Pith Number

pith:VWABVBQ4

pith:2010:VWABVBQ43Z2PEI4A4LKE7U37IX

not attested not anchored not stored refs pending

Groups of formal diffeomorphisms in several complex variables and closed one-forms

Bruno Scardua, Mitchael Martelo

arxiv:1012.3070 v2 · 2010-12-14 · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWABVBQ43Z2PEI4A4LKE7U37IX}

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	2026-05-18T04:10:12.441301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad801a861cde74f22380e2d44fd37f45ed2888be3605bfb10901a4beb33bcaeb

Aliases

arxiv: 1012.3070 · arxiv_version: 1012.3070v2 · doi: 10.48550/arxiv.1012.3070 · pith_short_12: VWABVBQ43Z2P · pith_short_16: VWABVBQ43Z2PEI4A · pith_short_8: VWABVBQ4

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/VWABVBQ43Z2PEI4A4LKE7U37IX \
  | 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: ad801a861cde74f22380e2d44fd37f45ed2888be3605bfb10901a4beb33bcaeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdb8520d1ff61d3dadd72ab8d46c282235411b4f71b4f5267273beb050bda3b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-14T16:09:34Z",
    "title_canon_sha256": "cf2328ed3ea9090cf46f44a94b7b7a023eaa57000055fbca548cc61b781c807d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3070",
    "kind": "arxiv",
    "version": 2
  }
}