Pith Number

pith:NBGE3UHK

pith:2014:NBGE3UHKPG5OL7ZFS54CI2FTUQ

not attested not anchored not stored refs pending

$R$-boundedness versus $\gamma$-boundedness

Lutz Weis, Mark Veraar, Stanislaw Kwapie\'n

arxiv:1404.7328 v3 · 2014-04-29 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBGE3UHKPG5OL7ZFS54CI2FTUQ}

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	2026-05-18T01:34:30.086362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

684c4dd0ea79bae5ff2597782468b3a42a7d4209be71735ab4b6ee4a6349da09

Aliases

arxiv: 1404.7328 · arxiv_version: 1404.7328v3 · doi: 10.48550/arxiv.1404.7328 · pith_short_12: NBGE3UHKPG5O · pith_short_16: NBGE3UHKPG5OL7ZF · pith_short_8: NBGE3UHK

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/NBGE3UHKPG5OL7ZFS54CI2FTUQ \
  | 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: 684c4dd0ea79bae5ff2597782468b3a42a7d4209be71735ab4b6ee4a6349da09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ff3a7ce84980a3aed27d3c57b24c3bc1ddce5f2739a41c3d4dd2c4547574c29",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-29T12:15:14Z",
    "title_canon_sha256": "47dac5134f7662046bcf5ca50045e60a73f2a3d46891e2e7c8aa9256b85f8143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7328",
    "kind": "arxiv",
    "version": 3
  }
}