Pith Number

pith:7NLD7P6B

pith:2015:7NLD7P6BXQSESNHJ6BZBOCQWHC

not attested not anchored not stored refs pending

$A_p$-$A_\infty$ estimates for general multilinear sparse operators

Kangwei Li, Mahdi Hormozi

arxiv:1508.06105 v3 · 2015-08-25 · 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{7NLD7P6BXQSESNHJ6BZBOCQWHC}

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	2026-05-18T01:24:43.565697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb563fbfc1bc244934e9f072170a16388b92b2b0c2fcc66bc5339c1a56c03fc7

Aliases

arxiv: 1508.06105 · arxiv_version: 1508.06105v3 · doi: 10.48550/arxiv.1508.06105 · pith_short_12: 7NLD7P6BXQSE · pith_short_16: 7NLD7P6BXQSESNHJ · pith_short_8: 7NLD7P6B

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/7NLD7P6BXQSESNHJ6BZBOCQWHC \
  | 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: fb563fbfc1bc244934e9f072170a16388b92b2b0c2fcc66bc5339c1a56c03fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bebf98342aa7e136fdff93009cfd2877c3308e0a6be3c48d845865e565971c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-25T11:17:30Z",
    "title_canon_sha256": "762910f485a8dd706f7ee7b190bc19b5c9b36ec1837d96cf11f9cfe1f273996e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06105",
    "kind": "arxiv",
    "version": 3
  }
}