Pith Number

pith:KNOKJF5G

pith:2016:KNOKJF5GNEYU3SGBSSS2BEPRVY

not attested not anchored not stored refs pending

Operator-Valued Bochner Theorem, Fourier Feature Maps for Operator-Valued Kernels, and Vector-Valued Learning

Ha Quang Minh

arxiv:1608.05639 v1 · 2016-08-19 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNOKJF5GNEYU3SGBSSS2BEPRVY}

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.

Cited by

1 paper in Pith

Geometric Dictionary Learning of Dynamical Systems with Optimal Transport

Receipt and verification

First computed	2026-05-18T01:08:27.979297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535ca497a669314dc8c194a5a091f1ae2754a866c0b3ad5c146fa21baf2a53ef

Aliases

arxiv: 1608.05639 · arxiv_version: 1608.05639v1 · doi: 10.48550/arxiv.1608.05639 · pith_short_12: KNOKJF5GNEYU · pith_short_16: KNOKJF5GNEYU3SGB · pith_short_8: KNOKJF5G

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/KNOKJF5GNEYU3SGBSSS2BEPRVY \
  | 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: 535ca497a669314dc8c194a5a091f1ae2754a866c0b3ad5c146fa21baf2a53ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "274cfa07d70fd8077d2c00ede14d47564e483cde5e981467246266f98559d122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-08-19T15:34:43Z",
    "title_canon_sha256": "9c6e7d44a82c03b0be136eb032ec3b79fc589b3d20c75237402a7977040a0b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05639",
    "kind": "arxiv",
    "version": 1
  }
}