Pith Number

pith:TUHOLVBX

pith:2021:TUHOLVBXVVH4RNL46S5WKXHLJI

not attested not anchored not stored refs pending

Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions I: The Cuspidal Case

Chung-Hang Kwan

arxiv:2112.08568 v4 · 2021-12-16 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUHOLVBXVVH4RNL46S5WKXHLJI}

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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

Strong Hybrid Subconvexity for Twisted Selfdual $\mathrm{GL}_3$ $L$-Functions

Receipt and verification

First computed	2026-07-05T09:17:04.722691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d0ee5d437ad4fc8b57cf4bb655ceb4a10395f749e46e9de1e5076c2c55f738e

Aliases

arxiv: 2112.08568 · arxiv_version: 2112.08568v4 · doi: 10.48550/arxiv.2112.08568 · pith_short_12: TUHOLVBXVVH4 · pith_short_16: TUHOLVBXVVH4RNL4 · pith_short_8: TUHOLVBX

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/TUHOLVBXVVH4RNL46S5WKXHLJI \
  | 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: 9d0ee5d437ad4fc8b57cf4bb655ceb4a10395f749e46e9de1e5076c2c55f738e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2612e185d92e0705fa2e867f8be738d20d6e0f2ce97154412b5e8e37b0012796",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-16T02:12:04Z",
    "title_canon_sha256": "b49943e7824af003a6a61c68dd6cc7bfbfb6047edae668dd618470af8f31cb0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08568",
    "kind": "arxiv",
    "version": 4
  }
}