Pith Number

pith:XO7FB37V

pith:2013:XO7FB37VIMSACTDWZ55EC2DGO6

not attested not anchored not stored refs pending

The Cauchy Integral in $\mathbb C^n$ for domains with minimal smoothness

Elias M. Stein, Loredana Lanzani

arxiv:1311.5167 v1 · 2013-11-20 · 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{XO7FB37VIMSACTDWZ55EC2DGO6}

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	2026-05-18T03:06:35.074798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbbe50eff54324014c76cf7a416866778c4baa1859905798ab47e332e3f2e83a

Aliases

arxiv: 1311.5167 · arxiv_version: 1311.5167v1 · doi: 10.48550/arxiv.1311.5167 · pith_short_12: XO7FB37VIMSA · pith_short_16: XO7FB37VIMSACTDW · pith_short_8: XO7FB37V

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/XO7FB37VIMSACTDWZ55EC2DGO6 \
  | 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: bbbe50eff54324014c76cf7a416866778c4baa1859905798ab47e332e3f2e83a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf4f846a7a0cfbc161810a4fe510ce4a47c99f6f99666333e31683d50e84cd19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-20T18:40:52Z",
    "title_canon_sha256": "86dab9e8f5432092a68b4fa57ec70e4c55155273d29b980c0351d8a4887125df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5167",
    "kind": "arxiv",
    "version": 1
  }
}