Pith Number

pith:MF3QF7ZQ

pith:2010:MF3QF7ZQXVJMPGT4M53BIB7LWT

not attested not anchored not stored refs pending

Marcinkiewicz--Zygmund measures on manifolds

F. Filbir, H. N. Mhaskar

arxiv:1006.5123 v2 · 2010-06-26 · 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{MF3QF7ZQXVJMPGT4M53BIB7LWT}

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	2026-05-18T04:34:47.948001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617702ff30bd52c79a7c67761407ebb4cb047c74987dc3f597d59f12e9fd8802

Aliases

arxiv: 1006.5123 · arxiv_version: 1006.5123v2 · doi: 10.48550/arxiv.1006.5123 · pith_short_12: MF3QF7ZQXVJM · pith_short_16: MF3QF7ZQXVJMPGT4 · pith_short_8: MF3QF7ZQ

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/MF3QF7ZQXVJMPGT4M53BIB7LWT \
  | 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: 617702ff30bd52c79a7c67761407ebb4cb047c74987dc3f597d59f12e9fd8802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d79cee1eb4947da2184f866f6de444d23b73988fa928aae02b4379ae66ae042f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-06-26T09:00:12Z",
    "title_canon_sha256": "ad914716ecee94df401c7af594a66a7860449a283a2c5ba20c9fc3a20262b7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5123",
    "kind": "arxiv",
    "version": 2
  }
}