Pith Number

pith:G2E264B3

pith:2019:G2E264B3UP4KJKAMXGND6LEJ7K

not attested not anchored not stored refs pending

Sharp transference principle for $\mathrm{BMO}$ and $A_p$

Dmitriy Stolyarov, Pavel Zatitskiy

arxiv:1908.09497 v1 · 2019-08-26 · math.CA · 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{G2E264B3UP4KJKAMXGND6LEJ7K}

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	2026-07-04T23:59:40.772735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3689af703ba3f8a4a80cb99a3f2c89fa8220e27d8e793256ee1a2e15e9f418be

Aliases

arxiv: 1908.09497 · arxiv_version: 1908.09497v1 · doi: 10.48550/arxiv.1908.09497 · pith_short_12: G2E264B3UP4K · pith_short_16: G2E264B3UP4KJKAM · pith_short_8: G2E264B3

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/G2E264B3UP4KJKAMXGND6LEJ7K \
  | 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: 3689af703ba3f8a4a80cb99a3f2c89fa8220e27d8e793256ee1a2e15e9f418be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2965b769359beffef4233da999fcd6d9bff39385a78e8b0238a94c4e3635a369",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-26T07:01:53Z",
    "title_canon_sha256": "6035272843519fe44c709b79c317e0411757a58d008881332e478da10ffd73ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09497",
    "kind": "arxiv",
    "version": 1
  }
}