Pith Number

pith:AWCL7NCX

pith:2023:AWCL7NCX5PMCD6QXVN5VA5KFWS

not attested not anchored not stored refs pending

Spectral Moment Formulae for $\hbox{GL}(3)\times \hbox{GL}(2)$ $\hbox{L}$-functions II: The Eisenstein Case

Chung-Hang Kwan

arxiv:2310.09419 v3 · 2023-10-13 · 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{AWCL7NCX5PMCD6QXVN5VA5KFWS}

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

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

Receipt and verification

First computed	2026-07-23T01:24:12.153287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0584bfb457ebd821fa17ab7b507545b4ae46e4e9ca3a856571ea42c6d36bead5

Aliases

arxiv: 2310.09419 · arxiv_version: 2310.09419v3 · doi: 10.48550/arxiv.2310.09419 · pith_short_12: AWCL7NCX5PMC · pith_short_16: AWCL7NCX5PMCD6QX · pith_short_8: AWCL7NCX

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/AWCL7NCX5PMCD6QXVN5VA5KFWS \
  | 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: 0584bfb457ebd821fa17ab7b507545b4ae46e4e9ca3a856571ea42c6d36bead5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418532f60a81222e62060656223c0fb91c45f0f2599dedd0b0fa6dae64aab523",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-10-13T21:50:50Z",
    "title_canon_sha256": "b49e77dd4a39cf3dd3533b76c018278b4d1950b33e82f595cf44e901b4fa16ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.09419",
    "kind": "arxiv",
    "version": 3
  }
}