Pith Number

pith:5KIL2QHL

pith:2011:5KIL2QHLRV5AN75UJIOMT3HOVF

not attested not anchored not stored refs pending

On the homeomorphism groups of manifolds and their universal coverings

Agnieszka Kowalik, Tomasz Rybicki

arxiv:1104.2227 v3 · 2011-04-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KIL2QHLRV5AN75UJIOMT3HOVF}

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	2026-05-18T04:20:24.555513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea90bd40eb8d7a06ffb44a1cc9eceea9735b76151af5d7fd4b43932d3440a5e1

Aliases

arxiv: 1104.2227 · arxiv_version: 1104.2227v3 · doi: 10.48550/arxiv.1104.2227 · pith_short_12: 5KIL2QHLRV5A · pith_short_16: 5KIL2QHLRV5AN75U · pith_short_8: 5KIL2QHL

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/5KIL2QHLRV5AN75UJIOMT3HOVF \
  | 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: ea90bd40eb8d7a06ffb44a1cc9eceea9735b76151af5d7fd4b43932d3440a5e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb36669bb438b09d4ebbeb8c25b1790ea3571db74eadba722d14858e738270aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-12T14:31:07Z",
    "title_canon_sha256": "ab93383ed5a27e94c5958efbe2af67e3ae68b0f66d325c112e0965b7ab3e2c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2227",
    "kind": "arxiv",
    "version": 3
  }
}