Pith Number

pith:3JUQD3LH

pith:2011:3JUQD3LHQAQXLYUJ5LZKKSCA2X

not attested not anchored not stored refs pending

Sharp theorems on multipliers and distances in harmonic function spaces in higher dimension

Milo\v{s} Arsenovi\'c, Romi F. Shamoyan

arxiv:1106.5481 v1 · 2011-06-27 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JUQD3LHQAQXLYUJ5LZKKSCA2X}

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	2026-05-18T03:48:48.160749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6901ed67802175e289eaf2a54840d5c21aeb7fcb82be74485a05cbc6cfba8b

Aliases

arxiv: 1106.5481 · arxiv_version: 1106.5481v1 · doi: 10.48550/arxiv.1106.5481 · pith_short_12: 3JUQD3LHQAQX · pith_short_16: 3JUQD3LHQAQXLYUJ · pith_short_8: 3JUQD3LH

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/3JUQD3LHQAQXLYUJ5LZKKSCA2X \
  | 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: da6901ed67802175e289eaf2a54840d5c21aeb7fcb82be74485a05cbc6cfba8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad6f77034f092d18325f6d35e7d4614433cfd1a33ac0afca3ea60d0c8edbe86",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-06-27T19:45:18Z",
    "title_canon_sha256": "e9cc2a3ac81d9b9c56747b898b342e9bbe450fc521aa33655709cbdbefacf06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5481",
    "kind": "arxiv",
    "version": 1
  }
}