Pith Number

pith:DB53VZOL

pith:2024:DB53VZOLXHSPVY2EMR2FZZZVYT

not attested not anchored not stored refs pending

Metric Lie Groups. Carnot-Carath\'eodory spaces from the homogeneous viewpoint

Enrico Le Donne

arxiv:2410.07291 v1 · 2024-10-09 · math.DG · math.GR · 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{DB53VZOLXHSPVY2EMR2FZZZVYT}

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.

Cited by

2 papers in Pith

Denoising Tells When to Replan: Denoising-Variance Adaptive Chunking for Flow-Based Robot Policies

Universal non-CD of sub-Riemannian manifolds

Receipt and verification

First computed	2026-07-05T09:18:34.062948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

187bbae5cbb9e4fae34464745ce735c4fc0437ba7cdf9fd058398e1bc7165862

Aliases

arxiv: 2410.07291 · arxiv_version: 2410.07291v1 · doi: 10.48550/arxiv.2410.07291 · pith_short_12: DB53VZOLXHSP · pith_short_16: DB53VZOLXHSPVY2E · pith_short_8: DB53VZOL

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/DB53VZOLXHSPVY2EMR2FZZZVYT \
  | 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: 187bbae5cbb9e4fae34464745ce735c4fc0437ba7cdf9fd058398e1bc7165862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98bc51be7156ec9fed24d2fb2f0ddf977ef507c8fced7f6f161496b5b80cb15a",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-10-09T15:00:02Z",
    "title_canon_sha256": "a5d30b690fc917b6d885423ddf4455b36f9f3e6074a582eb861117a4f9c6342b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.07291",
    "kind": "arxiv",
    "version": 1
  }
}