Pith Number

pith:PSIZX5GD

pith:2016:PSIZX5GDFDZHBTPOBETMPZ2M5Z

not attested not anchored not stored refs pending

Cubulable K\"ahler groups

Pierre Py, Thomas Delzant

arxiv:1609.08474 v1 · 2016-09-27 · math.GT · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSIZX5GDFDZHBTPOBETMPZ2M5Z}

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	2026-05-17T23:42:31.224582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c919bf4c328f270cdee0926c7e74cee4e1c6ee6d975724a08de7e9633a6ecbb

Aliases

arxiv: 1609.08474 · arxiv_version: 1609.08474v1 · doi: 10.48550/arxiv.1609.08474 · pith_short_12: PSIZX5GDFDZH · pith_short_16: PSIZX5GDFDZHBTPO · pith_short_8: PSIZX5GD

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/PSIZX5GDFDZHBTPOBETMPZ2M5Z \
  | 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: 7c919bf4c328f270cdee0926c7e74cee4e1c6ee6d975724a08de7e9633a6ecbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75163d621ee0d17b79e35aa8b75db497e51aff5f1d925c4780e72350ae2dfa2",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-09-27T14:29:24Z",
    "title_canon_sha256": "704d33dc788f27d2fa399fa95d559741eb73991d34cd0a0007023194d0cf43de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08474",
    "kind": "arxiv",
    "version": 1
  }
}