Pith Number

pith:HXNXF7KC

pith:2024:HXNXF7KCLXA3ODVS4FPH2RHFJ7

not attested not anchored not stored refs pending

Global well-posedness, scattering and blow-up for the energy-critical, Schr\"odinger equation with general nonlinearity in the radial case

Jun Wang, Zhaoyang Yin

arxiv:2406.11532 v1 · 2024-06-17 · 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{HXNXF7KCLXA3ODVS4FPH2RHFJ7}

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	2026-07-05T08:32:54.662093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ddb72fd425dc1b70eb2e15e7d44e54ffb8b92f4c68ce46cd0bd7dcb055df535

Aliases

arxiv: 2406.11532 · arxiv_version: 2406.11532v1 · doi: 10.48550/arxiv.2406.11532 · pith_short_12: HXNXF7KCLXA3 · pith_short_16: HXNXF7KCLXA3ODVS · pith_short_8: HXNXF7KC

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/HXNXF7KCLXA3ODVS4FPH2RHFJ7 \
  | 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: 3ddb72fd425dc1b70eb2e15e7d44e54ffb8b92f4c68ce46cd0bd7dcb055df535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6f62335d65929bd8bb0228eb509a120ca2b0126b4cb028f31ab523f817629e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-17T13:36:25Z",
    "title_canon_sha256": "7a531b602ad2c51c1e7b345d14f2a6c32ab10338ae4c7a9a2f193cbe0013817f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.11532",
    "kind": "arxiv",
    "version": 1
  }
}