Pith Number

pith:3U3EI6RR

pith:2019:3U3EI6RRNMY7ME5TYRD6RTIR3A

not attested not anchored not stored refs pending

Blowup solutions for the nonlinear Schr\"odinger equation with complex coefficient

Shota Kawakami, Shuji Machihara

arxiv:1905.13037 v1 · 2019-05-30 · 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{3U3EI6RRNMY7ME5TYRD6RTIR3A}

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	2026-05-17T23:44:39.086229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd36447a316b31f613b3c447e8cd11d80f371844b384b793c24ce73c85298542

Aliases

arxiv: 1905.13037 · arxiv_version: 1905.13037v1 · doi: 10.48550/arxiv.1905.13037 · pith_short_12: 3U3EI6RRNMY7 · pith_short_16: 3U3EI6RRNMY7ME5T · pith_short_8: 3U3EI6RR

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/3U3EI6RRNMY7ME5TYRD6RTIR3A \
  | 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: dd36447a316b31f613b3c447e8cd11d80f371844b384b793c24ce73c85298542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa5dcffc4c102ec26fb2e44461659cd4564ee09c714ed17dfa3c798d41a9bfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-30T13:17:12Z",
    "title_canon_sha256": "88b49107c4bfc6034a3a2ff210e57c4778b1f713d16a33b4b908294589fbfeff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13037",
    "kind": "arxiv",
    "version": 1
  }
}