Pith Number

pith:SGOBFZYD

pith:2026:SGOBFZYDAJVUKX5LU6GT4YP55W

not attested not anchored not stored refs pending

Hierarchical Bayesian inversion using the Karhunen-Lo\`eve expansion with analytical eigenpairs of the squared exponential kernel

Kazunori Fujisawa, Michael Conrad Koch, Tatsuya Shibata

arxiv:2607.12387 v1 · 2026-07-14 · stat.ME · cs.NA · math.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{SGOBFZYDAJVUKX5LU6GT4YP55W}

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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	2026-07-15T01:21:32.205035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919c12e703026b455faba78d3e61fdeda1259fb8655ce4deff3c34d201a376c2

Aliases

arxiv: 2607.12387 · arxiv_version: 2607.12387v1 · doi: 10.48550/arxiv.2607.12387 · pith_short_12: SGOBFZYDAJVU · pith_short_16: SGOBFZYDAJVUKX5L · pith_short_8: SGOBFZYD

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/SGOBFZYDAJVUKX5LU6GT4YP55W \
  | 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: 919c12e703026b455faba78d3e61fdeda1259fb8655ce4deff3c34d201a376c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2865cacb440a53adc10b8ae2bd44b1d4b38f675e2cda7a5f9fec827b10d9a120",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-14T06:00:27Z",
    "title_canon_sha256": "fc7e3602f799f7c45df4acc7e6f816923412238b91f5cefade62ee9179d234f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12387",
    "kind": "arxiv",
    "version": 1
  }
}