Pith Number

pith:D6FG5BZT

pith:2015:D6FG5BZTATXBG2VTCHUGMDMIHS

not attested not anchored not stored refs pending

Noncommutative Burkholder/Rosenthal inequalities associated with convex functions

Lian Wu, Narcisse Randrianantoanina

arxiv:1506.04134 v1 · 2015-06-12 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6FG5BZTATXBG2VTCHUGMDMIHS}

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	2026-05-18T01:51:18.216866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f8a6e873304ee136ab311e8660d883c9f5c75d302c03e64190c68bc28db8c58

Aliases

arxiv: 1506.04134 · arxiv_version: 1506.04134v1 · doi: 10.48550/arxiv.1506.04134 · pith_short_12: D6FG5BZTATXB · pith_short_16: D6FG5BZTATXBG2VT · pith_short_8: D6FG5BZT

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/D6FG5BZTATXBG2VTCHUGMDMIHS \
  | 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: 1f8a6e873304ee136ab311e8660d883c9f5c75d302c03e64190c68bc28db8c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa28f8fec095add6eb5104ce8ba11e7b59b02d9ba3c4a8f1e31af04a4ae3a9df",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-12T19:57:02Z",
    "title_canon_sha256": "ff3b054d69ba4bcc37c16978269754d44cd65ac8cfb7f451ad5bf257f1223b6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04134",
    "kind": "arxiv",
    "version": 1
  }
}