Pith Number

pith:4V7TFEYR

pith:2019:4V7TFEYR6OFTLYRUTO5CSSY5UL

not attested not anchored not stored refs pending

Dimension-free estimates for semigroup BMO and $A_p$

Leonid Slavin, Pavel Zatitskii

arxiv:1908.02602 v2 · 2019-08-07 · 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{4V7TFEYR6OFTLYRUTO5CSSY5UL}

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	2026-07-04T23:59:15.267594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57f329311f38b35e2349bba294b1da2ee62d0bdc4b9bbf81e7c5a5a612f0d13

Aliases

arxiv: 1908.02602 · arxiv_version: 1908.02602v2 · doi: 10.48550/arxiv.1908.02602 · pith_short_12: 4V7TFEYR6OFT · pith_short_16: 4V7TFEYR6OFTLYRU · pith_short_8: 4V7TFEYR

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/4V7TFEYR6OFTLYRUTO5CSSY5UL \
  | 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: e57f329311f38b35e2349bba294b1da2ee62d0bdc4b9bbf81e7c5a5a612f0d13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed19b2f6c5cdab6481d66326bf02fb34fec1c2972a6af05f8b42b0450a95fe53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-07T12:49:48Z",
    "title_canon_sha256": "888a6f9d80c03bdd8591b33f7fccf25937ad428957284ffb67ba11fd6af807dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02602",
    "kind": "arxiv",
    "version": 2
  }
}