Pith Number

pith:YVNWIAQX

pith:2022:YVNWIAQXTIQ5QA4BQZEJL2UNID

not attested not anchored not stored refs pending

An Operator Learning Approach via Function-valued Reproducing Kernel Hilbert Space for Differential Equations

Kaijun Bao, Songhe Song, Xu Qian, Ziyuan Liu

arxiv:2202.09488 v3 · 2022-02-19 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVNWIAQXTIQ5QA4BQZEJL2UNID}

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	2026-07-05T04:10:53.058335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c55b6402179a21d80381864895ea8d40ce0a66b62c8cfb831ae253150dc12edb

Aliases

arxiv: 2202.09488 · arxiv_version: 2202.09488v3 · doi: 10.48550/arxiv.2202.09488 · pith_short_12: YVNWIAQXTIQ5 · pith_short_16: YVNWIAQXTIQ5QA4B · pith_short_8: YVNWIAQX

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/YVNWIAQXTIQ5QA4BQZEJL2UNID \
  | 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: c55b6402179a21d80381864895ea8d40ce0a66b62c8cfb831ae253150dc12edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ae89352d4ee663b70b95869de9239a63220595d042893800c885d67ea61a3a0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-02-19T01:29:27Z",
    "title_canon_sha256": "cbbdb442b36a697963456b1e4361ccc1a0dba73821b8d100afb30df6463638b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.09488",
    "kind": "arxiv",
    "version": 3
  }
}