Pith Number

pith:JOT4F27E

pith:2018:JOT4F27E55BKQN42KAM66WU5N5

not attested not anchored not stored refs pending

Pointwise convergence of Schr\"odinger solutions and multilinear refined Strichartz estimates

Larry Guth, Ruixiang Zhang, Xiaochun Li, Xiumin Du

arxiv:1803.01720 v2 · 2018-03-02 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOT4F27E55BKQN42KAM66WU5N5}

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	2026-05-18T00:14:21.665913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba7c2ebe4ef42a8379a5019ef5a9d6f6fbbbabe057645c1719aa4003e6d4693

Aliases

arxiv: 1803.01720 · arxiv_version: 1803.01720v2 · doi: 10.48550/arxiv.1803.01720 · pith_short_12: JOT4F27E55BK · pith_short_16: JOT4F27E55BKQN42 · pith_short_8: JOT4F27E

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/JOT4F27E55BKQN42KAM66WU5N5 \
  | 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: 4ba7c2ebe4ef42a8379a5019ef5a9d6f6fbbbabe057645c1719aa4003e6d4693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a15105bf7b8198a9e5133377ff309cd4cd6da47c7a0163177f54b546b2d610",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-02T00:53:51Z",
    "title_canon_sha256": "f05b9e6fd94cce0e4ad94d6866d55397a56d50189e86e9243478806bc5b082eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01720",
    "kind": "arxiv",
    "version": 2
  }
}