Pith Number

pith:XSH2TRVA

pith:2016:XSH2TRVASUV6FTAWUGZRUCCGUU

not attested not anchored not stored refs pending

Positive definite kernels and boundary spaces

Feng Tian, Palle Jorgensen

arxiv:1611.04185 v1 · 2016-11-13 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSH2TRVASUV6FTAWUGZRUCCGUU}

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	2026-05-18T00:59:17.240503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8fa9c6a0952be2cc16a1b31a0846a5061bceab4c049fe0f9bea7b2ec5823be

Aliases

arxiv: 1611.04185 · arxiv_version: 1611.04185v1 · doi: 10.48550/arxiv.1611.04185 · pith_short_12: XSH2TRVASUV6 · pith_short_16: XSH2TRVASUV6FTAW · pith_short_8: XSH2TRVA

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/XSH2TRVASUV6FTAWUGZRUCCGUU \
  | 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: bc8fa9c6a0952be2cc16a1b31a0846a5061bceab4c049fe0f9bea7b2ec5823be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4506c7d0c9f81fd4d24a40d43122bd70af2cece1d26b96274cc8bd2a7c9f6be4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-13T20:38:28Z",
    "title_canon_sha256": "af55096804f046a8d6c3d6a5a203d54e9deb36fea9e7af7e9570d79b4d02b2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04185",
    "kind": "arxiv",
    "version": 1
  }
}