Pith Number

pith:GOYYTQGN

pith:2018:GOYYTQGNRHSR33AT3TAAVJFPJT

not attested not anchored not stored refs pending

Multiparameter singular integrals on the Heisenberg group: uniform estimates

James Wright, Marco Vitturi

arxiv:1808.10368 v1 · 2018-08-30 · 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{GOYYTQGNRHSR33AT3TAAVJFPJT}

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	2026-05-18T00:06:49.009055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33b189c0cd89e51dec13dcc00aa4af4cf43a1950f09323e6d7ad995c2f5d8b43

Aliases

arxiv: 1808.10368 · arxiv_version: 1808.10368v1 · doi: 10.48550/arxiv.1808.10368 · pith_short_12: GOYYTQGNRHSR · pith_short_16: GOYYTQGNRHSR33AT · pith_short_8: GOYYTQGN

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/GOYYTQGNRHSR33AT3TAAVJFPJT \
  | 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: 33b189c0cd89e51dec13dcc00aa4af4cf43a1950f09323e6d7ad995c2f5d8b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4dfae66054d3342526d51805150c0464dd16d8eaad212199cfd184195f0a41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-08-30T15:54:32Z",
    "title_canon_sha256": "34f28f08e7637c7cdd2ebd7b53cd4376aa51c9ad8c8d4c9554c2d8567be6e53f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10368",
    "kind": "arxiv",
    "version": 1
  }
}