Pith Number

pith:YUMBTRHT

pith:2018:YUMBTRHTBFKCPHM453HGGUEFGS

not attested not anchored not stored refs pending

New Martingale Inequalities and Applications to Fourier Analysis

Dachun Yang, Ferenc Weisz, Guangheng Xie, Yong Jiao

arxiv:1810.05007 v1 · 2018-10-11 · math.CA · math.FA · 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{YUMBTRHTBFKCPHM453HGGUEFGS}

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	2026-05-18T00:03:35.269589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c51819c4f30954279d9ceece635085348732c3f2dff29d7013d6aa481a4e08e2

Aliases

arxiv: 1810.05007 · arxiv_version: 1810.05007v1 · doi: 10.48550/arxiv.1810.05007 · pith_short_12: YUMBTRHTBFKC · pith_short_16: YUMBTRHTBFKCPHM4 · pith_short_8: YUMBTRHT

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/YUMBTRHTBFKCPHM453HGGUEFGS \
  | 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: c51819c4f30954279d9ceece635085348732c3f2dff29d7013d6aa481a4e08e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03121bb3d63ef0de5a184e5fb3e36a43f757e1ae7469fe6d671a2b42f63ca6d6",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-11T13:26:05Z",
    "title_canon_sha256": "75bcfd0ff0c72e7e484edb303849763be88e7d70ed2d8d787a8c6fdea597faf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05007",
    "kind": "arxiv",
    "version": 1
  }
}