Pith Number

pith:LOCCG2ZG

pith:2016:LOCCG2ZGESILZNNA7KLPVHHRVQ

not attested not anchored not stored refs pending

Well-posedness of nolinear fractional Schr\"odinger and wave equations in Sobolev spaces

Van Duong Dinh

arxiv:1609.06181 v3 · 2016-09-20 · 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{LOCCG2ZGESILZNNA7KLPVHHRVQ}

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	2026-05-18T00:55:35.666790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b84236b262490bcb5a0fa96fa9cf1ac16a19c6079aa1a4eb2df10417d9cd7b6

Aliases

arxiv: 1609.06181 · arxiv_version: 1609.06181v3 · doi: 10.48550/arxiv.1609.06181 · pith_short_12: LOCCG2ZGESIL · pith_short_16: LOCCG2ZGESILZNNA · pith_short_8: LOCCG2ZG

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/LOCCG2ZGESILZNNA7KLPVHHRVQ \
  | 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: 5b84236b262490bcb5a0fa96fa9cf1ac16a19c6079aa1a4eb2df10417d9cd7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50aa92676f43993990a8ef6b4d11c9db67958883fc757798b6201d176443b0e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-20T13:58:20Z",
    "title_canon_sha256": "1c33e9199866ef3ba8006bcb088ccd819c0b8164c5bc9083fa18f9fe4ca29a7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06181",
    "kind": "arxiv",
    "version": 3
  }
}