Pith Number

pith:2KC3QPFP

pith:2026:2KC3QPFPHRIWGSQ6GNOP2SRTIE

not attested not anchored not stored refs pending

Critical quasi-linear Schr\"{o}dinger system with $p$-Laplacian

Neng cheng, Wei Dai, Zhao Liu

arxiv:2606.10630 v1 · 2026-06-09 · 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{2KC3QPFPHRIWGSQ6GNOP2SRTIE}

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	2026-06-10T01:10:30.732682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d285b83caf3c51634a1e335cfd4a33413c314a8a310f44da72805474122c98f4

Aliases

arxiv: 2606.10630 · arxiv_version: 2606.10630v1 · doi: 10.48550/arxiv.2606.10630 · pith_short_12: 2KC3QPFPHRIW · pith_short_16: 2KC3QPFPHRIWGSQ6 · pith_short_8: 2KC3QPFP

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/2KC3QPFPHRIWGSQ6GNOP2SRTIE \
  | 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: d285b83caf3c51634a1e335cfd4a33413c314a8a310f44da72805474122c98f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42aba07fae5637dfdd8fedf25c384840d5740b8b6328e5c963abb976142796bb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-09T09:33:28Z",
    "title_canon_sha256": "2566dbb209c72ca39b1daed198aa55edb3b30dc0678b8cff02471b2f060e71a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10630",
    "kind": "arxiv",
    "version": 1
  }
}