Pith Number

pith:Q3DAFUBS

pith:2025:Q3DAFUBS34PBUUA47WZTLVXG5X

not attested not anchored not stored refs pending

Decorrelation of $\mathrm{SO}(5)\times \mathrm{SO}(2)$ Bessel periods for symmetric cubes of $\mathrm{GL}(2)$

Shenghao Hua, Xinchen Miao

arxiv:2508.15964 v2 · 2025-08-21 · 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{Q3DAFUBS34PBUUA47WZTLVXG5X}

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	2026-07-05T11:58:36.496030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c602d032df1e1a501cfdb335d6e6edfae345ee2e9c310235517e1fc28bcf97

Aliases

arxiv: 2508.15964 · arxiv_version: 2508.15964v2 · doi: 10.48550/arxiv.2508.15964 · pith_short_12: Q3DAFUBS34PB · pith_short_16: Q3DAFUBS34PBUUA4 · pith_short_8: Q3DAFUBS

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/Q3DAFUBS34PBUUA47WZTLVXG5X \
  | 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: 86c602d032df1e1a501cfdb335d6e6edfae345ee2e9c310235517e1fc28bcf97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3ddc82b716d5fc47ba6a9d66a263bedc2a2ece8cdf06bf83195531ef656d4dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-21T21:16:58Z",
    "title_canon_sha256": "22ab69c6fdf6cfc09e682956a372c0530e1f43aaab79e22d316a805fcc25fa48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.15964",
    "kind": "arxiv",
    "version": 2
  }
}