Pith Number

pith:IXMI4AV2

pith:2017:IXMI4AV27G23BP2DYCR2HILQR6

not attested not anchored not stored refs pending

The role of an integration identity in the analysis of the Cauchy-Leray transform

Elias M. Stein, Loredana Lanzani

arxiv:1704.05381 v1 · 2017-04-18 · 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{IXMI4AV27G23BP2DYCR2HILQR6}

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	2026-05-18T00:46:11.170239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d88e02baf9b5b0bf43c0a3a3a1708fa731037ff4b2986df88d159d969e4a61

Aliases

arxiv: 1704.05381 · arxiv_version: 1704.05381v1 · doi: 10.48550/arxiv.1704.05381 · pith_short_12: IXMI4AV27G23 · pith_short_16: IXMI4AV27G23BP2D · pith_short_8: IXMI4AV2

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/IXMI4AV27G23BP2DYCR2HILQR6 \
  | 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: 45d88e02baf9b5b0bf43c0a3a3a1708fa731037ff4b2986df88d159d969e4a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0c123ab7535ed92e951630910f8a4b5d0e1699a0110d6ad522191c75b97d5a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-04-18T14:58:40Z",
    "title_canon_sha256": "b567301c41a504f99c96d49b6939f981846b180ab9eec5e86c138d0901febd37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05381",
    "kind": "arxiv",
    "version": 1
  }
}