Pith Number

pith:HDL3YSIJ

pith:2018:HDL3YSIJ4S3W4RNAHSW5MMD2TG

not attested not anchored not stored refs pending

Sub-convexity problem for Rankin-Selberg $L$-functions

Chandrasekhar Raju

arxiv:1807.11092 v1 · 2018-07-29 · 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{HDL3YSIJ4S3W4RNAHSW5MMD2TG}

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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

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions

Receipt and verification

First computed	2026-05-18T00:09:32.971570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38d7bc4909e4b76e45a03cadd6307a99b65b4c06f2ba9196d9e95c9e32a7e534

Aliases

arxiv: 1807.11092 · arxiv_version: 1807.11092v1 · doi: 10.48550/arxiv.1807.11092 · pith_short_12: HDL3YSIJ4S3W · pith_short_16: HDL3YSIJ4S3W4RNA · pith_short_8: HDL3YSIJ

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/HDL3YSIJ4S3W4RNAHSW5MMD2TG \
  | 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: 38d7bc4909e4b76e45a03cadd6307a99b65b4c06f2ba9196d9e95c9e32a7e534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c087dc8296049e24f30ef0269ac89ab5f686c2e64aa1468b96e0531be65147fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-29T18:08:08Z",
    "title_canon_sha256": "bcc0735a866d38a1de6226c3626ae7dfb89213caad46e816ba87895c856b6881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11092",
    "kind": "arxiv",
    "version": 1
  }
}