Pith Number

pith:QV3AEZNN

pith:2011:QV3AEZNNC325HX5ICT4C6XZDZ4

not attested not anchored not stored refs pending

The Geometry of Warped Product Singularities

Ovidiu Cristinel Stoica

arxiv:1105.3404 v4 · 2011-05-17 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QV3AEZNNC325HX5ICT4C6XZDZ4}

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	2026-05-18T00:51:58.650728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85760265ad16f5d3dfa814f82f5f23cf2f3b5e14eda975e3c2cad1826b3cb2b0

Aliases

arxiv: 1105.3404 · arxiv_version: 1105.3404v4 · doi: 10.48550/arxiv.1105.3404 · pith_short_12: QV3AEZNNC325 · pith_short_16: QV3AEZNNC325HX5I · pith_short_8: QV3AEZNN

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/QV3AEZNNC325HX5ICT4C6XZDZ4 \
  | 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: 85760265ad16f5d3dfa814f82f5f23cf2f3b5e14eda975e3c2cad1826b3cb2b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50f17667b2a37fbf79d875d3bbc9f0efe42e3b387fa8a5c42f13cec043c31f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-17T14:59:10Z",
    "title_canon_sha256": "3549e1a19de03697f36599f36e9a0084f86840e2a3f01e4008f6194785c0fb21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3404",
    "kind": "arxiv",
    "version": 4
  }
}