Pith Number

pith:HVIGWW5Y

pith:2013:HVIGWW5YDP7W7ZUWBI5S5BTO3C

not attested not anchored not stored refs pending

Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds

Chengbo Li, Igor zelenko, Paul W. Y. Lee

arxiv:1304.2658 v6 · 2013-04-09 · 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{HVIGWW5YDP7W7ZUWBI5S5BTO3C}

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	2026-05-18T02:38:17.256902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d506b5bb81bff6fe6960a3b2e866ed8baafd2c47f9b40def951449b1166ccf9

Aliases

arxiv: 1304.2658 · arxiv_version: 1304.2658v6 · doi: 10.48550/arxiv.1304.2658 · pith_short_12: HVIGWW5YDP7W · pith_short_16: HVIGWW5YDP7W7ZUW · pith_short_8: HVIGWW5Y

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/HVIGWW5YDP7W7ZUWBI5S5BTO3C \
  | 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: 3d506b5bb81bff6fe6960a3b2e866ed8baafd2c47f9b40def951449b1166ccf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "990e0edda71b1d7d7312d5e517d889a029d3bbdd77db9e33400819064d295d26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-09T16:44:28Z",
    "title_canon_sha256": "3658d75a512e2ff48eac1292842f2532ac571629391054990ccb0db919a28a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2658",
    "kind": "arxiv",
    "version": 6
  }
}