Pith Number

pith:LEEVJHBC

pith:2014:LEEVJHBCPGFRSODYOMQ3NBJRP2

not attested not anchored not stored refs pending

A Characterization of BMO^\alpha-martingale spaces by fractional Carleson measures

Chao Zhang, Peide Liu, Wei Chen

arxiv:1404.7721 v2 · 2014-04-30 · 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{LEEVJHBCPGFRSODYOMQ3NBJRP2}

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	2026-05-18T02:52:13.817379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5909549c22798b1938787321b685317eabe49e0df87fa27314520565d7f0f1e9

Aliases

arxiv: 1404.7721 · arxiv_version: 1404.7721v2 · doi: 10.48550/arxiv.1404.7721 · pith_short_12: LEEVJHBCPGFR · pith_short_16: LEEVJHBCPGFRSODY · pith_short_8: LEEVJHBC

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/LEEVJHBCPGFRSODYOMQ3NBJRP2 \
  | 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: 5909549c22798b1938787321b685317eabe49e0df87fa27314520565d7f0f1e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a58cce476a8ed598b919576bbc1c56ce6a7a074e00f070d44f09af0de1d0b24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-30T13:42:09Z",
    "title_canon_sha256": "7e7814674ebe431c109e810ad235e2df875434c6b7cf64ae632a0e4151c2b576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7721",
    "kind": "arxiv",
    "version": 2
  }
}