Pith Number

pith:4PXP6JLR

pith:2009:4PXP6JLRWVHN6DTCI5SDFMDO6Q

not attested not anchored not stored refs pending

A transversal Fredholm property for the $\bar\partial$-Neumann problem on $G$-bundles

Joe J. Perez

arxiv:0912.4287 v1 · 2009-12-21 · math.CV · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PXP6JLRWVHN6DTCI5SDFMDO6Q}

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	2026-05-18T04:31:11.959928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3eeff2571b54edf0e62476432b06ef4330bc96dd00ef6c13799e49e85932efd

Aliases

arxiv: 0912.4287 · arxiv_version: 0912.4287v1 · doi: 10.48550/arxiv.0912.4287 · pith_short_12: 4PXP6JLRWVHN · pith_short_16: 4PXP6JLRWVHN6DTC · pith_short_8: 4PXP6JLR

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/4PXP6JLRWVHN6DTCI5SDFMDO6Q \
  | 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: e3eeff2571b54edf0e62476432b06ef4330bc96dd00ef6c13799e49e85932efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82dfe5c702dca74df92318e38dfbd8f85b2f7c9b044896b472432d063f263e97",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-12-21T23:09:04Z",
    "title_canon_sha256": "9d78bd946df7cc6dac63a21532fb05c4a35c35fa46f09eeb644bc0063beb3d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4287",
    "kind": "arxiv",
    "version": 1
  }
}