Pith Number

pith:XS3ZNB7G

pith:2010:XS3ZNB7GGGYL3RHBWW5Q54WEPY

not attested not anchored not stored refs pending

$L^2$-theory for the $\overline\partial$-operator on compact complex spaces

Jean Ruppenthal

arxiv:1004.0396 v3 · 2010-04-02 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XS3ZNB7GGGYL3RHBWW5Q54WEPY}

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	2026-05-18T01:28:22.125772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb79687e631b0bdc4e1b5bb0ef2c47e1a93318a7688e5e009883a49afee53fa

Aliases

arxiv: 1004.0396 · arxiv_version: 1004.0396v3 · doi: 10.48550/arxiv.1004.0396 · pith_short_12: XS3ZNB7GGGYL · pith_short_16: XS3ZNB7GGGYL3RHB · pith_short_8: XS3ZNB7G

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/XS3ZNB7GGGYL3RHBWW5Q54WEPY \
  | 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: bcb79687e631b0bdc4e1b5bb0ef2c47e1a93318a7688e5e009883a49afee53fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592ea141a924a1a3b0d6e2bc969f159efb2922f19fa80a4b7d937079d0b92abe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-04-02T22:03:37Z",
    "title_canon_sha256": "15cb86e729183023afc8c412fa4af51c76fb5e7cb0ae7d525220270bb1466c94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0396",
    "kind": "arxiv",
    "version": 3
  }
}