Pith Number

pith:IJGAZ4LG

pith:2010:IJGAZ4LGIERK4AVBYNWZIYZAK5

not attested not anchored not stored refs pending

On bifurcation of solutions of the Yamabe problem in product manifolds

L. L. de Lima, M. Zedda, P. Piccione

arxiv:1012.1497 v2 · 2010-12-07 · 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{IJGAZ4LGIERK4AVBYNWZIYZAK5}

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	2026-05-18T04:10:48.277216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

424c0cf1664122ae02a1c36d946320576ebb9c44e1c41a489c3d7be370b56fa6

Aliases

arxiv: 1012.1497 · arxiv_version: 1012.1497v2 · doi: 10.48550/arxiv.1012.1497 · pith_short_12: IJGAZ4LGIERK · pith_short_16: IJGAZ4LGIERK4AVB · pith_short_8: IJGAZ4LG

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/IJGAZ4LGIERK4AVBYNWZIYZAK5 \
  | 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: 424c0cf1664122ae02a1c36d946320576ebb9c44e1c41a489c3d7be370b56fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83075aa933f60c8f31614b5b1ae27e4b12cdc4933b13029e2df6930afa76c2c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-07T13:12:01Z",
    "title_canon_sha256": "2412c6e9c04a9d28329f7b1a0f0c3d10cdd29385a08a78cbf75be03e14f60c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1497",
    "kind": "arxiv",
    "version": 2
  }
}