Pith Number

pith:QWVRIF2C

pith:2018:QWVRIF2CTHNC6NXQTAV2GTRQWD

not attested not anchored not stored refs pending

Weighted Estimates for One Sided Martingale Transforms

Michael T. Lacey, Rui Han, Wei Chen

arxiv:1811.01923 v1 · 2018-11-05 · 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{QWVRIF2CTHNC6NXQTAV2GTRQWD}

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	2026-05-18T00:01:32.936619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85ab14174299da2f36f0982ba34e30b0e7387bdf72638fbd82123fc48886ea10

Aliases

arxiv: 1811.01923 · arxiv_version: 1811.01923v1 · doi: 10.48550/arxiv.1811.01923 · pith_short_12: QWVRIF2CTHNC · pith_short_16: QWVRIF2CTHNC6NXQ · pith_short_8: QWVRIF2C

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/QWVRIF2CTHNC6NXQTAV2GTRQWD \
  | 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: 85ab14174299da2f36f0982ba34e30b0e7387bdf72638fbd82123fc48886ea10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4382964b522c2dfb191916f5666607d63b1c0850f0bdfdb37ea3b567f7045e5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-05T18:57:06Z",
    "title_canon_sha256": "8f11df28ea835991737c50166ee8dda6447346bd5ac55c679cd3e96332a24bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01923",
    "kind": "arxiv",
    "version": 1
  }
}