Pith Number

pith:GNTUVVZA

pith:2018:GNTUVVZAMAFTDPXLT5K5LPPSR3

not attested not anchored not stored refs pending

Weighted complete continuity for the commutator of Marcinkiewicz integral

Guoen Hu

arxiv:1801.01366 v1 · 2018-01-04 · 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{GNTUVVZAMAFTDPXLT5K5LPPSR3}

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	2026-05-18T00:26:42.341108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33674ad720600b31beeb9f55d5bdf28ee7f4da0a029765dca4298095b0a2454c

Aliases

arxiv: 1801.01366 · arxiv_version: 1801.01366v1 · doi: 10.48550/arxiv.1801.01366 · pith_short_12: GNTUVVZAMAFT · pith_short_16: GNTUVVZAMAFTDPXL · pith_short_8: GNTUVVZA

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/GNTUVVZAMAFTDPXLT5K5LPPSR3 \
  | 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: 33674ad720600b31beeb9f55d5bdf28ee7f4da0a029765dca4298095b0a2454c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255f89df6c3702b9c88da4c0907105bbc518c5d19e31347287d9a11d09c6b74b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-04T14:28:53Z",
    "title_canon_sha256": "28ec1d45a9817cafddc5f61654d56dd97c4755efd2d1df4f754e37902b4a5b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01366",
    "kind": "arxiv",
    "version": 1
  }
}