Pith Number

pith:BOIF5B65

pith:2019:BOIF5B655EK6O5ZTHIBT3YX6I5

not attested not anchored not stored refs pending

Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$

Akihiko Miyachi, Naohito Tomita, Tomoya Kato

arxiv:1901.07237 v1 · 2019-01-22 · 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{BOIF5B655EK6O5ZTHIBT3YX6I5}

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	2026-05-17T23:55:47.709839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b905e87dde915e777333a033de2fe476a0a7154dd206b10213c6b17a6ecf19c

Aliases

arxiv: 1901.07237 · arxiv_version: 1901.07237v1 · doi: 10.48550/arxiv.1901.07237 · pith_short_12: BOIF5B655EK6 · pith_short_16: BOIF5B655EK6O5ZT · pith_short_8: BOIF5B65

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/BOIF5B655EK6O5ZTHIBT3YX6I5 \
  | 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: 0b905e87dde915e777333a033de2fe476a0a7154dd206b10213c6b17a6ecf19c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71c6c242fecc25109099b88939f3e726dd2d29656a0737f2b4fe3f6de36bd23f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-22T10:12:44Z",
    "title_canon_sha256": "2cfdd55c50bd9139a45663e9a3d341fc445a90cb8babfc6a14f38564e77feb07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07237",
    "kind": "arxiv",
    "version": 1
  }
}