Pith Number

pith:SQEYRNJ6

pith:2011:SQEYRNJ6SUM2NTLZJXEJH6NJN2

not attested not anchored not stored refs pending

On the subconvexity problem for $GL(3)\times GL(2)$ $L$-functions

Rizwanur Khan

arxiv:1107.2042 v1 · 2011-07-11 · 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{SQEYRNJ6SUM2NTLZJXEJH6NJN2}

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	2026-05-18T04:18:33.595367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

940988b53e9519a6cd794dc893f9a96ea164eb8cec744c369363911773080c09

Aliases

arxiv: 1107.2042 · arxiv_version: 1107.2042v1 · doi: 10.48550/arxiv.1107.2042 · pith_short_12: SQEYRNJ6SUM2 · pith_short_16: SQEYRNJ6SUM2NTLZ · pith_short_8: SQEYRNJ6

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/SQEYRNJ6SUM2NTLZJXEJH6NJN2 \
  | 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: 940988b53e9519a6cd794dc893f9a96ea164eb8cec744c369363911773080c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3753ff4420570e1360646cc612390ab9b2247abb79f5c33840a0c32571ac3162",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-11T14:37:10Z",
    "title_canon_sha256": "ee86d800a72aec0440b5ecc45ca39a92e13056ac31feeff6afbe59d540fa1f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2042",
    "kind": "arxiv",
    "version": 1
  }
}