Pith Number

pith:MFWHOOP2

pith:2025:MFWHOOP2OO5GDC62GD4H35NOV3

not attested not anchored not stored refs pending

Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies

Marianna Euler, Norbert Euler

arxiv:2506.07780 v1 · 2025-06-09 · 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{MFWHOOP2OO5GDC62GD4H35NOV3}

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	2026-07-05T11:18:33.259217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

616c7739fa73ba618bda30f87df5aeaec2c65bb9ab971b279d773bb78fc9fdd0

Aliases

arxiv: 2506.07780 · arxiv_version: 2506.07780v1 · doi: 10.48550/arxiv.2506.07780 · pith_short_12: MFWHOOP2OO5G · pith_short_16: MFWHOOP2OO5GDC62 · pith_short_8: MFWHOOP2

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/MFWHOOP2OO5GDC62GD4H35NOV3 \
  | 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: 616c7739fa73ba618bda30f87df5aeaec2c65bb9ab971b279d773bb78fc9fdd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d340a3e8d49c3ea20fe820811c73c02cc24f54ca63c3598e39732cf0fd0a4e9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2025-06-09T13:57:32Z",
    "title_canon_sha256": "08597830ac00443ea6a93cac9f6e06e83b9ad58077c62759223b89d90433d5f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07780",
    "kind": "arxiv",
    "version": 1
  }
}