Pith Number

pith:PG6SGUV2

pith:2012:PG6SGUV2QM2WM7BQOJUECMWCFF

not attested not anchored not stored refs pending

Calder\'{o}n commutators and the Cauchy integral on Lipschitz curves revisited II. Cauchy integral and generalizations

Camil Muscalu

arxiv:1201.3850 v2 · 2012-01-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PG6SGUV2QM2WM7BQOJUECMWCFF}

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	2026-05-18T03:17:35.508691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79bd2352ba8335667c3072684132c2294b350c75992e351d669b5791a76f8577

Aliases

arxiv: 1201.3850 · arxiv_version: 1201.3850v2 · doi: 10.48550/arxiv.1201.3850 · pith_short_12: PG6SGUV2QM2W · pith_short_16: PG6SGUV2QM2WM7BQ · pith_short_8: PG6SGUV2

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/PG6SGUV2QM2WM7BQOJUECMWCFF \
  | 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: 79bd2352ba8335667c3072684132c2294b350c75992e351d669b5791a76f8577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59309129653e097558dca8cb900e880b5469c80f3a81269aba4a69e66b8eb2ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-18T17:01:55Z",
    "title_canon_sha256": "b838018639a26f04705f13ed559859f80ab9a57420e1872ec1a42bd12c031aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3850",
    "kind": "arxiv",
    "version": 2
  }
}