Pith Number

pith:LW22GUCW

pith:2010:LW22GUCWLYW3KURFG4FEZSPVRY

not attested not anchored not stored refs pending

Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces

Alan McIntosh, Steve Hofmann, Svitlana Mayboroda

arxiv:1002.0792 v2 · 2010-02-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LW22GUCWLYW3KURFG4FEZSPVRY}

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	2026-05-18T04:34:55.339632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db5a350565e2db55225370a4cc9f58e13cfbf9948dac924d51789120b84adb1

Aliases

arxiv: 1002.0792 · arxiv_version: 1002.0792v2 · doi: 10.48550/arxiv.1002.0792 · pith_short_12: LW22GUCWLYW3 · pith_short_16: LW22GUCWLYW3KURF · pith_short_8: LW22GUCW

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/LW22GUCWLYW3KURFG4FEZSPVRY \
  | 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: 5db5a350565e2db55225370a4cc9f58e13cfbf9948dac924d51789120b84adb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca13bcd63a133edf14c0f6ba32bb2d5405f61004924b07a521e25f8415581933",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-02-03T17:13:51Z",
    "title_canon_sha256": "830f85efc1b8d730b01c14a428fc0487ab3490a660d0f1a6083ac4296dac631a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0792",
    "kind": "arxiv",
    "version": 2
  }
}