Pith Number

pith:KN5EKK2K

pith:2010:KN5EKK2K7Y6SBKNPVDLTV7OV7T

not attested not anchored not stored refs pending

A new look at the John-Nirenberg and John-Stromberg theorems for BMO. Lecture Notes

Michael Cwikel, Pavel Shvartsman, Yoram Sagher

arxiv:1011.0766 v1 · 2010-11-02 · math.FA · 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{KN5EKK2K7Y6SBKNPVDLTV7OV7T}

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	2026-05-18T04:37:12.411636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

537a452b4afe3d20a9afa8d73afdd5fcfc4cc61612b019f310c7a6bd1cf13e59

Aliases

arxiv: 1011.0766 · arxiv_version: 1011.0766v1 · doi: 10.48550/arxiv.1011.0766 · pith_short_12: KN5EKK2K7Y6S · pith_short_16: KN5EKK2K7Y6SBKNP · pith_short_8: KN5EKK2K

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/KN5EKK2K7Y6SBKNPVDLTV7OV7T \
  | 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: 537a452b4afe3d20a9afa8d73afdd5fcfc4cc61612b019f310c7a6bd1cf13e59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "403e49269f712f7aa35ddc98ef3cef65371d3baa81c0884e9ef83d48309ed138",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-02T22:42:46Z",
    "title_canon_sha256": "f8d9396f188b86e93a03c0542727b62acc8cd326945ba15c26f9219cc0c78d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0766",
    "kind": "arxiv",
    "version": 1
  }
}