Pith Number

pith:7YMHTUIV

pith:2017:7YMHTUIVX4X3IVFCHZQWVZWN4R

not attested not anchored not stored refs pending

Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups

JAD), Ludovic Rifford (McTAO, Zeinab Badreddine (McTAO

arxiv:1712.09900 v2 · 2017-12-28 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YMHTUIVX4X3IVFCHZQWVZWN4R}

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	2026-05-17T23:58:05.233188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1879d115bf2fb454a23e616ae6cde45f459b6b675c7bde3ab951e08d2a70a3

Aliases

arxiv: 1712.09900 · arxiv_version: 1712.09900v2 · doi: 10.48550/arxiv.1712.09900 · pith_short_12: 7YMHTUIVX4X3 · pith_short_16: 7YMHTUIVX4X3IVFC · pith_short_8: 7YMHTUIV

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/7YMHTUIVX4X3IVFCHZQWVZWN4R \
  | 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: fe1879d115bf2fb454a23e616ae6cde45f459b6b675c7bde3ab951e08d2a70a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab94bd25257cac65f6f8e13f3960ce7d3a6d4f5edb4b2aea87881c6f419b86b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-28T15:37:12Z",
    "title_canon_sha256": "38f2784112951cb495d42d09ace563f45bcbfa6a30727217a8d1efe090c53ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09900",
    "kind": "arxiv",
    "version": 2
  }
}