Pith Number

pith:DM6APRQN

pith:2022:DM6APRQNQJWAX5M6CJQPYSG4YJ

not attested not anchored not stored refs pending

$L^p$-Norm Bounds for Automorphic Forms via Spectral Reciprocity

Peter Humphries, Rizwanur Khan

arxiv:2208.05613 v3 · 2022-08-11 · math.NT · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DM6APRQNQJWAX5M6CJQPYSG4YJ}

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

2 papers in Pith

$L^4$ norm of spectral projectors on polynomially small frequency intervals for $S^1$-symmetric surfaces

Strong Hybrid Subconvexity for Twisted Selfdual $\mathrm{GL}_3$ $L$-Functions

Receipt and verification

First computed	2026-07-05T11:26:40.375294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3c07c60d826c0bf59e1260fc48dcc25c79701198d1f48b21f8382e752a9d24

Aliases

arxiv: 2208.05613 · arxiv_version: 2208.05613v3 · doi: 10.48550/arxiv.2208.05613 · pith_short_12: DM6APRQNQJWA · pith_short_16: DM6APRQNQJWAX5M6 · pith_short_8: DM6APRQN

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/DM6APRQNQJWAX5M6CJQPYSG4YJ \
  | 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: 1b3c07c60d826c0bf59e1260fc48dcc25c79701198d1f48b21f8382e752a9d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf4c7cb5bdefde8cd987a202ae193071c26703b819d94064a96863893baac20",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-08-11T02:37:35Z",
    "title_canon_sha256": "4ae001b28e05ac36296a408b87c29fb0bfb46435badea06755461d6d92c6fe81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.05613",
    "kind": "arxiv",
    "version": 3
  }
}