Pith Number

pith:ZVIWMA3N

pith:2017:ZVIWMA3NAF2O6NDWQ64REMATKL

not attested not anchored not stored refs pending

On dimension-free variational inequalities for averaging operators in $\mathbb R^d$

B{\l}a\.zej Wr\'obel, Elias M. Stein, Jean Bourgain, Mariusz Mirek

arxiv:1708.04639 v2 · 2017-08-15 · 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{ZVIWMA3NAF2O6NDWQ64REMATKL}

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	2026-05-18T00:27:04.564636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd5166036d0174ef347687b912301352e72eb31eb95918fde20174ec15895ea1

Aliases

arxiv: 1708.04639 · arxiv_version: 1708.04639v2 · doi: 10.48550/arxiv.1708.04639 · pith_short_12: ZVIWMA3NAF2O · pith_short_16: ZVIWMA3NAF2O6NDW · pith_short_8: ZVIWMA3N

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/ZVIWMA3NAF2O6NDWQ64REMATKL \
  | 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: cd5166036d0174ef347687b912301352e72eb31eb95918fde20174ec15895ea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1db3f1d691c842e183a03d1e76b9e78c3ba69897b1c6a7c3c088c39bc3dbdfd",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-15T18:38:46Z",
    "title_canon_sha256": "9653565a83169178bf9ff15627118bb75bf092046c92416566654352a2523350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04639",
    "kind": "arxiv",
    "version": 2
  }
}