Pith Number

pith:V4LNV7HM

pith:2014:V4LNV7HM5EFQNGQV25E7KGQHKI

not attested not anchored not stored refs pending

Sobolev inequalities and the d-bar-Neumann operator

Friedrich Haslinger

arxiv:1409.2732 v1 · 2014-09-09 · 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{V4LNV7HM5EFQNGQV25E7KGQHKI}

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	2026-05-18T02:43:09.881872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af16dafcece90b069a15d749f51a075215c401d3fa6c00a0e8f0ddc4f2b954c8

Aliases

arxiv: 1409.2732 · arxiv_version: 1409.2732v1 · doi: 10.48550/arxiv.1409.2732 · pith_short_12: V4LNV7HM5EFQ · pith_short_16: V4LNV7HM5EFQNGQV · pith_short_8: V4LNV7HM

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/V4LNV7HM5EFQNGQV25E7KGQHKI \
  | 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: af16dafcece90b069a15d749f51a075215c401d3fa6c00a0e8f0ddc4f2b954c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d7c8e8a5a60c5760c71e2e04e847f1d4bafc26cc5e422b2064138fcf5068772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-09-09T13:34:30Z",
    "title_canon_sha256": "4ea8dd668e81eb4ddab818237870a8f77a721b21f8568d0acf94ffaa19eefad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2732",
    "kind": "arxiv",
    "version": 1
  }
}