Pith Number

pith:QZNLTJMP

pith:2010:QZNLTJMPDEAOJMJ5KQKBDQV3XG

not attested not anchored not stored refs pending

Tiling groupoids and Bratteli diagrams II: structure of the orbit equivalence relation

Antoine Julien, Jean Savinien

arxiv:1005.2965 v1 · 2010-05-17 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZNLTJMPDEAOJMJ5KQKBDQV3XG}

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	2026-05-18T02:23:59.172498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

865ab9a58f1900e4b13d541411c2bbb9a584edf55bd16ae3c49e12a0a7f429a8

Aliases

arxiv: 1005.2965 · arxiv_version: 1005.2965v1 · doi: 10.48550/arxiv.1005.2965 · pith_short_12: QZNLTJMPDEAO · pith_short_16: QZNLTJMPDEAOJMJ5 · pith_short_8: QZNLTJMP

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/QZNLTJMPDEAOJMJ5KQKBDQV3XG \
  | 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: 865ab9a58f1900e4b13d541411c2bbb9a584edf55bd16ae3c49e12a0a7f429a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f278b764846e7146d7919804c165ec42383790a3b5c4a28ef6435ed4779a037",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-05-17T16:18:35Z",
    "title_canon_sha256": "a3f44c7006f98ddd5ecff52debce55e50a1c7b4f23dd099121704d3352e8c8d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2965",
    "kind": "arxiv",
    "version": 1
  }
}