Pith Number

pith:VZ43ZRLA

pith:2013:VZ43ZRLAGL5DLTYP3FC2N7QZSO

not attested not anchored not stored refs pending

A note on weak convergence of singular integrals in metric spaces

Mariusz Urba\'nski, Vasilis Chousionis

arxiv:1304.3873 v2 · 2013-04-14 · 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{VZ43ZRLAGL5DLTYP3FC2N7QZSO}

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	2026-05-18T01:02:21.459256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae79bcc56032fa35cf0fd945a6fe199390f63a4b5928aee5a831c623403ea479

Aliases

arxiv: 1304.3873 · arxiv_version: 1304.3873v2 · doi: 10.48550/arxiv.1304.3873 · pith_short_12: VZ43ZRLAGL5D · pith_short_16: VZ43ZRLAGL5DLTYP · pith_short_8: VZ43ZRLA

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/VZ43ZRLAGL5DLTYP3FC2N7QZSO \
  | 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: ae79bcc56032fa35cf0fd945a6fe199390f63a4b5928aee5a831c623403ea479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84559dd41cb01fb33f2f496b2a0d29f34200a4e2a474db02be92047020949b07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-14T02:59:09Z",
    "title_canon_sha256": "2ff2c5935d045e20e34c563f0ed311005b0d94f2893fd64d423057a42ccc20f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3873",
    "kind": "arxiv",
    "version": 2
  }
}