Pith Number

pith:NE5DWZPM

pith:2011:NE5DWZPMXQOM2RVUNOA75C7JAZ

not attested not anchored not stored refs pending

Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres

Paolo Piccione, Renato G. Bettiol

arxiv:1107.5335 v3 · 2011-07-26 · 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{NE5DWZPMXQOM2RVUNOA75C7JAZ}

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	2026-05-18T03:16:40.632564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693a3b65ecbc1ccd46b46b81fe8be9065f2b949a80947e9e6f1b38587c361dcb

Aliases

arxiv: 1107.5335 · arxiv_version: 1107.5335v3 · doi: 10.48550/arxiv.1107.5335 · pith_short_12: NE5DWZPMXQOM · pith_short_16: NE5DWZPMXQOM2RVU · pith_short_8: NE5DWZPM

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/NE5DWZPMXQOM2RVUNOA75C7JAZ \
  | 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: 693a3b65ecbc1ccd46b46b81fe8be9065f2b949a80947e9e6f1b38587c361dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929d140156ff6dbd9a174756506801a39bd958d2ca4b6b666b4d92103801142f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-26T21:10:07Z",
    "title_canon_sha256": "e6d0638b152549c11896f7c8b021c5259ae9778408cee214425d3574562f962d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5335",
    "kind": "arxiv",
    "version": 3
  }
}