Pith Number

pith:FWXDMFB5

pith:2013:FWXDMFB566VLKGV37WJ52SGEGK

not attested not anchored not stored refs pending

Compactness properties of commutators of bilinear fractional integrals

\'Arp\'ad B\'enyi, Kabe Moen, Rodolfo H. Torres, Wendol\'in Dami\'an

arxiv:1310.3865 v1 · 2013-10-14 · 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{FWXDMFB566VLKGV37WJ52SGEGK}

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	2026-05-18T03:10:25.788424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dae36143df7aab51abbfd93dd48c432acdb98302405e6fe67d7a407051c89f4

Aliases

arxiv: 1310.3865 · arxiv_version: 1310.3865v1 · doi: 10.48550/arxiv.1310.3865 · pith_short_12: FWXDMFB566VL · pith_short_16: FWXDMFB566VLKGV3 · pith_short_8: FWXDMFB5

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/FWXDMFB566VLKGV37WJ52SGEGK \
  | 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: 2dae36143df7aab51abbfd93dd48c432acdb98302405e6fe67d7a407051c89f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7dd171f0e7eb333e7f77229b4d4b6c19ae6bf34c937a642b01279b1b1ca6b3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-14T21:44:57Z",
    "title_canon_sha256": "fce2424ecf6479e95e08feca01e345d92cf89d554237f71dadfc5d042e8d2236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3865",
    "kind": "arxiv",
    "version": 1
  }
}