Pith Number

pith:2RL7PSU6

pith:2014:2RL7PSU6QURJMKL3QKMSPVR4RH

not attested not anchored not stored refs pending

The predual and John-Nirenberg inequalities on generalized BMO martingale spaces

Anming Yang, Lian Wu, Rui Yi, Yong Jiao

arxiv:1408.4641 v1 · 2014-08-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RL7PSU6QURJMKL3QKMSPVR4RH}

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	2026-05-18T00:49:52.833574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d457f7ca9e852296297b829927d63c89ddfbec37c915e70175a772adac6079ac

Aliases

arxiv: 1408.4641 · arxiv_version: 1408.4641v1 · doi: 10.48550/arxiv.1408.4641 · pith_short_12: 2RL7PSU6QURJ · pith_short_16: 2RL7PSU6QURJMKL3 · pith_short_8: 2RL7PSU6

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/2RL7PSU6QURJMKL3QKMSPVR4RH \
  | 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: d457f7ca9e852296297b829927d63c89ddfbec37c915e70175a772adac6079ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b996121670c5a06a1472fb8ba7f52f3192a8da192bc480da3d261b5301c84f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-20T13:11:18Z",
    "title_canon_sha256": "dd59a646305c548a99665455d87937067e222ef6f385b81534bf05e9e43b7735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4641",
    "kind": "arxiv",
    "version": 1
  }
}