Pith Number

pith:GIUXVA3H

pith:2024:GIUXVA3H32OAYPEXHVI7UG2FUQ

not attested not anchored not stored refs pending

Normalized solutions for a class of Sobolev critical Schrodinger systems

Houwang Li, Tianhao Liu, Wenming Zou

arxiv:2410.15750 v1 · 2024-10-21 · 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{GIUXVA3H32OAYPEXHVI7UG2FUQ}

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

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

Receipt and verification

First computed	2026-07-05T09:23:24.162094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32297a8367de9c0c3c973d51fa1b45a41f30e2a58c2b6465b02a177aef74a48f

Aliases

arxiv: 2410.15750 · arxiv_version: 2410.15750v1 · doi: 10.48550/arxiv.2410.15750 · pith_short_12: GIUXVA3H32OA · pith_short_16: GIUXVA3H32OAYPEX · pith_short_8: GIUXVA3H

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/GIUXVA3H32OAYPEXHVI7UG2FUQ \
  | 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: 32297a8367de9c0c3c973d51fa1b45a41f30e2a58c2b6465b02a177aef74a48f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d145ebad99f2da2c50710b98d9eea22cf719d7535f4cc293c7b3305639e0f7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-21T08:11:00Z",
    "title_canon_sha256": "357e3e4fa6af78bb5d7d17f928bddc4173b3fea0859e80a412f28bf695677af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.15750",
    "kind": "arxiv",
    "version": 1
  }
}