Pith Number

pith:K4IWXP3E

pith:2019:K4IWXP3EU725X63IS3OY7QLUYI

not attested not anchored not stored refs pending

The uniform perfectness of diffeomorphism groups of open manifolds

Kazuhiko Fukui, Tatsuhiko Yagasaki, Tomasz Rybicki

arxiv:1905.07664 v1 · 2019-05-19 · math.GT · math.DG · math.DS · 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{K4IWXP3EU725X63IS3OY7QLUYI}

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	2026-05-17T23:45:48.859513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57116bbf64a7f5dbfb6896dd8fc174c238c2eacb9819bffd786eb8d2cbf303a8

Aliases

arxiv: 1905.07664 · arxiv_version: 1905.07664v1 · doi: 10.48550/arxiv.1905.07664 · pith_short_12: K4IWXP3EU725 · pith_short_16: K4IWXP3EU725X63I · pith_short_8: K4IWXP3E

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/K4IWXP3EU725X63IS3OY7QLUYI \
  | 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: 57116bbf64a7f5dbfb6896dd8fc174c238c2eacb9819bffd786eb8d2cbf303a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffaceaacae5fefdc364f029b40a6a7bf98aec6bb94f79310993e3fdec48ca521",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-19T00:04:50Z",
    "title_canon_sha256": "fae8d0cd02e6c69a7d2aea17cbb095dcbd4e3a5c75c54a6a1f9f83c5924c6bf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07664",
    "kind": "arxiv",
    "version": 1
  }
}