Pith Number

pith:HS6VVOPM

pith:2015:HS6VVOPMD356TF2NNCB43UZ2ID

not attested not anchored not stored refs pending

Hardy--Littlewood inequalities for the Heckman--Opdam transform

Troels Roussau Johansen

arxiv:1501.06513 v1 · 2015-01-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HS6VVOPMD356TF2NNCB43UZ2ID}

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	2026-05-18T02:28:41.145952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cbd5ab9ec1efbe9974d6883cdd33a40cb50bf8580f366e8303611fdde1b64a6

Aliases

arxiv: 1501.06513 · arxiv_version: 1501.06513v1 · doi: 10.48550/arxiv.1501.06513 · pith_short_12: HS6VVOPMD356 · pith_short_16: HS6VVOPMD356TF2N · pith_short_8: HS6VVOPM

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/HS6VVOPMD356TF2NNCB43UZ2ID \
  | 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: 3cbd5ab9ec1efbe9974d6883cdd33a40cb50bf8580f366e8303611fdde1b64a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f9d32045860e782d3b0822f51ef4ea3d099b14d113d1ab349249b04d0a62254",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-26T18:30:05Z",
    "title_canon_sha256": "f9b475e731b977aa4bee19f13deef09d5ced1c7fe1636fa154ac8548629dd667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06513",
    "kind": "arxiv",
    "version": 1
  }
}