Pith Number

pith:MXSBEVKR

pith:2011:MXSBEVKRNCHUA4K3UYAOKTYHXX

not attested not anchored not stored refs pending

Vector-valued Reproducing Kernel Banach Spaces with Applications to Multi-task Learning

Haizhang Zhang, Jun Zhang

arxiv:1111.1037 v2 · 2011-11-04 · math.FA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXSBEVKRNCHUA4K3UYAOKTYHXX}

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	2026-05-18T04:02:03.782787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e4125551688f40715ba600e54f07bdf38bd6ff08d0143cbfe60c9ac45300f5

Aliases

arxiv: 1111.1037 · arxiv_version: 1111.1037v2 · doi: 10.48550/arxiv.1111.1037 · pith_short_12: MXSBEVKRNCHU · pith_short_16: MXSBEVKRNCHUA4K3 · pith_short_8: MXSBEVKR

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/MXSBEVKRNCHUA4K3UYAOKTYHXX \
  | 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: 65e4125551688f40715ba600e54f07bdf38bd6ff08d0143cbfe60c9ac45300f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a07c14d3079b1a816b32b7465b223b5733505755b3c95718d6acda405f5d004",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-04T04:04:08Z",
    "title_canon_sha256": "2ff158b064ec4c70a4d5bf6008ed6682cd2c8d65607063a08f75b845f0e9ae3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1037",
    "kind": "arxiv",
    "version": 2
  }
}