Pith Number

pith:UTCRA6QN

pith:2024:UTCRA6QNXDP5QI3RBGRYKQF6DU

not attested not anchored not stored refs pending

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity

Haibo Chen, He Zhang, Juntao Sun, Shuai Yao

arxiv:2411.17951 v1 · 2024-11-27 · 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{UTCRA6QNXDP5QI3RBGRYKQF6DU}

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.

Cited by

1 paper in Pith

Normalized solutions for fractional Choquard equation with critical growth on bounded domain

Receipt and verification

First computed	2026-07-05T09:41:09.365279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c5107a0db8dfd8237109a38540be1d3a8f2c77f83e215075a6c843fdaf6fe4

Aliases

arxiv: 2411.17951 · arxiv_version: 2411.17951v1 · doi: 10.48550/arxiv.2411.17951 · pith_short_12: UTCRA6QNXDP5 · pith_short_16: UTCRA6QNXDP5QI3R · pith_short_8: UTCRA6QN

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/UTCRA6QNXDP5QI3RBGRYKQF6DU \
  | 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: a4c5107a0db8dfd8237109a38540be1d3a8f2c77f83e215075a6c843fdaf6fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ee768d174ab82be5bd34a1843afe6a35743cc1f89fb0738d138ace43ac14a3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-27T00:18:57Z",
    "title_canon_sha256": "4999bc6ad5adfa1735656062b42fcc152ae010a9772049c3964d2958fbc4ea21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17951",
    "kind": "arxiv",
    "version": 1
  }
}