Pith Number

pith:4GOZ35J6

pith:2015:4GOZ35J6QEYMJU5FEKNCWVO5SC

not attested not anchored not stored refs pending

Conjugate complex homogeneous spaces with non-isomorphic fundamental groups

Mikhail Borovoi, Yves Cornulier

arxiv:1505.02323 v1 · 2015-05-09 · math.AG · math.AT · 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{4GOZ35J6QEYMJU5FEKNCWVO5SC}

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	2026-05-18T01:27:31.705494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19d9df53e8130c4d3a5229a2b55dd90b12c0cbccad0b6bf90403ca08a27b4b0

Aliases

arxiv: 1505.02323 · arxiv_version: 1505.02323v1 · doi: 10.48550/arxiv.1505.02323 · pith_short_12: 4GOZ35J6QEYM · pith_short_16: 4GOZ35J6QEYMJU5F · pith_short_8: 4GOZ35J6

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/4GOZ35J6QEYMJU5FEKNCWVO5SC \
  | 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: e19d9df53e8130c4d3a5229a2b55dd90b12c0cbccad0b6bf90403ca08a27b4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414d8c175bbd6d090164c14fbb98a58c5c4d5e010c4d6c71b0a691c911d93188",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-09T22:26:21Z",
    "title_canon_sha256": "7efa1046097375d7bbec29f6d2d34b7b9ee704827b23ebe3ff903ee7694c84dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02323",
    "kind": "arxiv",
    "version": 1
  }
}