Pith Number

pith:DX6BU7U4

pith:2017:DX6BU7U4DEVT6K2Y6O2JZA7W6B

not attested not anchored not stored refs pending

Reproducing kernels and choices of associated feature spaces, in the form of $L^{2}$-spaces

Feng Tian, Palle Jorgensen

arxiv:1707.08492 v1 · 2017-07-26 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DX6BU7U4DEVT6K2Y6O2JZA7W6B}

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	2026-05-18T00:39:24.086985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dfc1a7e9c192b3f2b58f3b49c83f6f050f8318785f28c92c739fbbabf811268

Aliases

arxiv: 1707.08492 · arxiv_version: 1707.08492v1 · doi: 10.48550/arxiv.1707.08492 · pith_short_12: DX6BU7U4DEVT · pith_short_16: DX6BU7U4DEVT6K2Y · pith_short_8: DX6BU7U4

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/DX6BU7U4DEVT6K2Y6O2JZA7W6B \
  | 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: 1dfc1a7e9c192b3f2b58f3b49c83f6f050f8318785f28c92c739fbbabf811268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaebe5c11fcf1a0052c06687ea5a312674d3d28a1be47dc79f7df863a71ed757",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-26T15:25:05Z",
    "title_canon_sha256": "b77506dec490708c8af04b268e8a057ce2fd6d3f0bd997cce0fbbff2e55925af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08492",
    "kind": "arxiv",
    "version": 1
  }
}