Pith Number

pith:5LWSQBUX

pith:2018:5LWSQBUX3OHDZEBT7PI6GUPSB7

not attested not anchored not stored refs pending

On instability of radial standing waves for the nonlinear Schr\"odinger equation with inverse-square potential

Van Duong Dinh

arxiv:1806.01068 v2 · 2018-06-04 · 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{5LWSQBUX3OHDZEBT7PI6GUPSB7}

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	2026-05-18T00:05:09.178369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaed280697db8e3c9033fbd1e351f20ff7c00ce06de0382c7cd47d7aca76af45

Aliases

arxiv: 1806.01068 · arxiv_version: 1806.01068v2 · doi: 10.48550/arxiv.1806.01068 · pith_short_12: 5LWSQBUX3OHD · pith_short_16: 5LWSQBUX3OHDZEBT · pith_short_8: 5LWSQBUX

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/5LWSQBUX3OHDZEBT7PI6GUPSB7 \
  | 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: eaed280697db8e3c9033fbd1e351f20ff7c00ce06de0382c7cd47d7aca76af45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aca2b73931df0354833c8eaa5c93cd3e334cd53cb2d5ab9c5801609ad7346648",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-04T12:18:28Z",
    "title_canon_sha256": "8d2c8e9bd47f258140d0714a2e79472d748ca2816acaac403c946fbc2f1af0b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01068",
    "kind": "arxiv",
    "version": 2
  }
}