pith. sign in
Pith Number

pith:XSBCPZXA

pith:2015:XSBCPZXAFHVW44ZZIHYQNKTOOQ
not attested not anchored not stored refs pending

A Multi-variable Rankin-Selberg Integral for a Product of $GL_2$-twisted Spinor $L$-functions

Joseph Hundley, Xin Shen

arxiv:1505.01045 v1 · 2015-05-05 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XSBCPZXAFHVW44ZZIHYQNKTOOQ}

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 2026-05-18T02:16:52.085198Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bc8227e6e029eb6e733941f106aa6e741b7f3aa14d91c044f90a9698f0139b17

Aliases

arxiv: 1505.01045 · arxiv_version: 1505.01045v1 · doi: 10.48550/arxiv.1505.01045 · pith_short_12: XSBCPZXAFHVW · pith_short_16: XSBCPZXAFHVW44ZZ · pith_short_8: XSBCPZXA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSBCPZXAFHVW44ZZIHYQNKTOOQ \
  | 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: bc8227e6e029eb6e733941f106aa6e741b7f3aa14d91c044f90a9698f0139b17
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1548328089df4e61c1fcbbd7f82b17106bf414dfb37749ef164148ff23715c37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-05T15:35:32Z",
    "title_canon_sha256": "a8f65863e885606192bf6027a5884d02b9b8876523ea6fbdf55b1d3609aeced4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01045",
    "kind": "arxiv",
    "version": 1
  }
}