Pith Number

pith:7YBXSQFG

pith:2010:7YBXSQFGTGKXYRAEZRHGNDZPRU

not attested not anchored not stored refs pending

Compactness of the $\bar\partial $ - Neumann operator on weighted $(0,q)$- forms

Friedrich Haslinger

arxiv:1012.4333 v1 · 2010-12-20 · 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{7YBXSQFGTGKXYRAEZRHGNDZPRU}

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	2026-05-18T04:32:54.947771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe037940a699957c4404cc4e668f2f8d1069b0b45bd9403f4c0ec96081f3385b

Aliases

arxiv: 1012.4333 · arxiv_version: 1012.4333v1 · doi: 10.48550/arxiv.1012.4333 · pith_short_12: 7YBXSQFGTGKX · pith_short_16: 7YBXSQFGTGKXYRAE · pith_short_8: 7YBXSQFG

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/7YBXSQFGTGKXYRAEZRHGNDZPRU \
  | 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: fe037940a699957c4404cc4e668f2f8d1069b0b45bd9403f4c0ec96081f3385b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29444bba365f8b57fbc87ac5c88f45d6ad3ff946ce02bd6b23828b2fe34412d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-20T14:04:44Z",
    "title_canon_sha256": "396bebf43e5a1d71bd27c54380a6317f9bb54d534c1118b5402bed531926b874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4333",
    "kind": "arxiv",
    "version": 1
  }
}