Pith Number

pith:K63SERUK

pith:2015:K63SERUK2BQ3AW6Q2Q5IQKJK5G

not attested not anchored not stored refs pending

Hybrid sup-norm bounds for Maass newforms of powerful level

Abhishek Saha

arxiv:1509.07489 v4 · 2015-09-24 · math.NT · math.RT · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K63SERUK2BQ3AW6Q2Q5IQKJK5G}

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	2026-05-18T00:22:30.003287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b722468ad061b05bd0d43a88292ae9a68e81448c9b363da7dfb7865741d50f

Aliases

arxiv: 1509.07489 · arxiv_version: 1509.07489v4 · doi: 10.48550/arxiv.1509.07489 · pith_short_12: K63SERUK2BQ3 · pith_short_16: K63SERUK2BQ3AW6Q · pith_short_8: K63SERUK

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/K63SERUK2BQ3AW6Q2Q5IQKJK5G \
  | 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: 57b722468ad061b05bd0d43a88292ae9a68e81448c9b363da7dfb7865741d50f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e47972d68b6c84c6984b28a8975d2ca213800eb625d897f9d57bab63aa059c75",
    "cross_cats_sorted": [
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-24T19:47:16Z",
    "title_canon_sha256": "859e50be561a7e3efad513f367c78d38152979f1ac7abec4866d44e07a6622f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07489",
    "kind": "arxiv",
    "version": 4
  }
}