Pith Number

pith:OEKLGPZK

pith:2017:OEKLGPZKTF7K4IB7IRBKL372TM

not attested not anchored not stored refs pending

Weak type operator Lipschitz and commutator estimates for commuting tuples

Dmitriy Zanin, Fedor Sukochev, Martijn Caspers

arxiv:1703.03089 v1 · 2017-03-09 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEKLGPZKTF7K4IB7IRBKL372TM}

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	2026-05-18T00:49:01.608307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7114b33f2a997eae203f4442a5effa9b31ce0ac72e7ca5897c74762027cce7a6

Aliases

arxiv: 1703.03089 · arxiv_version: 1703.03089v1 · doi: 10.48550/arxiv.1703.03089 · pith_short_12: OEKLGPZKTF7K · pith_short_16: OEKLGPZKTF7K4IB7 · pith_short_8: OEKLGPZK

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/OEKLGPZKTF7K4IB7IRBKL372TM \
  | 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: 7114b33f2a997eae203f4442a5effa9b31ce0ac72e7ca5897c74762027cce7a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce6e48faafc93a075a409b6d4eb63cc28bc31f4b6a9302487a13e6baceab43a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-03-09T00:59:23Z",
    "title_canon_sha256": "c60d2cfb5ca14271aeaf3dbc60eddf5b77289d39f965849d619c811b4f5c8b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03089",
    "kind": "arxiv",
    "version": 1
  }
}