Pith Number

pith:M4CEXNIJ

pith:2019:M4CEXNIJVBXF3LUDQUXOL3EF6Q

not attested not anchored not stored refs pending

The ${\rm BMO}\to{\rm BLO}$ action of the maximal operator on $\alpha$-trees

Adam Os\c{e}kowski, Leonid Slavin, Vasily Vasyunin

arxiv:1908.04028 v1 · 2019-08-12 · 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{M4CEXNIJVBXF3LUDQUXOL3EF6Q}

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	2026-07-04T23:53:20.149513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67044bb509a86e5dae83852ee5ec85f41d99a2ab063739809a94001950a70325

Aliases

arxiv: 1908.04028 · arxiv_version: 1908.04028v1 · doi: 10.48550/arxiv.1908.04028 · pith_short_12: M4CEXNIJVBXF · pith_short_16: M4CEXNIJVBXF3LUD · pith_short_8: M4CEXNIJ

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/M4CEXNIJVBXF3LUDQUXOL3EF6Q \
  | 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: 67044bb509a86e5dae83852ee5ec85f41d99a2ab063739809a94001950a70325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e6dc10aba29be20bf92d95a41637e589f064f4e89f45751a8f9193f1cf3448",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-12T07:05:23Z",
    "title_canon_sha256": "0376dc11a5ab9acc6fa600769f2cd9469c6f261fe5411b7882bd6c0fe9d97e52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04028",
    "kind": "arxiv",
    "version": 1
  }
}