Pith Number

pith:KJWRUACH

pith:2017:KJWRUACH2O3YGVLLHDKN3LZTWJ

not attested not anchored not stored refs pending

Subconvexity for symmetric square $L$-functions

Ritabrata Munshi

arxiv:1709.05615 v1 · 2017-09-17 · 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{KJWRUACH2O3YGVLLHDKN3LZTWJ}

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	2026-05-18T00:35:00.121814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526d1a0047d3b783556b38d4ddaf33b255367bef232391a56111fedceb61a4e4

Aliases

arxiv: 1709.05615 · arxiv_version: 1709.05615v1 · doi: 10.48550/arxiv.1709.05615 · pith_short_12: KJWRUACH2O3Y · pith_short_16: KJWRUACH2O3YGVLL · pith_short_8: KJWRUACH

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/KJWRUACH2O3YGVLLHDKN3LZTWJ \
  | 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: 526d1a0047d3b783556b38d4ddaf33b255367bef232391a56111fedceb61a4e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03d03ecebae9da6830204c190e8afd2c12878b63c6eb3f2ecf3f4848c5d51bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-17T07:12:35Z",
    "title_canon_sha256": "862e844da103b3ae835e3db6988df013d67005399f7bbf8b94ae5fc37890569e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05615",
    "kind": "arxiv",
    "version": 1
  }
}