Pith Number

pith:B24ZBHCM

pith:2012:B24ZBHCMP2RR3QQEYP2XYOV2RP

not attested not anchored not stored refs pending

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

Camil Muscalu

arxiv:1201.3845 v1 · 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{B24ZBHCMP2RR3QQEYP2XYOV2RP}

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	2026-05-18T04:04:17.819345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb9909c4c7ea31dc204c3f57c3aba8bd99b23685ad3cd4e0466bf6f62f8907f

Aliases

arxiv: 1201.3845 · arxiv_version: 1201.3845v1 · doi: 10.48550/arxiv.1201.3845 · pith_short_12: B24ZBHCMP2RR · pith_short_16: B24ZBHCMP2RR3QQE · pith_short_8: B24ZBHCM

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/B24ZBHCMP2RR3QQEYP2XYOV2RP \
  | 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: 0eb9909c4c7ea31dc204c3f57c3aba8bd99b23685ad3cd4e0466bf6f62f8907f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb21cce9ca78c640a685863a60251c367fd446f82debb826de0d4686f1fe5b1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-18T16:49:01Z",
    "title_canon_sha256": "c286a09a7163920e7454caa9c779fe2dc563c0ecb6c134354a1ed0281cd8afc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3845",
    "kind": "arxiv",
    "version": 1
  }
}