Pith Number

pith:UMKCLYWZ

pith:2007:UMKCLYWZWQY3XLQ27VEXFKAHOF

not attested not anchored not stored refs pending

Which 3-manifold groups are K\"ahler groups?

Alexander I. Suciu, Alexandru Dimca

arxiv:0709.4350 v2 · 2007-09-27 · math.AG · 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{UMKCLYWZWQY3XLQ27VEXFKAHOF}

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	2026-05-18T04:38:51.061466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31425e2d9b431bbae1afd4972a807716b470cb68523eebb6954e747ecdf1f57

Aliases

arxiv: 0709.4350 · arxiv_version: 0709.4350v2 · doi: 10.48550/arxiv.0709.4350 · pith_short_12: UMKCLYWZWQY3 · pith_short_16: UMKCLYWZWQY3XLQ2 · pith_short_8: UMKCLYWZ

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/UMKCLYWZWQY3XLQ27VEXFKAHOF \
  | 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: a31425e2d9b431bbae1afd4972a807716b470cb68523eebb6954e747ecdf1f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b0d65d51b860e04dec7c8ef54dc9e7f359f947aed1c25cb02ec927151d78138",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-09-27T10:12:16Z",
    "title_canon_sha256": "8f062cf11f652c11ccc984bca11b746a4874505252f9cb7edf6bab91d5a1adf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4350",
    "kind": "arxiv",
    "version": 2
  }
}