Pith Number

pith:4OO36FFX

pith:2019:4OO36FFXOWKB7QOWK26MX6NKWW

not attested not anchored not stored refs pending

Spectral Stability of the $\bar\partial-$Neumann Laplacian: Domain Perturbations

Siqi Fu, Weixia Zhu

arxiv:1908.03256 v1 · 2019-08-08 · 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{4OO36FFXOWKB7QOWK26MX6NKWW}

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	2026-07-04T23:52:37.824624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39dbf14b775941fc1d656bccbf9aab5b1a0a77489b4cbc067f9ffb2d5bba97f

Aliases

arxiv: 1908.03256 · arxiv_version: 1908.03256v1 · doi: 10.48550/arxiv.1908.03256 · pith_short_12: 4OO36FFXOWKB · pith_short_16: 4OO36FFXOWKB7QOW · pith_short_8: 4OO36FFX

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/4OO36FFXOWKB7QOWK26MX6NKWW \
  | 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: e39dbf14b775941fc1d656bccbf9aab5b1a0a77489b4cbc067f9ffb2d5bba97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac94e9a0ed72a3cb298df86218b66a58467327e8171cb635f27716e4cfe0f71c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-08T20:21:02Z",
    "title_canon_sha256": "7c298f045c98968fa45dea03e4bc567605c5c8e9bb8f65898ff095f27f97d40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03256",
    "kind": "arxiv",
    "version": 1
  }
}