Pith Number

pith:ITUKC2B5

pith:2017:ITUKC2B5SLY5GDXYDJPMFWQQZZ

not attested not anchored not stored refs pending

Metric duality between positive definite kernels and boundary processes

Feng Tian, Palle Jorgensen

arxiv:1706.09532 v1 · 2017-06-29 · 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{ITUKC2B5SLY5GDXYDJPMFWQQZZ}

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	2026-05-18T00:41:14.815417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44e8a1683d92f1d30ef81a5ec2da10ce4634e4733af9b26c34cb76be1ca00696

Aliases

arxiv: 1706.09532 · arxiv_version: 1706.09532v1 · doi: 10.48550/arxiv.1706.09532 · pith_short_12: ITUKC2B5SLY5 · pith_short_16: ITUKC2B5SLY5GDXY · pith_short_8: ITUKC2B5

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/ITUKC2B5SLY5GDXYDJPMFWQQZZ \
  | 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: 44e8a1683d92f1d30ef81a5ec2da10ce4634e4733af9b26c34cb76be1ca00696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5a040b271877122802df59c1164043542afccae1f3c54bde7322f6d7870a4af",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-29T01:00:06Z",
    "title_canon_sha256": "53e24cd85873efffccf32c8eb56595de6758a6564b6cad3d391f4de545248dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09532",
    "kind": "arxiv",
    "version": 1
  }
}