Pith Number

pith:R4RQCOQG

pith:2011:R4RQCOQG5ZGCWDCGB3O464HALD

not attested not anchored not stored refs pending

$L^p$ norms of higher rank eigenfunctions and bounds for spherical functions

Simon Marshall

arxiv:1106.0534 v4 · 2011-06-02 · math.AP · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4RQCOQG5ZGCWDCGB3O464HALD}

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	2026-05-18T01:12:15.196892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f23013a06ee4c2b0c460eddcf70e058d1cb97407ac22f8eccc6c07b018868c9

Aliases

arxiv: 1106.0534 · arxiv_version: 1106.0534v4 · doi: 10.48550/arxiv.1106.0534 · pith_short_12: R4RQCOQG5ZGC · pith_short_16: R4RQCOQG5ZGCWDCG · pith_short_8: R4RQCOQG

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/R4RQCOQG5ZGCWDCGB3O464HALD \
  | 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: 8f23013a06ee4c2b0c460eddcf70e058d1cb97407ac22f8eccc6c07b018868c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24201e6801eb80c70ea37a247f6e56a6e78a560ca4d700622a648c63bab7fc92",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-02T23:20:00Z",
    "title_canon_sha256": "c8a5bfa69fd838fbfd9c0d87f9ac0236a450631a6a311a0f01e1ad1551381f2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0534",
    "kind": "arxiv",
    "version": 4
  }
}