Pith Number

pith:Z2CB4JJU

pith:2014:Z2CB4JJU2Z4WQCVSTDIAUGTFBW

not attested not anchored not stored refs pending

An exotic zoo of diffeomorphism groups on $\mathbb R^n$

Andreas Kriegl, Armin Rainer, Peter W. Michor

arxiv:1404.7033 v2 · 2014-04-28 · math.DG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2CB4JJU2Z4WQCVSTDIAUGTFBW}

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	2026-05-18T01:16:19.140195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce841e2534d679680ab298d00a1a650d8073aca21b860d9977cdb85682883a1f

Aliases

arxiv: 1404.7033 · arxiv_version: 1404.7033v2 · doi: 10.48550/arxiv.1404.7033 · pith_short_12: Z2CB4JJU2Z4W · pith_short_16: Z2CB4JJU2Z4WQCVS · pith_short_8: Z2CB4JJU

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/Z2CB4JJU2Z4WQCVSTDIAUGTFBW \
  | 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: ce841e2534d679680ab298d00a1a650d8073aca21b860d9977cdb85682883a1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c1822f05430a251eb34990ac44273ceac2a88eae986f9c187c9b3920ee60c5",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-28T16:07:08Z",
    "title_canon_sha256": "6792f160eca6f926250ba4f8569995d95e74f6e87f0747d88cf1d21e050f1f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7033",
    "kind": "arxiv",
    "version": 2
  }
}