Pith Number

pith:LENYYLLU

pith:2010:LENYYLLUFDCQHPUECXXIQYARNX

not attested not anchored not stored refs pending

Boundedness of smooth bilinear square functions and applications to some bilinear pseudo-differential operators

Frederic Bernicot, Saurabh Shrivastava

arxiv:1010.1320 v2 · 2010-10-07 · 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{LENYYLLUFDCQHPUECXXIQYARNX}

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	2026-05-18T04:38:50.212636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591b8c2d7428c503be8415ee8860116de695826dbe76126ea53ed9fab7e8c221

Aliases

arxiv: 1010.1320 · arxiv_version: 1010.1320v2 · doi: 10.48550/arxiv.1010.1320 · pith_short_12: LENYYLLUFDCQ · pith_short_16: LENYYLLUFDCQHPUE · pith_short_8: LENYYLLU

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/LENYYLLUFDCQHPUECXXIQYARNX \
  | 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: 591b8c2d7428c503be8415ee8860116de695826dbe76126ea53ed9fab7e8c221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "145899e7741ce582cc507f5522c1438b7f64f5cf3843294cf5693ce30702fc7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-07T03:57:07Z",
    "title_canon_sha256": "0c847caefacfd3b4222dc29e75bd736f7394202f62a84e5be0903299daca7ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1320",
    "kind": "arxiv",
    "version": 2
  }
}