Pith Number

pith:NEJO5Y4W

pith:2011:NEJO5Y4WYOWXGO24VQPXIWHXJE

not attested not anchored not stored refs pending

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group

Martin Bauer, Martins Bruveris, Peter W. Michor, Philipp Harms

arxiv:1105.0327 v3 · 2011-05-02 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NEJO5Y4WYOWXGO24VQPXIWHXJE}

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	2026-05-18T03:25:25.976567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6912eee396c3ad733b5cac1f7458f74914afbd5766ee6dd6471016664c0a25c2

Aliases

arxiv: 1105.0327 · arxiv_version: 1105.0327v3 · doi: 10.48550/arxiv.1105.0327 · pith_short_12: NEJO5Y4WYOWX · pith_short_16: NEJO5Y4WYOWXGO24 · pith_short_8: NEJO5Y4W

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/NEJO5Y4WYOWXGO24VQPXIWHXJE \
  | 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: 6912eee396c3ad733b5cac1f7458f74914afbd5766ee6dd6471016664c0a25c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232e551fbedeb5fdd9ce80ef9fdf19738f7f4ebd1797f8a7d0d08ebf71c496bc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-02T13:42:31Z",
    "title_canon_sha256": "77522bb185035c02308628b87c888b7bee2906d3e6e5b76c084d1d3dc458b5ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0327",
    "kind": "arxiv",
    "version": 3
  }
}