Pith Number

pith:PXSPR4NQ

pith:2015:PXSPR4NQWQALO65KDUIZB5GCCJ

not attested not anchored not stored refs pending

Remarks about Besicovitch covering property in Carnot groups of step 3 and higher

Enrico Le Donne, Severine Rigot

arxiv:1503.09034 v1 · 2015-03-31 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXSPR4NQWQALO65KDUIZB5GCCJ}

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	2026-05-18T02:19:51.574144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de4f8f1b0b400b77baa1d1190f4c21242464966e8a3fe69138b22569917878f

Aliases

arxiv: 1503.09034 · arxiv_version: 1503.09034v1 · doi: 10.48550/arxiv.1503.09034 · pith_short_12: PXSPR4NQWQAL · pith_short_16: PXSPR4NQWQALO65K · pith_short_8: PXSPR4NQ

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/PXSPR4NQWQALO65KDUIZB5GCCJ \
  | 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: 7de4f8f1b0b400b77baa1d1190f4c21242464966e8a3fe69138b22569917878f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b5dcc2783511360089ee8d56cdbc70aa0920fa7e09d229cc71799d79ef8ec6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-03-31T13:18:45Z",
    "title_canon_sha256": "6ec52709e8d90ee3dd634470bae894cfebe54533b4cbda6665cab0a8c19874b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09034",
    "kind": "arxiv",
    "version": 1
  }
}