Pith Number

pith:QD2CXUND

pith:2014:QD2CXUNDJ6YBSK43AMKDRWNSA5

not attested not anchored not stored refs pending

Spherical harmonics with maximal Lp (2<p<=6) norm growth

Xiaolong Han

arxiv:1404.5016 v1 · 2014-04-20 · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QD2CXUNDJ6YBSK43AMKDRWNSA5}

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	2026-05-18T02:53:52.211577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f42bd1a34fb0192b9b031438d9b2077bd76d7959bba052feb8358fae4c4ef4

Aliases

arxiv: 1404.5016 · arxiv_version: 1404.5016v1 · doi: 10.48550/arxiv.1404.5016 · pith_short_12: QD2CXUNDJ6YB · pith_short_16: QD2CXUNDJ6YBSK43 · pith_short_8: QD2CXUND

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/QD2CXUNDJ6YBSK43AMKDRWNSA5 \
  | 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: 80f42bd1a34fb0192b9b031438d9b2077bd76d7959bba052feb8358fae4c4ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f87b26722ce7aec361c36ad35a4f769fed6fb6f7e12d697a5618118afd78873",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-20T05:43:23Z",
    "title_canon_sha256": "64a9ff0b2bf3f26ca36873faaefae6e9715c393d81c24f82c3f98a5f7cdecd6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5016",
    "kind": "arxiv",
    "version": 1
  }
}