Pith Number

pith:YBZ4HOGJ

pith:2010:YBZ4HOGJ7JR47GGH4QP3OP46NE

not attested not anchored not stored refs pending

Topological properties of manifolds admitting a $Y^x$-Riemannian metric

Paul Kinlaw, Rustam Sadykov, Vladimir Chernov

arxiv:1005.5075 v1 · 2010-05-27 · math.DG · gr-qc · math-ph · math.GT · 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{YBZ4HOGJ7JR47GGH4QP3OP46NE}

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	2026-05-18T02:33:23.773696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c073c3b8c9fa63cf98c7e41fb73f9e693ad9eb44f26d1355580785a40c429abf

Aliases

arxiv: 1005.5075 · arxiv_version: 1005.5075v1 · doi: 10.48550/arxiv.1005.5075 · pith_short_12: YBZ4HOGJ7JR4 · pith_short_16: YBZ4HOGJ7JR47GGH · pith_short_8: YBZ4HOGJ

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/YBZ4HOGJ7JR47GGH4QP3OP46NE \
  | 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: c073c3b8c9fa63cf98c7e41fb73f9e693ad9eb44f26d1355580785a40c429abf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2dd08bf5400cad39b72b8bbacc5c193e8c13f0d4696f9e7e2dda506fabf08c",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-27T14:07:52Z",
    "title_canon_sha256": "a4e4f1871c51e17639feeb7e6c81c6729d6a3219d12f065b9f48ad8cf03c5d02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5075",
    "kind": "arxiv",
    "version": 1
  }
}