Pith Number

pith:SHZJQD6H

pith:2026:SHZJQD6HFHBBIQAKSYNPJSBZ2G

not attested not anchored not stored refs pending

Large-data $L^2$-decay for attractive-dissipative nonlinear Schr\"odinger equations without the strong dissipative condition

Hayato Miyazaki, Naoyasu Kita, Takuya Sato

arxiv:2605.15837 v1 · 2026-05-15 · 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{SHZJQD6HFHBBIQAKSYNPJSBZ2G}

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	2026-05-20T00:01:20.988830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91f2980fc729c214400a961af4c839d181f618431ca01460dc8a02ce069a1f41

Aliases

arxiv: 2605.15837 · arxiv_version: 2605.15837v1 · doi: 10.48550/arxiv.2605.15837 · pith_short_12: SHZJQD6HFHBB · pith_short_16: SHZJQD6HFHBBIQAK · pith_short_8: SHZJQD6H

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/SHZJQD6HFHBBIQAKSYNPJSBZ2G \
  | 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: 91f2980fc729c214400a961af4c839d181f618431ca01460dc8a02ce069a1f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa41668bdf0c4bf2be626a76e5c898b01b5f97a49775a2a6d4dd497d3011e987",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-15T10:52:12Z",
    "title_canon_sha256": "8a607f8cfdf2763a1e0bd4f83aa9ad403f16e99f86fa6f388d85aa33e3e5ca15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15837",
    "kind": "arxiv",
    "version": 1
  }
}