Pith Number

pith:J3WKLBA7

pith:2019:J3WKLBA76T56CVKZINOMTDNGDP

not attested not anchored not stored refs pending

The mean square of real character sums

Peng Gao

arxiv:1908.07922 v1 · 2019-08-20 · 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{J3WKLBA76T56CVKZINOMTDNGDP}

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

Mean squares of quadratic twists of the Fourier coefficients of modular forms

Receipt and verification

First computed	2026-07-04T23:59:02.491810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eeca5841ff4fbe15559435cc98da61be00c37b68ce1d0e2cfbcc1ec45090c92

Aliases

arxiv: 1908.07922 · arxiv_version: 1908.07922v1 · doi: 10.48550/arxiv.1908.07922 · pith_short_12: J3WKLBA76T56 · pith_short_16: J3WKLBA76T56CVKZ · pith_short_8: J3WKLBA7

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/J3WKLBA76T56CVKZINOMTDNGDP \
  | 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: 4eeca5841ff4fbe15559435cc98da61be00c37b68ce1d0e2cfbcc1ec45090c92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d861b8c48f10ab3918d5a5cab9398a85d09ac180d5b36e6a88e2da1b876eec52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-20T12:38:58Z",
    "title_canon_sha256": "15c8fc87efdc5dddd17204775011c0075cc0878808f724abb20e173ab2d7ab3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07922",
    "kind": "arxiv",
    "version": 1
  }
}