Pith Number

pith:LD2ZBA72

pith:2015:LD2ZBA72B2T4XYSGYH5W6QZXUH

not attested not anchored not stored refs pending

Equivalence Classes of Staged Trees

Christiane G\"orgen, Jim Q. Smith

arxiv:1512.00209 v4 · 2015-12-01 · math.ST · stat.ME · 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{LD2ZBA72B2T4XYSGYH5W6QZXUH}

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	2026-05-18T00:43:39.798894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f59083fa0ea7cbe246c1fb6f4337a1f6682cf8931d4d5937ee56e147b58621

Aliases

arxiv: 1512.00209 · arxiv_version: 1512.00209v4 · doi: 10.48550/arxiv.1512.00209 · pith_short_12: LD2ZBA72B2T4 · pith_short_16: LD2ZBA72B2T4XYSG · pith_short_8: LD2ZBA72

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/LD2ZBA72B2T4XYSGYH5W6QZXUH \
  | 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: 58f59083fa0ea7cbe246c1fb6f4337a1f6682cf8931d4d5937ee56e147b58621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "575a3f961397e1531e0729ead2a0586654e25a1233c7fce69b9731d1f0a88d9a",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-12-01T10:33:53Z",
    "title_canon_sha256": "00b4b00d1a9435ecfc3b3b48d73331692a9db5b7840cd5404052a38bf723bbc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00209",
    "kind": "arxiv",
    "version": 4
  }
}