Pith Number

pith:RALSNACD

pith:2009:RALSNACDIO62ZIKSLCFXLT7NN5

not attested not anchored not stored refs pending

Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds

Andrei Agrachev, Paul Lee

arxiv:0903.2550 v4 · 2009-03-16 · math.DG · 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{RALSNACDIO62ZIKSLCFXLT7NN5}

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	2026-05-18T02:58:43.740508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881726804343bdaca152588b75cfed6f6845b69381b964bc2081d1fc6cd00a86

Aliases

arxiv: 0903.2550 · arxiv_version: 0903.2550v4 · doi: 10.48550/arxiv.0903.2550 · pith_short_12: RALSNACDIO62 · pith_short_16: RALSNACDIO62ZIKS · pith_short_8: RALSNACD

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/RALSNACDIO62ZIKSLCFXLT7NN5 \
  | 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: 881726804343bdaca152588b75cfed6f6845b69381b964bc2081d1fc6cd00a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d1e568921b4744260f06ad4bb83a4eee57d7e9c3b55576e8f2b7f3d38134ed5",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-16T13:49:37Z",
    "title_canon_sha256": "132ed9610898281528d41fa0fcb867e3c2c894674be0154f2709ef228df7c07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2550",
    "kind": "arxiv",
    "version": 4
  }
}