Pith Number

pith:CNET2QZR

pith:2019:CNET2QZRVF22JZQYTWLUQECGOF

not attested not anchored not stored refs pending

Vector-valued Reproducing Kernel Banach Spaces with Group Lasso Norms

Haizhang Zhang, Jun Zhang, Liangzhi Chen

arxiv:1903.00819 v2 · 2019-03-03 · 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{CNET2QZRVF22JZQYTWLUQECGOF}

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	2026-07-05T11:47:55.093493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13493d4331a975a4e6189d9748104671601a95705f95d3f0ccff9f8262b4af5c

Aliases

arxiv: 1903.00819 · arxiv_version: 1903.00819v2 · doi: 10.48550/arxiv.1903.00819 · pith_short_12: CNET2QZRVF22 · pith_short_16: CNET2QZRVF22JZQY · pith_short_8: CNET2QZR

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/CNET2QZRVF22JZQYTWLUQECGOF \
  | 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: 13493d4331a975a4e6189d9748104671601a95705f95d3f0ccff9f8262b4af5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f44de593aa1bd244d19707fb2a0ce704fdc03ab72e99b0d0b811a3ac357b8fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-03T03:54:17Z",
    "title_canon_sha256": "c5df5186778f34c1fa14a4e44b964064831546d3d907402d84a534dcccfcc705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00819",
    "kind": "arxiv",
    "version": 2
  }
}