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Pith Number

pith:5WBGZ6OX

pith:2010:5WBGZ6OXHYJQVLHANIQ265UK7M
not attested not anchored not stored refs pending

Soliton solutions for coupled Schrodinger systems with sign-changing potential

Chungen Liu, Youquan Zheng

arxiv:1011.5280 v1 · 2010-11-24 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5WBGZ6OXHYJQVLHANIQ265UK7M}

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 2026-05-18T04:34:47.671203Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ed826cf9d73e130aace06a21af768afb0d67aff73e736286caf7650a2bfd66ab

Aliases

arxiv: 1011.5280 · arxiv_version: 1011.5280v1 · doi: 10.48550/arxiv.1011.5280 · pith_short_12: 5WBGZ6OXHYJQ · pith_short_16: 5WBGZ6OXHYJQVLHA · pith_short_8: 5WBGZ6OX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5WBGZ6OXHYJQVLHANIQ265UK7M \
  | 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: ed826cf9d73e130aace06a21af768afb0d67aff73e736286caf7650a2bfd66ab
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "58aed5a82cad25582eae0deff185fd5154501ef4362ce28188ca332da84cc62b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-24T03:17:32Z",
    "title_canon_sha256": "dad919279c6be2e54cfa5623d02158ddba48f292ca31393eccd820d6bcfc7a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5280",
    "kind": "arxiv",
    "version": 1
  }
}