Pith Number

pith:2MGBHT2E

pith:2007:2MGBHT2EJFF3WNWZBXSQ6NNPLK

not attested not anchored not stored refs pending

Estimates for the maximal singular integral in terms of the singular integral:the case of even kernels

Joan Mateu, Joan Orobitg, Joan Verdera

arxiv:0707.4610 v2 · 2007-07-31 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MGBHT2EJFF3WNWZBXSQ6NNPLK}

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	2026-05-18T03:51:25.931075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30c13cf44494bbb36d90de50f35af5aafc1ecabf94d236da1f0a6c4003922b0

Aliases

arxiv: 0707.4610 · arxiv_version: 0707.4610v2 · doi: 10.48550/arxiv.0707.4610 · pith_short_12: 2MGBHT2EJFF3 · pith_short_16: 2MGBHT2EJFF3WNWZ · pith_short_8: 2MGBHT2E

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/2MGBHT2EJFF3WNWZBXSQ6NNPLK \
  | 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: d30c13cf44494bbb36d90de50f35af5aafc1ecabf94d236da1f0a6c4003922b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f17396558efa55e45c311060622d3a90bb805ddf69a5304300c469ed377c500",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2007-07-31T13:25:36Z",
    "title_canon_sha256": "b63a59512ab9b3d523a5d4b2f3da5ff440bf3b253fc558eb190d0f1aa4eda92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4610",
    "kind": "arxiv",
    "version": 2
  }
}