Pith Number

pith:JUQQJZFO

pith:2023:JUQQJZFOPK2RZAH5BPH7K7X4RO

not attested not anchored not stored refs pending

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

Chung-Hang Kwan

arxiv:2311.15417 v2 · 2023-11-26 · 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{JUQQJZFOPK2RZAH5BPH7K7X4RO}

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	2026-07-05T08:30:06.278321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d2104e4ae7ab51c80fd0bcff57efc8bb6f0b27a931f439ed2c7775920fbadb1

Aliases

arxiv: 2311.15417 · arxiv_version: 2311.15417v2 · doi: 10.48550/arxiv.2311.15417 · pith_short_12: JUQQJZFOPK2R · pith_short_16: JUQQJZFOPK2RZAH5 · pith_short_8: JUQQJZFO

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/JUQQJZFOPK2RZAH5BPH7K7X4RO \
  | 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: 4d2104e4ae7ab51c80fd0bcff57efc8bb6f0b27a931f439ed2c7775920fbadb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71477f6810da9d8cf6e3a94e1a9451199ed1cb5a78c59dfa78dfb50d875e6645",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-11-26T20:49:15Z",
    "title_canon_sha256": "9ba30f03956d9ff95422ce1ee8cbeab73b1d903e9429385c682f1f91d6f3d281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15417",
    "kind": "arxiv",
    "version": 2
  }
}