Pith Number

pith:6I6QQDXX

pith:2013:6I6QQDXXELJO6V2QD7RZORGUM4

not attested not anchored not stored refs pending

On the maximal inequalities of Burkholder, Davis and Gundy

Carlo Marinelli, Michael R\"ockner

arxiv:1308.2418 v1 · 2013-08-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6I6QQDXXELJO6V2QD7RZORGUM4}

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	2026-05-18T03:16:07.478657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23d080ef722d2ef57501fe39744d4671ef9012699ae5615a26651cdcb8a9c51

Aliases

arxiv: 1308.2418 · arxiv_version: 1308.2418v1 · doi: 10.48550/arxiv.1308.2418 · pith_short_12: 6I6QQDXXELJO · pith_short_16: 6I6QQDXXELJO6V2Q · pith_short_8: 6I6QQDXX

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/6I6QQDXXELJO6V2QD7RZORGUM4 \
  | 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: f23d080ef722d2ef57501fe39744d4671ef9012699ae5615a26651cdcb8a9c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4148d69d055459731d1b12e55d71b9c99634d62e9f826b2731bae2e18848afea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-11T18:40:38Z",
    "title_canon_sha256": "5986f61674b2c1e1938b904b79c5d47a179579cd0cc019e706e930418639d02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2418",
    "kind": "arxiv",
    "version": 1
  }
}