Pith Number

pith:47DBEHVL

pith:2025:47DBEHVLM2THJP37LDDDZ6KPAT

not attested not anchored not stored refs pending

Global well-posedness and orbital stability of solitary waves for Zakharov-Ito equation

Fan Wu, Feng Shao

arxiv:2506.07053 v4 · 2025-06-08 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47DBEHVLM2THJP37LDDDZ6KPAT}

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	2026-07-05T11:21:48.489483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7c6121eab66a674bf7f58c63cf94f04d03f12afb08ff027c20f31d5362164ef

Aliases

arxiv: 2506.07053 · arxiv_version: 2506.07053v4 · doi: 10.48550/arxiv.2506.07053 · pith_short_12: 47DBEHVLM2TH · pith_short_16: 47DBEHVLM2THJP37 · pith_short_8: 47DBEHVL

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/47DBEHVLM2THJP37LDDDZ6KPAT \
  | 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: e7c6121eab66a674bf7f58c63cf94f04d03f12afb08ff027c20f31d5362164ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300e573c2931b72f9cb8c633bc24cc76c9a865fb5f78ddb0c26a9ed7df6427cd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-08T09:27:55Z",
    "title_canon_sha256": "9eaf23aa3b8ecbb0f9caf249d101e4a61655b0b95fdfa972dcc464cd18852d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07053",
    "kind": "arxiv",
    "version": 4
  }
}