Pith Number

pith:PDZFONK4

pith:2015:PDZFONK42ILBKBWR6WZJSHY5YY

not attested not anchored not stored refs pending

The local sharp maximal function and BMO on locally homogeneous spaces

Marco Bramanti, Maria Stella Fanciullo

arxiv:1511.02384 v1 · 2015-11-07 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDZFONK42ILBKBWR6WZJSHY5YY}

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	2026-05-18T01:27:30.431600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f257355cd2161506d1f5b2991f1dc609646b6142fecb8f8271d00733506787

Aliases

arxiv: 1511.02384 · arxiv_version: 1511.02384v1 · doi: 10.48550/arxiv.1511.02384 · pith_short_12: PDZFONK42ILB · pith_short_16: PDZFONK42ILBKBWR · pith_short_8: PDZFONK4

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/PDZFONK42ILBKBWR6WZJSHY5YY \
  | 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: 78f257355cd2161506d1f5b2991f1dc609646b6142fecb8f8271d00733506787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f875916efa23bbafba043c90e8ce87122dbeb0f25ec703aa0918a13c26ca545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-07T18:27:44Z",
    "title_canon_sha256": "86529b6044a14a971e30437f646a4f7891405de35dc98f77877ebfb64228c020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02384",
    "kind": "arxiv",
    "version": 1
  }
}