pith. sign in
Pith Number

pith:RI767MXV

pith:2017:RI767MXVCKYCYLKNNA4BVH7DWS
not attested not anchored not stored refs pending

The first moment of cusp form L-functions in weight aspect on average

Dmitry Frolenkov, Olga Balkanova

arxiv:1703.00742 v1 · 2017-03-02 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RI767MXVCKYCYLKNNA4BVH7DWS}

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.
Receipt and verification
First computed 2026-05-18T00:49:40.908946Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8a3fefb2f512b02c2d4d68381a9fe3b4a5353ff8aaa0eeed6a7a6013474b0541

Aliases

arxiv: 1703.00742 · arxiv_version: 1703.00742v1 · doi: 10.48550/arxiv.1703.00742 · pith_short_12: RI767MXVCKYC · pith_short_16: RI767MXVCKYCYLKN · pith_short_8: RI767MXV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RI767MXVCKYCYLKNNA4BVH7DWS \
  | 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: 8a3fefb2f512b02c2d4d68381a9fe3b4a5353ff8aaa0eeed6a7a6013474b0541
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "20dbfe0bdd8756658a14fb21514c4a51fa8b387ff63750998623b772fadf0403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-02T12:00:28Z",
    "title_canon_sha256": "fb2b53d985def4d0eecee4130fefcf5b679300e5c5d2ff1c826ca05e2be4649f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00742",
    "kind": "arxiv",
    "version": 1
  }
}