Pith Number

pith:XTH3JPCX

pith:2026:XTH3JPCXJATKBHGSVFPLMVGTAD

not attested not anchored not stored refs pending

A Differentiable Covariance Calculus for Linear Gaussian Bayesian Networks

Tadashi Wadayama

arxiv:2607.04578 v1 · 2026-07-06 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTH3JPCXJATKBHGSVFPLMVGTAD}

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	2026-07-07T02:19:25.646505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bccfb4bc574826a09cd2a95eb654d300ca098eb4567f5c6b7e99d32caa5fb3dd

Aliases

arxiv: 2607.04578 · arxiv_version: 2607.04578v1 · doi: 10.48550/arxiv.2607.04578 · pith_short_12: XTH3JPCXJATK · pith_short_16: XTH3JPCXJATKBHGS · pith_short_8: XTH3JPCX

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/XTH3JPCXJATKBHGSVFPLMVGTAD \
  | 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: bccfb4bc574826a09cd2a95eb654d300ca098eb4567f5c6b7e99d32caa5fb3dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b744005c4dba7e9bc8ad3ed38d0194170f98ef8e05e1d87e7b4968fd08a914d1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-06T01:07:11Z",
    "title_canon_sha256": "183edd67829216d4a9b14186ecc0736d70b94de5a0e7550f5eebb5c19dbe4259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04578",
    "kind": "arxiv",
    "version": 1
  }
}