Pith Number

pith:AJBS4QLT

pith:2026:AJBS4QLT6VPB5DMX42OV4KBBTL

not attested not anchored not stored refs pending

A cubical formalisation of conditional independence, Bayesian conditioning, and Pearl's d-separation soundness

Karen Sargsyan

arxiv:2606.20351 v1 · 2026-06-18 · cs.LO · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJBS4QLT6VPB5DMX42OV4KBBTL}

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	2026-06-19T16:13:09.634692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02432e4173f55e1e8d97e69d5e28219ade8775216f685222adb057690041cd7c

Aliases

arxiv: 2606.20351 · arxiv_version: 2606.20351v1 · doi: 10.48550/arxiv.2606.20351 · pith_short_12: AJBS4QLT6VPB · pith_short_16: AJBS4QLT6VPB5DMX · pith_short_8: AJBS4QLT

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/AJBS4QLT6VPB5DMX42OV4KBBTL \
  | 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: 02432e4173f55e1e8d97e69d5e28219ade8775216f685222adb057690041cd7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bd60f56e508ac43113bf038abc8866b62cba6b27fbd00aee137c3f57448cb3",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-06-18T15:17:41Z",
    "title_canon_sha256": "ef1439f5a3bcfafba60dda15c76c88e2296b55c975cf2acbdab3b2975abda1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20351",
    "kind": "arxiv",
    "version": 1
  }
}