Pith Number

pith:UANMZBDL

pith:2014:UANMZBDLCQAGH7KV5IYKRWWXHA

not attested not anchored not stored refs pending

Hybrid subconvexity bounds for $L \left(\tfrac{1}{2}, \text{Sym}^2 f \otimes g\right)$

Ritabrata Munshi, Roman Holowinsky, Zhi Qi

arxiv:1401.6695 v1 · 2014-01-26 · 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{UANMZBDLCQAGH7KV5IYKRWWXHA}

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	2026-05-18T03:01:00.959656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a01acc846b140063fd55ea30a8dad738345981e563a9f1b81d199b0e3cca8b59

Aliases

arxiv: 1401.6695 · arxiv_version: 1401.6695v1 · doi: 10.48550/arxiv.1401.6695 · pith_short_12: UANMZBDLCQAG · pith_short_16: UANMZBDLCQAGH7KV · pith_short_8: UANMZBDL

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/UANMZBDLCQAGH7KV5IYKRWWXHA \
  | 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: a01acc846b140063fd55ea30a8dad738345981e563a9f1b81d199b0e3cca8b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4aeb4551c2f98d3c8222b066463fb81473f536192ab0e0c9d18389b762e3ada",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-26T21:44:40Z",
    "title_canon_sha256": "32bfa0bb47edc41d547430331492fdabaca0a841e9745e579d4fdaf4f120d3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6695",
    "kind": "arxiv",
    "version": 1
  }
}