Pith Number

pith:FGX27KEZ

pith:2020:FGX27KEZHSGUNGXXIG2DNAT6S6

not attested not anchored not stored refs pending

Subconvexity for $GL(3) \times GL(2)$ $L$-functions in the depth aspect

Kummari Mallesham, Saurabh Kumar Singh, Sumit Kumar

arxiv:2012.12674 v3 · 2020-12-23 · 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{FGX27KEZHSGUNGXXIG2DNAT6S6}

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.

Cited by

1 paper in Pith

First moments of ${\rm{GL}} (3) \times {\rm{GL}} (2)$ and ${\rm{GL}} (2)$ $L$-functions and their applications

Receipt and verification

First computed	2026-07-05T03:23:06.844202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29afafa8993c8d469af741b436827e979a995cfe3c2b9206384f2d3da489fd2d

Aliases

arxiv: 2012.12674 · arxiv_version: 2012.12674v3 · doi: 10.48550/arxiv.2012.12674 · pith_short_12: FGX27KEZHSGU · pith_short_16: FGX27KEZHSGUNGXX · pith_short_8: FGX27KEZ

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/FGX27KEZHSGUNGXXIG2DNAT6S6 \
  | 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: 29afafa8993c8d469af741b436827e979a995cfe3c2b9206384f2d3da489fd2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba819a102c7797cc628ed369e913f9f14c40f6627c4849776e320f1258c367b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-12-23T14:07:22Z",
    "title_canon_sha256": "0f7f1e9732bc4d3416e9e2d1744cad2b2db6b533ebb3489c23d1315056a7bc44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.12674",
    "kind": "arxiv",
    "version": 3
  }
}