Pith Number

pith:KHBPAE2G

pith:2012:KHBPAE2GPYIJOJZCBW3VBRUPIM

not attested not anchored not stored refs pending

The k-Yamabe problem on CR manifolds

Ezequiel Barbosa, Luiz Gustavo Carneiro, Marcos Montenegro

arxiv:1205.1840 v1 · 2012-05-08 · 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{KHBPAE2GPYIJOJZCBW3VBRUPIM}

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	2026-05-18T03:55:58.558371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c2f013467e109727220db750c68f4319c91e3da588a4a657c3caf383939148

Aliases

arxiv: 1205.1840 · arxiv_version: 1205.1840v1 · doi: 10.48550/arxiv.1205.1840 · pith_short_12: KHBPAE2GPYIJ · pith_short_16: KHBPAE2GPYIJOJZC · pith_short_8: KHBPAE2G

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/KHBPAE2GPYIJOJZCBW3VBRUPIM \
  | 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: 51c2f013467e109727220db750c68f4319c91e3da588a4a657c3caf383939148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b3e0bfb6c117744d8059cd3885b5d2314e490d9d6a9b74d561beeda2ef1230",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-08T22:07:33Z",
    "title_canon_sha256": "c6537ff7900e85115ba0bcb18259197118c0432d91a06db4a6a96ee829c4a393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1840",
    "kind": "arxiv",
    "version": 1
  }
}