Pith Number

pith:Z6QRDT2O

pith:2011:Z6QRDT2OFJES2E57QZNWTR6Q5B

not attested not anchored not stored refs pending

Geometry of PR-warped products in para-Kaehler manifolds

Bang-Yen Chen, Marian Ioan Munteanu

arxiv:1106.3674 v1 · 2011-06-18 · 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{Z6QRDT2OFJES2E57QZNWTR6Q5B}

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	2026-05-18T04:19:42.429829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa111cf4e2a492d13bf865b69c7d0e873046ab70b6af5d1039fa46037a7a5c5

Aliases

arxiv: 1106.3674 · arxiv_version: 1106.3674v1 · doi: 10.48550/arxiv.1106.3674 · pith_short_12: Z6QRDT2OFJES · pith_short_16: Z6QRDT2OFJES2E57 · pith_short_8: Z6QRDT2O

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/Z6QRDT2OFJES2E57QZNWTR6Q5B \
  | 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: cfa111cf4e2a492d13bf865b69c7d0e873046ab70b6af5d1039fa46037a7a5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dbdc68423c291880c81879014704660ab0d13220f5b305d89bfd725e55237c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-18T18:22:45Z",
    "title_canon_sha256": "9ad866f7432266e8a347fe2fca74be60b4629e0b7b9d497fa0928aba71c90263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3674",
    "kind": "arxiv",
    "version": 1
  }
}