Pith Number

pith:A7VOA7NJ

pith:2020:A7VOA7NJOBVE22MQWRGZV6YDK4

not attested not anchored not stored refs pending

Multiplier theorems via martingale transforms

Fabrice Baudoin, Li Chen, Rodrigo Ba\~nuelos, Yannick Sire

arxiv:2003.02077 v2 · 2020-03-04 · math.PR · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7VOA7NJOBVE22MQWRGZV6YDK4}

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	2026-07-05T02:56:35.841708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07eae07da9706a4d6990b44d9afb03573263fc0d7ae8c91b7e8a19dc2603f928

Aliases

arxiv: 2003.02077 · arxiv_version: 2003.02077v2 · doi: 10.48550/arxiv.2003.02077 · pith_short_12: A7VOA7NJOBVE · pith_short_16: A7VOA7NJOBVE22MQ · pith_short_8: A7VOA7NJ

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/A7VOA7NJOBVE22MQWRGZV6YDK4 \
  | 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: 07eae07da9706a4d6990b44d9afb03573263fc0d7ae8c91b7e8a19dc2603f928

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524a531412a0d76b2ab759402ca71b9976adbcd5d2d17e854bfa33a02956dc74",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-03-04T13:41:39Z",
    "title_canon_sha256": "a0364500bd3e916c2bddcb6993a05943e35c9d42b1cb688e7c8677fbecd86b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.02077",
    "kind": "arxiv",
    "version": 2
  }
}