Pith Number

pith:QESH6LJL

pith:2025:QESH6LJLMUADZWODS3IQRSLYVT

not attested not anchored not stored refs pending

Stability of 2-soliton solutions for the modified Camassa-Holm equation with cubic nonlinearity

St\'ephane Lafortune, Xijun Deng, Zhisu Liu

arxiv:2506.07791 v3 · 2025-06-09 · math.AP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QESH6LJLMUADZWODS3IQRSLYVT}

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	2026-07-05T12:02:02.636210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81247f2d2b65003cd9c396d108c978acd27865e23b745ee2ef251cccde3c30c9

Aliases

arxiv: 2506.07791 · arxiv_version: 2506.07791v3 · doi: 10.48550/arxiv.2506.07791 · pith_short_12: QESH6LJLMUAD · pith_short_16: QESH6LJLMUADZWOD · pith_short_8: QESH6LJL

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/QESH6LJLMUADZWODS3IQRSLYVT \
  | 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: 81247f2d2b65003cd9c396d108c978acd27865e23b745ee2ef251cccde3c30c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1634ae22b3b3f86bf5859de59f063ef2e30241008389cc5783764a67b987ea",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-09T14:13:48Z",
    "title_canon_sha256": "6a9e9cbed9de794c892672205095bfc7b654bc069cd666d1ad550eb0a7a80d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07791",
    "kind": "arxiv",
    "version": 3
  }
}