Pith Number

pith:ELCFEPHW

pith:2011:ELCFEPHWJ7JCM4VFBI45BAFHVI

not attested not anchored not stored refs pending

Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries

Fabrice Baudoin, Nicola Garofalo

arxiv:1101.3590 v5 · 2011-01-19 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELCFEPHWJ7JCM4VFBI45BAFHVI}

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	2026-05-18T02:41:09.332987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22c4523cf64fd22672a50a39d080a7aa02f33b6b0061937f7d793b39b7e159f0

Aliases

arxiv: 1101.3590 · arxiv_version: 1101.3590v5 · doi: 10.48550/arxiv.1101.3590 · pith_short_12: ELCFEPHWJ7JC · pith_short_16: ELCFEPHWJ7JCM4VF · pith_short_8: ELCFEPHW

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/ELCFEPHWJ7JCM4VFBI45BAFHVI \
  | 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: 22c4523cf64fd22672a50a39d080a7aa02f33b6b0061937f7d793b39b7e159f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea3847242ecaf87161b9a1f89d1664c90b12e25b09eb67b994b5cb8ebc7430a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-19T00:24:49Z",
    "title_canon_sha256": "8f08aaff5b4f0ad1fe1b1ff5920c62f32c3b416bcdd5a47b53af72032c1e446b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3590",
    "kind": "arxiv",
    "version": 5
  }
}