Pith Number

pith:3FWTOIL2

pith:2013:3FWTOIL2MWF3UWHNXRIB6L4Q7L

not attested not anchored not stored refs pending

Well-posedness and Ill-posedness for the cubic fractional Schr\"odinger equations

Gyeongha Hwang, Sanghyuk Lee, Soonsik Kwon, Yonggeun Cho

arxiv:1311.0082 v3 · 2013-11-01 · 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{3FWTOIL2MWF3UWHNXRIB6L4Q7L}

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	2026-05-18T02:52:23.402423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d96d37217a658bba58edbc501f2f90faf667dc9d0bd8799aba0aab2b952335a3

Aliases

arxiv: 1311.0082 · arxiv_version: 1311.0082v3 · doi: 10.48550/arxiv.1311.0082 · pith_short_12: 3FWTOIL2MWF3 · pith_short_16: 3FWTOIL2MWF3UWHN · pith_short_8: 3FWTOIL2

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/3FWTOIL2MWF3UWHNXRIB6L4Q7L \
  | 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: d96d37217a658bba58edbc501f2f90faf667dc9d0bd8799aba0aab2b952335a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9030b575638aea7bafb22e02fb1bf8b4715d2908101a4522b9adbdf79bc2fbed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-01T03:30:09Z",
    "title_canon_sha256": "4f881dd6e947fbdb20500cb7b1fa69692f54829ce8121b3b5d830051d2c69be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0082",
    "kind": "arxiv",
    "version": 3
  }
}