Pith Number

pith:QVEU32VQ

pith:2009:QVEU32VQI4AV27QSE2UH2U4NU3

not attested not anchored not stored refs pending

Tiling groupoids and Bratteli diagrams

A. Julien, J. Bellissard, J. Savinien

arxiv:0911.0080 v1 · 2009-10-31 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVEU32VQI4AV27QSE2UH2U4NU3}

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	2026-05-18T02:11:01.062987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85494deab047015d7e1226a87d538da6f1863dcd556de2e356f5d3c96ed7a97e

Aliases

arxiv: 0911.0080 · arxiv_version: 0911.0080v1 · doi: 10.48550/arxiv.0911.0080 · pith_short_12: QVEU32VQI4AV · pith_short_16: QVEU32VQI4AV27QS · pith_short_8: QVEU32VQ

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/QVEU32VQI4AV27QSE2UH2U4NU3 \
  | 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: 85494deab047015d7e1226a87d538da6f1863dcd556de2e356f5d3c96ed7a97e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a5563bafffa09543e11a00c0005da8a7ffd71c24957d1fa614bca06c2e6576d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-10-31T13:55:43Z",
    "title_canon_sha256": "cfbc5db0f8e9386dc2a41caca09bda3ee06edc9c0b979d5d69269baf77a6ed2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0080",
    "kind": "arxiv",
    "version": 1
  }
}