Pith Number

pith:KGOI6A2I

pith:2025:KGOI6A2ILTGSZM2E2DPQHUTUCI

not attested not anchored not stored refs pending

Miura transformation in bidifferential calculus and a vectorial Darboux transformation for the Fokas-Lenells equation

Folkert M\"uller-Hoissen, Rusuo Ye

arxiv:2504.12822 v2 · 2025-04-17 · nlin.SI · 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{KGOI6A2ILTGSZM2E2DPQHUTUCI}

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	2026-07-05T10:52:22.826571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519c8f03485ccd2cb344d0df03d2741222ac4c3954decd3fe28c31d993265394

Aliases

arxiv: 2504.12822 · arxiv_version: 2504.12822v2 · doi: 10.48550/arxiv.2504.12822 · pith_short_12: KGOI6A2ILTGS · pith_short_16: KGOI6A2ILTGSZM2E · pith_short_8: KGOI6A2I

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/KGOI6A2ILTGSZM2E2DPQHUTUCI \
  | 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: 519c8f03485ccd2cb344d0df03d2741222ac4c3954decd3fe28c31d993265394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5793bbc0c867a6a7f3c9406507de44d13a07b83769abd6a53d5f898e6679bb30",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2025-04-17T10:32:39Z",
    "title_canon_sha256": "a5b2d9e3df1dfbda1bb3431fa441d8ce19b2ac20c8d05d175c7ceb63ed06cdd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12822",
    "kind": "arxiv",
    "version": 2
  }
}