pith. sign in
Pith Number

pith:444ZDHKF

pith:2017:444ZDHKFK22S4AOZEEU7TZVI4P
not attested not anchored not stored refs pending

Sobolev spaces for the weighted d-bar-Neumann operator

Friedrich Haslinger

arxiv:1707.05136 v1 · 2017-07-17 · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{444ZDHKFK22S4AOZEEU7TZVI4P}

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 2026-05-18T00:40:11.289295Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e739919d4556b52e01d92129f9e6a8e3dabd651e9748c5993218c81a873a8a6e

Aliases

arxiv: 1707.05136 · arxiv_version: 1707.05136v1 · doi: 10.48550/arxiv.1707.05136 · pith_short_12: 444ZDHKFK22S · pith_short_16: 444ZDHKFK22S4AOZ · pith_short_8: 444ZDHKF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/444ZDHKFK22S4AOZEEU7TZVI4P \
  | 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: e739919d4556b52e01d92129f9e6a8e3dabd651e9748c5993218c81a873a8a6e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fa3a3e1b7104571662bc733def2f944c6723d8686ef24250ddbd0c441f2ebb8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-07-17T13:13:33Z",
    "title_canon_sha256": "e25eed5e1dfcc66a471aca79393cd753457f5f6361c8ba05d4d181280ac20293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05136",
    "kind": "arxiv",
    "version": 1
  }
}