Pith Number

pith:BGKX7E7H

pith:2017:BGKX7E7HFM7SJYLEXCZA4VWA5R

not attested not anchored not stored refs pending

Realizations and Factorizations of Positive Definite Kernels

Feng Tian, Palle Jorgensen

arxiv:1711.03614 v2 · 2017-11-09 · math.SP · 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{BGKX7E7HFM7SJYLEXCZA4VWA5R}

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	2026-05-18T00:02:03.299578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09957f93e72b3f24e164b8b20e56c0ec73d161cccf7f0b3f24c68133f50f7d24

Aliases

arxiv: 1711.03614 · arxiv_version: 1711.03614v2 · doi: 10.48550/arxiv.1711.03614 · pith_short_12: BGKX7E7HFM7S · pith_short_16: BGKX7E7HFM7SJYLE · pith_short_8: BGKX7E7H

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/BGKX7E7HFM7SJYLEXCZA4VWA5R \
  | 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: 09957f93e72b3f24e164b8b20e56c0ec73d161cccf7f0b3f24c68133f50f7d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c12d16931b3c6f97f54aa59775304d8f36cffc4aa5e274fb933f503e0bbbf44",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-09T21:47:36Z",
    "title_canon_sha256": "7b7b4c130c8e57476d07b0085713a9ff1fd2fefe8cd1b83118fe8cb24fa0af9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03614",
    "kind": "arxiv",
    "version": 2
  }
}