Pith Number

pith:YT4J65ZK

pith:2015:YT4J65ZKGD7RS3F2S36Z45D4YR

not attested not anchored not stored refs pending

Random data Cauchy theory for the fourth order nonlinear Schr\"{o}dinger equation with cubic nonlinearity

Hiroyuki Hirayama, Mamoru Okamoto

arxiv:1505.06497 v1 · 2015-05-24 · 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{YT4J65ZKGD7RS3F2S36Z45D4YR}

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	2026-05-18T02:03:44.842398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f89f772a30ff196cba96fd9e747cc45a0b9e0bd66af6b33fbe9af38f7a3a4f

Aliases

arxiv: 1505.06497 · arxiv_version: 1505.06497v1 · doi: 10.48550/arxiv.1505.06497 · pith_short_12: YT4J65ZKGD7R · pith_short_16: YT4J65ZKGD7RS3F2 · pith_short_8: YT4J65ZK

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/YT4J65ZKGD7RS3F2S36Z45D4YR \
  | 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: c4f89f772a30ff196cba96fd9e747cc45a0b9e0bd66af6b33fbe9af38f7a3a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b004362693416e67ad8bbc0eb55dea13d8279d8d90202be13b57403f8e35cb7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-24T23:05:28Z",
    "title_canon_sha256": "bebfa0892ec433ea43da742b84740c602fa901b88ffa2cf0abd70ba523f013fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06497",
    "kind": "arxiv",
    "version": 1
  }
}