Pith Number

pith:NWTHDNKJ

pith:2012:NWTHDNKJ3BBAAV7LILZL7W5NWR

not attested not anchored not stored refs pending

A zoo of diffeomorphism groups on $\mathbb R^n$

David Mumford, Peter W. Michor

arxiv:1211.5704 v2 · 2012-11-24 · math.FA · 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{NWTHDNKJ3BBAAV7LILZL7W5NWR}

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	2026-05-18T02:41:09.210628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da671b549d8420057eb42f2bfdbadb46b83bd4ea97a82c4c7b59d03f42a0d45

Aliases

arxiv: 1211.5704 · arxiv_version: 1211.5704v2 · doi: 10.48550/arxiv.1211.5704 · pith_short_12: NWTHDNKJ3BBA · pith_short_16: NWTHDNKJ3BBAAV7L · pith_short_8: NWTHDNKJ

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/NWTHDNKJ3BBAAV7LILZL7W5NWR \
  | 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: 6da671b549d8420057eb42f2bfdbadb46b83bd4ea97a82c4c7b59d03f42a0d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ae0462eef076d16968094277df8207107cd677c314a05f4cb086b8824dd806",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-24T20:37:18Z",
    "title_canon_sha256": "a176584731f5a3327c8c9258e3f6a3d34a95938c4cb3a3d3a41c604862e7bc1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5704",
    "kind": "arxiv",
    "version": 2
  }
}