Pith Number

pith:PI4YL44E

pith:2015:PI4YL44EYQQVNURMEQVCNG2YMP

not attested not anchored not stored refs pending

Hierarchical Models as Marginals of Hierarchical Models

Guido Montufar, Johannes Rauh

arxiv:1508.03606 v2 · 2015-08-14 · math.PR · cs.LG · cs.NE · math.ST · 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{PI4YL44EYQQVNURMEQVCNG2YMP}

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	2026-05-18T01:19:34.181388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3985f384c42156d22c242a269b5863f687d999d77cb67184db5420416882f6

Aliases

arxiv: 1508.03606 · arxiv_version: 1508.03606v2 · doi: 10.48550/arxiv.1508.03606 · pith_short_12: PI4YL44EYQQV · pith_short_16: PI4YL44EYQQVNURM · pith_short_8: PI4YL44E

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/PI4YL44EYQQVNURMEQVCNG2YMP \
  | 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: 7a3985f384c42156d22c242a269b5863f687d999d77cb67184db5420416882f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1299ae7a8e5f1269fc840033057d9ca2cd21a01957bfc33bb46cd07c9ec074a",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NE",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-14T18:56:00Z",
    "title_canon_sha256": "0491a71bf8bcead5f23e0e44033aabc089ea9508962202cefb1ccdb2c9d52a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03606",
    "kind": "arxiv",
    "version": 2
  }
}