functions with secondary terms

Receipt and verification

First computed	2026-07-05T11:14:23.615339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbf0879c26792bec739789fe978a37d83c8cb673227c882ec0856e11052a870d

Aliases

arxiv: 2405.15980 · arxiv_version: 2405.15980v2 · doi: 10.48550/arxiv.2405.15980 · pith_short_12: ZPYIPHBGPEV6 · pith_short_16: ZPYIPHBGPEV6Y44X · pith_short_8: ZPYIPHBG

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/ZPYIPHBGPEV6Y44XRH7JPCRX3A \
  | 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: cbf0879c26792bec739789fe978a37d83c8cb673227c882ec0856e11052a870d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4960111c424dc19dee0c6edfc053807525158304671354b2289ec8dbd071419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-05-24T23:40:18Z",
    "title_canon_sha256": "44ee8c472f92b00eea0b7978039bda16994778d251e51a0887c74f6defb7e698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.15980",
    "kind": "arxiv",
    "version": 2
  }
}