Pith Number

pith:NM4YDP4J

pith:2022:NM4YDP4J3SRURDSTQSKVA3YYTI

not attested not anchored not stored refs pending

Sharp well-posedness for the Cauchy problem of the two dimensional quadratic nonlinear Schr\"{o}dinger equation with angular regularity

Hiroyuki Hirayama, Mamoru Okamoto, Shinya Kinoshita

arxiv:2209.12176 v1 · 2022-09-25 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NM4YDP4J3SRURDSTQSKVA3YYTI}

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	2026-07-05T05:00:49.669871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b3981bf89dca3488e538495506f189a1a83be396a66192488329d81fad9fd0a

Aliases

arxiv: 2209.12176 · arxiv_version: 2209.12176v1 · doi: 10.48550/arxiv.2209.12176 · pith_short_12: NM4YDP4J3SRU · pith_short_16: NM4YDP4J3SRURDST · pith_short_8: NM4YDP4J

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/NM4YDP4J3SRURDSTQSKVA3YYTI \
  | 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: 6b3981bf89dca3488e538495506f189a1a83be396a66192488329d81fad9fd0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f505b6104702b343905bb41f9d7d78934ac58a3e43f437e0b316720597ee3b81",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-09-25T08:01:38Z",
    "title_canon_sha256": "d443193121644c5b864c7bbb028281d56613da8a63de62b00c757704277d35e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12176",
    "kind": "arxiv",
    "version": 1
  }
}