Pith Number

pith:WNYALXMX

pith:2016:WNYALXMXFVN2L2WP7PIQLDMJYG

not attested not anchored not stored refs pending

Approximating faces of marginal polytopes in discrete hierarchical models

H\'el\`ene Massam, Johannes Rauh, Nanwei Wang

arxiv:1603.04843 v2 · 2016-03-15 · 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{WNYALXMXFVN2L2WP7PIQLDMJYG}

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	2026-05-17T23:52:29.552587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b37005dd972d5ba5eacffbd1058d89c1b99285ac1cc7e865c28724da883acd2c

Aliases

arxiv: 1603.04843 · arxiv_version: 1603.04843v2 · doi: 10.48550/arxiv.1603.04843 · pith_short_12: WNYALXMXFVN2 · pith_short_16: WNYALXMXFVN2L2WP · pith_short_8: WNYALXMX

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/WNYALXMXFVN2L2WP7PIQLDMJYG \
  | 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: b37005dd972d5ba5eacffbd1058d89c1b99285ac1cc7e865c28724da883acd2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8246063b32889c4f6e902b53920bfb030e8ad46ffeac202cba618a098c46abb7",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-03-15T19:58:45Z",
    "title_canon_sha256": "654e96f4d7353edcecfa341b56ba884a975bd9d18bd94248d705d239f4884307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04843",
    "kind": "arxiv",
    "version": 2
  }
}