Pith Number

pith:L5MOXMVA

pith:2024:L5MOXMVA4EQR7P7YORPLNSPFXJ

not attested not anchored not stored refs pending

Characterization of BMO spaces via commutators of some maximal operators on the slice spaces

J. Wu, Y. Chang, Y. Sun

arxiv:2409.14387 v1 · 2024-09-22 · 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{L5MOXMVA4EQR7P7YORPLNSPFXJ}

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	2026-07-05T09:10:16.017323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f58ebb2a0e1211fbff8745eb6c9e5ba7996d3965ea28dad84d36a62aea231a0

Aliases

arxiv: 2409.14387 · arxiv_version: 2409.14387v1 · doi: 10.48550/arxiv.2409.14387 · pith_short_12: L5MOXMVA4EQR · pith_short_16: L5MOXMVA4EQR7P7Y · pith_short_8: L5MOXMVA

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/L5MOXMVA4EQR7P7YORPLNSPFXJ \
  | 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: 5f58ebb2a0e1211fbff8745eb6c9e5ba7996d3965ea28dad84d36a62aea231a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9765e218bbfdc0e037598a6a4bba298e4dc9aaa0e71ed716088582bc4c4bf679",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-09-22T10:11:46Z",
    "title_canon_sha256": "f5ca5182bed5c867c484df3f4fd46e6630ec5dc4511d514d02123751394bf760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.14387",
    "kind": "arxiv",
    "version": 1
  }
}