Pith Number

pith:RISTG2SM

pith:2025:RISTG2SM5WLFSONIAVQIK372AQ

not attested not anchored not stored refs pending

Ground state and multiple normalized solutions of quasilinear Schr\"odinger equations in the $L^2$-supercritical case and the Sobolev critical case

Qiang Gao, Xiaoyan Zhang

arxiv:2504.11785 v1 · 2025-04-16 · 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{RISTG2SM5WLFSONIAVQIK372AQ}

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	2026-07-05T10:49:57.582387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a25336a4ced965939a80560856ffa043f57d8612dfa2d0cf325b4d00514f2ee

Aliases

arxiv: 2504.11785 · arxiv_version: 2504.11785v1 · doi: 10.48550/arxiv.2504.11785 · pith_short_12: RISTG2SM5WLF · pith_short_16: RISTG2SM5WLFSONI · pith_short_8: RISTG2SM

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/RISTG2SM5WLFSONIAVQIK372AQ \
  | 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: 8a25336a4ced965939a80560856ffa043f57d8612dfa2d0cf325b4d00514f2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "467f9ac49c2bf449dfb8a785d36e806b5d625fec2e07773bd37774aceb5ec752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-16T05:37:28Z",
    "title_canon_sha256": "c60d36d3e38485a9093ddd2f5b6efa52fa7db916eaec9ec421f34343cd2db2d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.11785",
    "kind": "arxiv",
    "version": 1
  }
}