Pith Number

pith:2DO2OBXN

pith:2018:2DO2OBXNGP2XQK4HXUFPNZGCAD

not attested not anchored not stored refs pending

On nonlinear Schr\"odinger equations with repulsive inverse-power potentials

Van Duong Dinh

arxiv:1812.08405 v1 · 2018-12-20 · 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{2DO2OBXNGP2XQK4HXUFPNZGCAD}

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	2026-05-17T23:57:51.338750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0dda706ed33f5782b87bd0af6e4c200f2d8ca8c4102ad424d2ea1ae56afc511

Aliases

arxiv: 1812.08405 · arxiv_version: 1812.08405v1 · doi: 10.48550/arxiv.1812.08405 · pith_short_12: 2DO2OBXNGP2X · pith_short_16: 2DO2OBXNGP2XQK4H · pith_short_8: 2DO2OBXN

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/2DO2OBXNGP2XQK4HXUFPNZGCAD \
  | 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: d0dda706ed33f5782b87bd0af6e4c200f2d8ca8c4102ad424d2ea1ae56afc511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9eaa212c42c378d7f446b45e13bc6ce01c39a58e155a39cc4aedda9d1641a9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-20T08:01:05Z",
    "title_canon_sha256": "8d39d748a07afec68d8457fbfd6e5aefc039812fa1870f9872f5a6bccb497c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08405",
    "kind": "arxiv",
    "version": 1
  }
}