Pith Number

pith:KJBJWXIV

pith:2010:KJBJWXIVMDVZLU36EGB7R2M3NZ

not attested not anchored not stored refs pending

Determining When The Universal Abelian Cover of a Graph Manifold is a Rationla Homology Sphere

Helge M{\o}ller Pedersen

arxiv:1011.0285 v1 · 2010-11-01 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJBJWXIVMDVZLU36EGB7R2M3NZ}

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	2026-05-18T04:37:23.498297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52429b5d1560eb95d37e2183f8e99b6e6b6e37db8e381ec923b0084f5b4a8d27

Aliases

arxiv: 1011.0285 · arxiv_version: 1011.0285v1 · doi: 10.48550/arxiv.1011.0285 · pith_short_12: KJBJWXIVMDVZ · pith_short_16: KJBJWXIVMDVZLU36 · pith_short_8: KJBJWXIV

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/KJBJWXIVMDVZLU36EGB7R2M3NZ \
  | 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: 52429b5d1560eb95d37e2183f8e99b6e6b6e37db8e381ec923b0084f5b4a8d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49880819b286298df60d1364aa4c784fbcf775479b3f4dd09bb040857e84695e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-01T10:44:24Z",
    "title_canon_sha256": "fd4933f9bcb0bf597cfb5c0464e18738c562325de5fae1aba1f93817dbd2d24b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0285",
    "kind": "arxiv",
    "version": 1
  }
}