Pith Number

pith:YBU7DR3E

pith:2008:YBU7DR3ERXXANIKVHGC33W2U6Q

not attested not anchored not stored refs pending

Embeddings of k-connected n-manifolds into R^{2n-k-1}

A. Skopenkov

arxiv:0812.0263 v4 · 2008-12-01 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBU7DR3ERXXANIKVHGC33W2U6Q}

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	2026-05-18T04:38:50.994261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c069f1c7648dee06a1553985bddb54f400ab1e1ddd3a77b5a150fef8ee4741cb

Aliases

arxiv: 0812.0263 · arxiv_version: 0812.0263v4 · doi: 10.48550/arxiv.0812.0263 · pith_short_12: YBU7DR3ERXXA · pith_short_16: YBU7DR3ERXXANIKV · pith_short_8: YBU7DR3E

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/YBU7DR3ERXXANIKVHGC33W2U6Q \
  | 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: c069f1c7648dee06a1553985bddb54f400ab1e1ddd3a77b5a150fef8ee4741cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53a6eaab70b6410d0c38a18bb49f9b63eba1dd1e027e12b12035aa35ada03eac",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-12-01T10:52:39Z",
    "title_canon_sha256": "1d6740777c61bcda9c736db50865ed3f421f499ff116902144fe19661e04e00f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0263",
    "kind": "arxiv",
    "version": 4
  }
}