Pith Number

pith:VCB7TBAU

pith:2011:VCB7TBAUXNXVLCZCUED4P3LTG5

not attested not anchored not stored refs pending

Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs

Albert Mas, Xavier Tolsa

arxiv:1101.1734 v2 · 2011-01-10 · 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{VCB7TBAUXNXVLCZCUED4P3LTG5}

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	2026-05-18T02:58:01.288628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a883f98414bb6f558b22a107c7ed733758040b9a14d03844eff5f9eee0d3496c

Aliases

arxiv: 1101.1734 · arxiv_version: 1101.1734v2 · doi: 10.48550/arxiv.1101.1734 · pith_short_12: VCB7TBAUXNXV · pith_short_16: VCB7TBAUXNXVLCZC · pith_short_8: VCB7TBAU

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/VCB7TBAUXNXVLCZCUED4P3LTG5 \
  | 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: a883f98414bb6f558b22a107c7ed733758040b9a14d03844eff5f9eee0d3496c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc94a7c1ea5efea1d868bd28e5f5ec381d271506b32ba3d67bfec1658ca7bc46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-01-10T08:54:14Z",
    "title_canon_sha256": "7cef89e145b5ef62ca4eca9c2cd7ef4eae1af93cdeaca1a828f6b4d77ce1bea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1734",
    "kind": "arxiv",
    "version": 2
  }
}