Pith Number

pith:WI5AZ25L

pith:2004:WI5AZ25LPBUTOEPQUFRT2XQZ7Z

not attested not anchored not stored refs pending

Smooth perfectness for the group of diffeomorphisms

Josef Teichmann, Stefan Haller, Tomasz Rybicki

arxiv:math/0409605 v3 · 2004-09-30 · 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{WI5AZ25LPBUTOEPQUFRT2XQZ7Z}

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	2026-05-18T04:04:52.430081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23a0cebab78693711f0a1633d5e19fe6d8cd82daa622d9c6b3e6870cff57534

Aliases

arxiv: math/0409605 · arxiv_version: math/0409605v3 · doi: 10.48550/arxiv.math/0409605 · pith_short_12: WI5AZ25LPBUT · pith_short_16: WI5AZ25LPBUTOEPQ · pith_short_8: WI5AZ25L

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/WI5AZ25LPBUTOEPQUFRT2XQZ7Z \
  | 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: b23a0cebab78693711f0a1633d5e19fe6d8cd82daa622d9c6b3e6870cff57534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91105bb6f11c0cc7505300310ae32c1162daed1be0d881a1d3cc7454e1f0d05d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2004-09-30T17:31:56Z",
    "title_canon_sha256": "d015281179fff7a3161922d6f2a416fc22daa02c354a934a47deaefed633d551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409605",
    "kind": "arxiv",
    "version": 3
  }
}