Pith Number

pith:575AUZZW

pith:2019:575AUZZWSDLAKHL5KUTMHCV7V2

not attested not anchored not stored refs pending

Global well-posedness of cubic fractional Schr\"odinger equations in one dimension

Huali Zhang, Shiliang Zhao

arxiv:1911.01199 v1 · 2019-11-04 · 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{575AUZZWSDLAKHL5KUTMHCV7V2}

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	2026-07-05T00:16:46.791178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

effa0a673690d6051d7d5526c38abfae87bdcf56f1a3ef7a4fa6f33c126cdb05

Aliases

arxiv: 1911.01199 · arxiv_version: 1911.01199v1 · doi: 10.48550/arxiv.1911.01199 · pith_short_12: 575AUZZWSDLA · pith_short_16: 575AUZZWSDLAKHL5 · pith_short_8: 575AUZZW

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/575AUZZWSDLAKHL5KUTMHCV7V2 \
  | 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: effa0a673690d6051d7d5526c38abfae87bdcf56f1a3ef7a4fa6f33c126cdb05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fbd8798c3a58ac426215441bcaacdf180ebf90f72885a0f1e06cfbff8d5844d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-04T13:34:14Z",
    "title_canon_sha256": "ce972721adb5f179b7870b44c92dcbccffeb46bcecb9885eddf0f7aa9c74755a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.01199",
    "kind": "arxiv",
    "version": 1
  }
}