Pith Number

pith:3PE332AB

pith:2011:3PE332ABGWIVFQIRUB5XFCUDLN

not attested not anchored not stored refs pending

$L^2$-extension of $\dbar$-closed forms

Bo Berndtsson

arxiv:1104.4620 v1 · 2011-04-24 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PE332ABGWIVFQIRUB5XFCUDLN}

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	2026-05-18T04:23:33.748932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc9bde801359152c111a07b728a835b5d534604d319088a864a796ae3c76f3a

Aliases

arxiv: 1104.4620 · arxiv_version: 1104.4620v1 · doi: 10.48550/arxiv.1104.4620 · pith_short_12: 3PE332ABGWIV · pith_short_16: 3PE332ABGWIVFQIR · pith_short_8: 3PE332AB

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/3PE332ABGWIVFQIRUB5XFCUDLN \
  | 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: dbc9bde801359152c111a07b728a835b5d534604d319088a864a796ae3c76f3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "633b35f5b3fe50049413c167667acf0f3b481d649e46f1191e26feb3a9e3dc2c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-24T11:08:53Z",
    "title_canon_sha256": "16c639d542c79ca7a34483f9822432183c0d199b21084e1b073c0d371aebc618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4620",
    "kind": "arxiv",
    "version": 1
  }
}