Pith Number

pith:F2UMTZMY

pith:2017:F2UMTZMYTL4PTDJVCVW2CU4GT5

not attested not anchored not stored refs pending

Global well-posedness and scattering for mass-critical, defocusing, infinite dimensional vector-valued resonant nonlinear Schr\"odinger system

Kailong Yang, Lifeng Zhao

arxiv:1704.08976 v1 · 2017-04-28 · 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{F2UMTZMYTL4PTDJVCVW2CU4GT5}

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	2026-05-18T00:45:24.774014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea8c9e5989af8f98d35156da153869f474e3e7b6ff2eb1e2697bccbf71dfb59

Aliases

arxiv: 1704.08976 · arxiv_version: 1704.08976v1 · doi: 10.48550/arxiv.1704.08976 · pith_short_12: F2UMTZMYTL4P · pith_short_16: F2UMTZMYTL4PTDJV · pith_short_8: F2UMTZMY

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/F2UMTZMYTL4PTDJVCVW2CU4GT5 \
  | 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: 2ea8c9e5989af8f98d35156da153869f474e3e7b6ff2eb1e2697bccbf71dfb59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f675af1302a5aa660564d959137db4ef0581be17a1044b219719135fbfb974",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-28T15:26:49Z",
    "title_canon_sha256": "faec068f1ff849f113b08a291e19cd8db5b3d7edd5fcd5bc584cbd1a3d23da17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08976",
    "kind": "arxiv",
    "version": 1
  }
}