Pith Number

pith:GBTMFYQJ

pith:2017:GBTMFYQJPJGN4ZA6WYHUVSWPNL

not attested not anchored not stored refs pending

Weighted estimates for positive operators and Doob maximal operators on filtered measure spaces

Chunxiang Zhu, Wei Chen, Yahui Zuo, Yong Jiao

arxiv:1708.02066 v2 · 2017-08-04 · math.PR · 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{GBTMFYQJPJGN4ZA6WYHUVSWPNL}

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	2026-05-17T23:49:44.299588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3066c2e2097a4cde641eb60f4acacf6ae78172b24c7a0e25279ef18cf6baa657

Aliases

arxiv: 1708.02066 · arxiv_version: 1708.02066v2 · doi: 10.48550/arxiv.1708.02066 · pith_short_12: GBTMFYQJPJGN · pith_short_16: GBTMFYQJPJGN4ZA6 · pith_short_8: GBTMFYQJ

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/GBTMFYQJPJGN4ZA6WYHUVSWPNL \
  | 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: 3066c2e2097a4cde641eb60f4acacf6ae78172b24c7a0e25279ef18cf6baa657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137dab8a1b9fbec4d3804a0007ae833b99483f6ddd2ca8b71898304c4814fd2f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-04T15:13:47Z",
    "title_canon_sha256": "679d1389f21ab3ef3413e1deeb224b00a8115b48bcb9afad9e4dd4eef1aae136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02066",
    "kind": "arxiv",
    "version": 2
  }
}