Pith Number

pith:X4OGGVAN

pith:2016:X4OGGVANOEIIW43FDJSWUVTXCD

not attested not anchored not stored refs pending

The John--Nirenberg constant of ${\rm BMO}^p$, $p>2$

Leonid Slavin, Vasily Vasyunin

arxiv:1601.03848 v1 · 2016-01-15 · 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{X4OGGVANOEIIW43FDJSWUVTXCD}

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	2026-05-18T01:22:49.870751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1c63540d71108b73651a656a567710c623ca74d63e9ff74081cb77ff1cc9a7

Aliases

arxiv: 1601.03848 · arxiv_version: 1601.03848v1 · doi: 10.48550/arxiv.1601.03848 · pith_short_12: X4OGGVANOEII · pith_short_16: X4OGGVANOEIIW43F · pith_short_8: X4OGGVAN

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/X4OGGVANOEIIW43FDJSWUVTXCD \
  | 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: bf1c63540d71108b73651a656a567710c623ca74d63e9ff74081cb77ff1cc9a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e8b4ea8580a990731e3c36bdab668133dafe19eaaf3016b02679f314f07a31a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-15T09:18:17Z",
    "title_canon_sha256": "f3f952a5d887ab67febb388c1a15fa23d529ceb422945f9317fe7a4563e88e77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03848",
    "kind": "arxiv",
    "version": 1
  }
}