Pith Number

pith:2VFYDA6J

pith:2026:2VFYDA6JDFEY4YRPNRSBKKSBUT

not attested not anchored not stored refs pending

Causal invariance in graphical models with latent variables

Giovanni M. Marchetti, Marco Borriero, Monia Lupparelli, Veronica Vinciotti

arxiv:2606.13281 v1 · 2026-06-11 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VFYDA6JDFEY4YRPNRSBKKSBUT}

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	2026-06-12T01:09:50.370751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54b8183c919498e622f6c64152a41a4d184f34a5bb3df4ab84cc5b43cef4620

Aliases

arxiv: 2606.13281 · arxiv_version: 2606.13281v1 · doi: 10.48550/arxiv.2606.13281 · pith_short_12: 2VFYDA6JDFEY · pith_short_16: 2VFYDA6JDFEY4YRP · pith_short_8: 2VFYDA6J

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/2VFYDA6JDFEY4YRPNRSBKKSBUT \
  | 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: d54b8183c919498e622f6c64152a41a4d184f34a5bb3df4ab84cc5b43cef4620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b4a1d8b956e207c60d1c5a687f3be9b4889afb04766e79163165fa78b3f783",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-11T12:35:51Z",
    "title_canon_sha256": "0752678d39d04f9f0eec970cd71f805c6a179b688f49a0ec77e9f7c1065f2e9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13281",
    "kind": "arxiv",
    "version": 1
  }
}