Pith Number

pith:PU2CABWA

pith:2016:PU2CABWAJC5IV272QKNBM6QGNM

not attested not anchored not stored refs pending

Pointwise Multipliers for Sobolev and Besov Spaces of Dominating Mixed Smoothness

Van Kien Nguyen, Winfried Sickel

arxiv:1608.03414 v1 · 2016-08-11 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PU2CABWAJC5IV272QKNBM6QGNM}

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	2026-05-18T01:09:28.972967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d342006c048ba8aebfa829a167a066b2bc72b37b66c5b08d825c3d177c255ca

Aliases

arxiv: 1608.03414 · arxiv_version: 1608.03414v1 · doi: 10.48550/arxiv.1608.03414 · pith_short_12: PU2CABWAJC5I · pith_short_16: PU2CABWAJC5IV272 · pith_short_8: PU2CABWA

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/PU2CABWAJC5IV272QKNBM6QGNM \
  | 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: 7d342006c048ba8aebfa829a167a066b2bc72b37b66c5b08d825c3d177c255ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1992e463d6d78c86db72c2ef5caa523ac84456c7411e47f3710a30cbd28044ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-11T10:16:50Z",
    "title_canon_sha256": "0ef8c74f452191155c0d7c9dc76fd84162ae1349fc7d0e542df08bd59871bad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03414",
    "kind": "arxiv",
    "version": 1
  }
}