Pith Number

pith:QENLIPUZ

pith:2019:QENLIPUZCKZTYNFEG4ATX7ZSHK

not attested not anchored not stored refs pending

Distributional Invariances and Interventional Markov Equivalence for Mixed Graph Models

Liam Solus

arxiv:1911.10114 v2 · 2019-11-22 · math.ST · math.CO · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QENLIPUZCKZTYNFEG4ATX7ZSHK}

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	2026-07-05T01:08:25.568041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

811ab43e9912b33c34a437013bff323aa62a6f1e3682e1578aa510800df3622f

Aliases

arxiv: 1911.10114 · arxiv_version: 1911.10114v2 · doi: 10.48550/arxiv.1911.10114 · pith_short_12: QENLIPUZCKZT · pith_short_16: QENLIPUZCKZTYNFE · pith_short_8: QENLIPUZ

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/QENLIPUZCKZTYNFEG4ATX7ZSHK \
  | 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: 811ab43e9912b33c34a437013bff323aa62a6f1e3682e1578aa510800df3622f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed9e7927af7975973ff80359b5afb2cf62b6bccc0bccdcd896069e4e2c1d86ec",
    "cross_cats_sorted": [
      "math.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-11-22T16:17:01Z",
    "title_canon_sha256": "18f3518167cad93ffb49f2e119d6850077b465dfb20aa50b937a63a43211c6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.10114",
    "kind": "arxiv",
    "version": 2
  }
}