Pith Number

pith:FUWN2Z7K

pith:2015:FUWN2Z7KPPJDMQVP7XGL4QPU5O

not attested not anchored not stored refs pending

New bounds for bilinear Calder\'on-Zygmund operators and applications

Kangwei Li, Mahdi Hormozi, Wendol\'in Dami\'an

arxiv:1512.02400 v3 · 2015-12-08 · 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{FUWN2Z7KPPJDMQVP7XGL4QPU5O}

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	2026-05-18T00:06:44.042449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d2cdd67ea7bd23642affdccbe41f4eb8e21c39a6f47f2ced339f8626d67202f

Aliases

arxiv: 1512.02400 · arxiv_version: 1512.02400v3 · doi: 10.48550/arxiv.1512.02400 · pith_short_12: FUWN2Z7KPPJD · pith_short_16: FUWN2Z7KPPJDMQVP · pith_short_8: FUWN2Z7K

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/FUWN2Z7KPPJDMQVP7XGL4QPU5O \
  | 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: 2d2cdd67ea7bd23642affdccbe41f4eb8e21c39a6f47f2ced339f8626d67202f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3bcfb187982a673af6c917514c1ba07274ef9b14f49d63c571ab50c5c742d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-08T11:01:47Z",
    "title_canon_sha256": "a43db990b76b42fd515624a09d787cba2390aa96334309426de89b6c4592433b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02400",
    "kind": "arxiv",
    "version": 3
  }
}