Pith Number

pith:YITR2QU3

pith:2012:YITR2QU3XY3VRR34CZQVQAMNRV

not attested not anchored not stored refs pending

Sobolev Metrics on Diffeomorphism Groups and the Derived Geometry of Spaces of Submanifolds

David Mumford, Mario Micheli, Peter W. Michor

arxiv:1202.3677 v2 · 2012-02-16 · 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{YITR2QU3XY3VRR34CZQVQAMNRV}

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	2026-05-18T02:20:00.660296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2271d429bbe3758c77c166158018d8d50b8d62c4cc0de8fb7c5c92f8cb84a36

Aliases

arxiv: 1202.3677 · arxiv_version: 1202.3677v2 · doi: 10.48550/arxiv.1202.3677 · pith_short_12: YITR2QU3XY3V · pith_short_16: YITR2QU3XY3VRR34 · pith_short_8: YITR2QU3

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/YITR2QU3XY3VRR34CZQVQAMNRV \
  | 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: c2271d429bbe3758c77c166158018d8d50b8d62c4cc0de8fb7c5c92f8cb84a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57833dd3b4175e54ab07c496558903a0962c63c61236e319071d3ca3907111d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-16T19:36:50Z",
    "title_canon_sha256": "f240039289dfc99f96132c918cf921142e9e29cf0c48b8733662350ec25b6137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3677",
    "kind": "arxiv",
    "version": 2
  }
}