Pith Number

pith:RPNMNYXO

pith:2014:RPNMNYXOBIIWUJZSB2P7ISORPI

not attested not anchored not stored refs pending

Generalized Mercer Kernels and Reproducing Kernel Banach Spaces

Qi Ye, Yuesheng Xu

arxiv:1412.8663 v2 · 2014-12-30 · 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{RPNMNYXOBIIWUJZSB2P7ISORPI}

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	2026-05-18T00:41:46.767153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bdac6e2ee0a116a27320e9ff449d17a3f1df82e7b30eb4f251cd0834d28326f

Aliases

arxiv: 1412.8663 · arxiv_version: 1412.8663v2 · doi: 10.48550/arxiv.1412.8663 · pith_short_12: RPNMNYXOBIIW · pith_short_16: RPNMNYXOBIIWUJZS · pith_short_8: RPNMNYXO

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/RPNMNYXOBIIWUJZSB2P7ISORPI \
  | 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: 8bdac6e2ee0a116a27320e9ff449d17a3f1df82e7b30eb4f251cd0834d28326f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd18cb3692a49c5fae8017f02e2c980ac25c97578c4eec15837aa41abdee5cb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-30T15:41:08Z",
    "title_canon_sha256": "53b8289ac2a6633119804dfa625350e8ce4417cbe1810c67635fd026d4509b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8663",
    "kind": "arxiv",
    "version": 2
  }
}