Pith Number

pith:O2QF2OE5

pith:2021:O2QF2OE5N4PUWEPRZIA2XMCTGZ

not attested not anchored not stored refs pending

Moderate and $L^p$ maximal inequalities for diffusion processes and conformal martingales

Chen Jia, Mumien Cheng, Xian Chen, Yong Chen

arxiv:2111.02641 v1 · 2021-11-04 · 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{O2QF2OE5N4PUWEPRZIA2XMCTGZ}

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	2026-07-05T03:29:06.954648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a05d389d6f1f4b11f1ca01abb0533652b83bc779bc46982502cb9bbe783aaa

Aliases

arxiv: 2111.02641 · arxiv_version: 2111.02641v1 · doi: 10.48550/arxiv.2111.02641 · pith_short_12: O2QF2OE5N4PU · pith_short_16: O2QF2OE5N4PUWEPR · pith_short_8: O2QF2OE5

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/O2QF2OE5N4PUWEPRZIA2XMCTGZ \
  | 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: 76a05d389d6f1f4b11f1ca01abb0533652b83bc779bc46982502cb9bbe783aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "447c154e1eef7c1a586f9407cca8698db7ad14a98797018bab7c25601de92ff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-04T05:25:14Z",
    "title_canon_sha256": "bfd38bffc8c34623b9ca40e9555b5cb3ef6efa6816c23545d15d4d847c11870e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.02641",
    "kind": "arxiv",
    "version": 1
  }
}