Pith Number

pith:QD57MUA5

pith:2025:QD57MUA54ZHUOHUCCKM7GFMDFM

not attested not anchored not stored refs pending

Multiple sign-changing and semi-nodal normalized solutions for a Gross-Pitaevskii type system on bounded domain: the $L^2$-supercritical case

Linjie Song, Qiaoran Wu, Tianhao Liu, Wenming Zou

arxiv:2506.22152 v1 · 2025-06-27 · 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{QD57MUA54ZHUOHUCCKM7GFMDFM}

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	2026-07-05T11:28:22.731724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80fbf6501de64f471e821299f315832b2462ac1a8ecee8f25df3b6cda1001318

Aliases

arxiv: 2506.22152 · arxiv_version: 2506.22152v1 · doi: 10.48550/arxiv.2506.22152 · pith_short_12: QD57MUA54ZHU · pith_short_16: QD57MUA54ZHUOHUC · pith_short_8: QD57MUA5

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/QD57MUA54ZHUOHUCCKM7GFMDFM \
  | 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: 80fbf6501de64f471e821299f315832b2462ac1a8ecee8f25df3b6cda1001318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba436155e511f1d7c59c12ff6c72bd6ed6baf6c5713e4b3cae4f4385d2794695",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-27T12:05:27Z",
    "title_canon_sha256": "0ae5429138ee766ab9f45fc8369c52c585524089571da08439d4b70460f52a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22152",
    "kind": "arxiv",
    "version": 1
  }
}