Pith Number

pith:VRUJ5ONZ

pith:2026:VRUJ5ONZUYY3PSFCKRX2XGBCDO

not attested not anchored not stored refs pending

Shifted convolution sums of coefficients of symmetric power $L$-functions with $k$-full kernels over sums of squares in arithmetic progressions

Arnab Mitra, Jewel Mahajan

arxiv:2606.30618 v1 · 2026-06-29 · 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{VRUJ5ONZUYY3PSFCKRX2XGBCDO}

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	2026-06-30T02:18:23.033484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac689eb9b9a631b7c8a2546fab98221b82d2b334823a6e7bb6366f5861245ea3

Aliases

arxiv: 2606.30618 · arxiv_version: 2606.30618v1 · doi: 10.48550/arxiv.2606.30618 · pith_short_12: VRUJ5ONZUYY3 · pith_short_16: VRUJ5ONZUYY3PSFC · pith_short_8: VRUJ5ONZ

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/VRUJ5ONZUYY3PSFCKRX2XGBCDO \
  | 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: ac689eb9b9a631b7c8a2546fab98221b82d2b334823a6e7bb6366f5861245ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d58d06dd96cccfe279436e1233c79424fa149104eee3032508db10f2f8d0fa72",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-29T17:52:18Z",
    "title_canon_sha256": "76495d3acb4a26e10a1f5f6e7a06b87e7de88493371307d6438e8513aa092ab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30618",
    "kind": "arxiv",
    "version": 1
  }
}