Pith Number

pith:I6ACUFWI

pith:2018:I6ACUFWIDS7QCZSSF7KN75XG2K

not attested not anchored not stored refs pending

On 1-connected 8-manifolds with the same homology as $S^3\times S^5$

Xueqi Wang

arxiv:1810.08478 v1 · 2018-10-19 · 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{I6ACUFWIDS7QCZSSF7KN75XG2K}

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	2026-05-18T00:02:47.965288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47802a16c81cbf0166522fd4dff6e6d295f2d9e5b1a055f5ee53f82fb63f2cd1

Aliases

arxiv: 1810.08478 · arxiv_version: 1810.08478v1 · doi: 10.48550/arxiv.1810.08478 · pith_short_12: I6ACUFWIDS7Q · pith_short_16: I6ACUFWIDS7QCZSS · pith_short_8: I6ACUFWI

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/I6ACUFWIDS7QCZSSF7KN75XG2K \
  | 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: 47802a16c81cbf0166522fd4dff6e6d295f2d9e5b1a055f5ee53f82fb63f2cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f02e55566c65b1722e77aeb7ff631773d3e5fc31ab23acbcc86ff34799fc484a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-10-19T13:07:13Z",
    "title_canon_sha256": "1e6cf7966e0fdf634a220d22605fe50ad223f5ea4f9307fd5bbb9af8f2b0367b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08478",
    "kind": "arxiv",
    "version": 1
  }
}