Pith Number

pith:25OORAX4

pith:2014:25OORAX4JFUSKUBWPHWXWTSEZB

not attested not anchored not stored refs pending

Global well - posedness and scattering for the focusing, energy - critical nonlinear Schr\"odinger problem in dimension $d = 4$ for initial data below a ground state threshold

Benjamin Dodson

arxiv:1409.1950 v1 · 2014-09-05 · math.AP

Open paper page JSON What is a Pith Number?

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

Receipt and verification

First computed	2026-05-18T02:43:18.359777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d75ce882fc496925503679ed7b4e44c85340fd9b71fceaa2e544a05c4ddc1a03

Aliases

arxiv: 1409.1950 · arxiv_version: 1409.1950v1 · doi: 10.48550/arxiv.1409.1950 · pith_short_12: 25OORAX4JFUS · pith_short_16: 25OORAX4JFUSKUBW · pith_short_8: 25OORAX4

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/25OORAX4JFUSKUBWPHWXWTSEZB \
  | 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: d75ce882fc496925503679ed7b4e44c85340fd9b71fceaa2e544a05c4ddc1a03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830490720b432c718b9ea7f517bf2f58c8d8dff22dcafe87d8c9cfc6a66b753a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-05T21:26:13Z",
    "title_canon_sha256": "150dc26a567019bfe9136b8aec09a36fe4fa84c96b4b01f9c1b2d0073092e52f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1950",
    "kind": "arxiv",
    "version": 1
  }
}