Pith Number

pith:7G3JLGZ7

pith:2016:7G3JLGZ7B3IHRC2HQGBZLDWJBV

not attested not anchored not stored refs pending

The first moment of central values of symmetric square $L$-functions in the weight aspect

Shenhui Liu

arxiv:1610.07652 v2 · 2016-10-24 · 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{7G3JLGZ7B3IHRC2HQGBZLDWJBV}

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	2026-05-18T01:01:08.041481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b6959b3f0ed0788b478183958ec90d56879dd364868cd196fb6c21c4f71f63

Aliases

arxiv: 1610.07652 · arxiv_version: 1610.07652v2 · doi: 10.48550/arxiv.1610.07652 · pith_short_12: 7G3JLGZ7B3IH · pith_short_16: 7G3JLGZ7B3IHRC2H · pith_short_8: 7G3JLGZ7

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/7G3JLGZ7B3IHRC2HQGBZLDWJBV \
  | 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: f9b6959b3f0ed0788b478183958ec90d56879dd364868cd196fb6c21c4f71f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ccdb29280548754f4861dbbd7610c694f3857a1006e69413fea500359a4d910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-24T21:05:08Z",
    "title_canon_sha256": "2e841e710b23719a9b4d1dd48fd3e7cfc9be70d8426e3cd7c5d155c4f811684f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07652",
    "kind": "arxiv",
    "version": 2
  }
}