Pith Number

pith:45IGEWKF

pith:2017:45IGEWKFTABSOTV6GBMS7OFFF4

not attested not anchored not stored refs pending

Two-weight inequalities for multilinear commutators

Ishwari Kunwar, Yumeng Ou

arxiv:1710.07392 v2 · 2017-10-20 · 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{45IGEWKFTABSOTV6GBMS7OFFF4}

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	2026-05-18T00:31:55.579888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7506259459803274ebe30592fb8a52f1e11a7dcfbe6cd8b62e10399f7b4fe6b

Aliases

arxiv: 1710.07392 · arxiv_version: 1710.07392v2 · doi: 10.48550/arxiv.1710.07392 · pith_short_12: 45IGEWKFTABS · pith_short_16: 45IGEWKFTABSOTV6 · pith_short_8: 45IGEWKF

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/45IGEWKFTABSOTV6GBMS7OFFF4 \
  | 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: e7506259459803274ebe30592fb8a52f1e11a7dcfbe6cd8b62e10399f7b4fe6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de5f432a4274c87fe406a89f1a42ca0f15d5cfdbfa97ba4a987b5fd6b08532a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-20T01:55:46Z",
    "title_canon_sha256": "bca37fa6fe49cc5016941a98379d8b917535da823f43c6ccd39626e432b80579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07392",
    "kind": "arxiv",
    "version": 2
  }
}