Pith Number

pith:WM3B4XSY

pith:2014:WM3B4XSYRTUUJFE5PBCROQNJMO

not attested not anchored not stored refs pending

Holder's inequalities involving the infinite product and their applications in martingale spaces

Longbin Jia, Wei Chen, Yong Jiao

arxiv:1401.1439 v5 · 2014-01-07 · 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{WM3B4XSYRTUUJFE5PBCROQNJMO}

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	2026-05-18T01:11:51.944028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3361e5e588ce944949d78451741a963befbfd296eddffed55aea8c3ee824337

Aliases

arxiv: 1401.1439 · arxiv_version: 1401.1439v5 · doi: 10.48550/arxiv.1401.1439 · pith_short_12: WM3B4XSYRTUU · pith_short_16: WM3B4XSYRTUUJFE5 · pith_short_8: WM3B4XSY

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/WM3B4XSYRTUUJFE5PBCROQNJMO \
  | 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: b3361e5e588ce944949d78451741a963befbfd296eddffed55aea8c3ee824337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76714f91ca642a33c852e134dc9aa9c9ab3ece62d562c8424c0198ed0f1d606e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-07T16:45:51Z",
    "title_canon_sha256": "caf6b54565813bd96d003e2352421e5f9882d5c1e4fc5acf51f7a3bdb703334c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1439",
    "kind": "arxiv",
    "version": 5
  }
}