Pith Number

pith:X7LEJERW

pith:2026:X7LEJERWMVM4BG7QUORSQZNQLN

not attested not anchored not stored refs pending

On the global well-posedness for the nonlocal Fokas-Lenells equation with the weighted Sobolev initial data on the line

Guancheng Zhu, Guoqiang Zhang, Zhenya Yan

arxiv:2607.19649 v1 · 2026-07-22 · nlin.SI · math-ph · math.AP · math.MP · physics.optics · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7LEJERWMVM4BG7QUORSQZNQLN}

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	2026-07-23T00:24:01.789556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfd64492366559c09bf0a3a32865b05b5c2e6cff10cea81e3e06ef95e6322e69

Aliases

arxiv: 2607.19649 · arxiv_version: 2607.19649v1 · doi: 10.48550/arxiv.2607.19649 · pith_short_12: X7LEJERWMVM4 · pith_short_16: X7LEJERWMVM4BG7Q · pith_short_8: X7LEJERW

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/X7LEJERWMVM4BG7QUORSQZNQLN \
  | 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: bfd64492366559c09bf0a3a32865b05b5c2e6cff10cea81e3e06ef95e6322e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316b2e3f2e6c15d2fa7bfb9b187fe1bea25bd90754310e28ce99334073333641",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2026-07-22T01:15:11Z",
    "title_canon_sha256": "723b10cb65ebe58e9eb8559066da0fb055575f9236750e870b43fad42b1e3a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19649",
    "kind": "arxiv",
    "version": 1
  }
}