Pith Number

pith:KCFOZCES

pith:2017:KCFOZCESHCPUPFSBGCLKJ4L7DH

not attested not anchored not stored refs pending

The Cauchy-Leray integral: counter-examples to the $L^p$-theory

Elias M. Stein, Loredana Lanzani

arxiv:1701.03812 v1 · 2017-01-13 · 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{KCFOZCESHCPUPFSBGCLKJ4L7DH}

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	2026-05-18T00:52:48.909085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508aec8892389f4796413096a4f17f19cd4bec1b5dd867b095051792eb96612c

Aliases

arxiv: 1701.03812 · arxiv_version: 1701.03812v1 · doi: 10.48550/arxiv.1701.03812 · pith_short_12: KCFOZCESHCPU · pith_short_16: KCFOZCESHCPUPFSB · pith_short_8: KCFOZCES

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/KCFOZCESHCPUPFSBGCLKJ4L7DH \
  | 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: 508aec8892389f4796413096a4f17f19cd4bec1b5dd867b095051792eb96612c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba65d9cb50292f94cc75013e9039de63d061727a7dc3713fcdb42d20eefbbc3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-01-13T19:50:52Z",
    "title_canon_sha256": "2afa0b7bc81385632fa7b82cfcaa83ea69d5e9d52fa4462e4abf19c309294ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03812",
    "kind": "arxiv",
    "version": 1
  }
}