Pith Number

pith:4CBN66OF

pith:2026:4CBN66OFJO2A6EIL3BHDM7LV4K

not attested not anchored not stored refs pending

Spectral property for the 2D Zakharov-Kuznetsov equation

Justin Holmer, Svetlana Roudenko

arxiv:2605.27341 v1 · 2026-05-26 · 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{4CBN66OFJO2A6EIL3BHDM7LV4K}

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	2026-05-27T02:06:18.901350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e082df79c54bb40f110bd84e367d75e2b12cad94ab59335249f1b4e880b4e606

Aliases

arxiv: 2605.27341 · arxiv_version: 2605.27341v1 · doi: 10.48550/arxiv.2605.27341 · pith_short_12: 4CBN66OFJO2A · pith_short_16: 4CBN66OFJO2A6EIL · pith_short_8: 4CBN66OF

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/4CBN66OFJO2A6EIL3BHDM7LV4K \
  | 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: e082df79c54bb40f110bd84e367d75e2b12cad94ab59335249f1b4e880b4e606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef5ee8f640cbf5d292754ecbea5f99f29d3b2c1de15ff69d1973775294d2d06",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-26T17:45:25Z",
    "title_canon_sha256": "dd922e6cd9b092a5190b2e0566e36a130ed2475030faacbbb3b5edc6b4b4caa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27341",
    "kind": "arxiv",
    "version": 1
  }
}