Pith Number

pith:PQZGA2IS

pith:2012:PQZGA2ISRIUVPP75D6UZC3UQZI

not attested not anchored not stored refs pending

Metrics on tiling spaces, local isomorphism and an application of Brown's Lemma

Helder Vilarinho, Rui Pacheco

arxiv:1202.4902 v2 · 2012-02-22 · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQZGA2ISRIUVPP75D6UZC3UQZI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:36:06.497043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c326069128a2957bffd1fa9916e90ca2cf30b38aaeeea5aff48c482dc793219

Aliases

arxiv: 1202.4902 · arxiv_version: 1202.4902v2 · doi: 10.48550/arxiv.1202.4902 · pith_short_12: PQZGA2ISRIUV · pith_short_16: PQZGA2ISRIUVPP75 · pith_short_8: PQZGA2IS

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/PQZGA2ISRIUVPP75D6UZC3UQZI \
  | 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: 7c326069128a2957bffd1fa9916e90ca2cf30b38aaeeea5aff48c482dc793219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162429ba166c1f3e92fd6ef034607ab00ef4ab0ea539aaa514e0d27a0c7eb0fe",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-22T13:23:34Z",
    "title_canon_sha256": "936b19f18f578d633129f3e83654dbda7eb4ff624058dd345789393118d4f77f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4902",
    "kind": "arxiv",
    "version": 2
  }
}