Pith Number

pith:3A36DMM3

pith:2026:3A36DMM33HV3GNNP4OIRODL3WZ

not attested not anchored not stored refs pending

Complex-valued modified Zakharov Kuznetsov equation

Carlos E. Kenig, Gigliola Staffilani, Luisa Velasco, Nata\v{s}a Pavlovi\'c

arxiv:2605.29265 v1 · 2026-05-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3A36DMM33HV3GNNP4OIRODL3WZ}

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	2026-05-29T01:05:27.998181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d837e1b19bd9ebb335afe391170d7bb643d15eae9451aa72464954993cb02f64

Aliases

arxiv: 2605.29265 · arxiv_version: 2605.29265v1 · doi: 10.48550/arxiv.2605.29265 · pith_short_12: 3A36DMM33HV3 · pith_short_16: 3A36DMM33HV3GNNP · pith_short_8: 3A36DMM3

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/3A36DMM33HV3GNNP4OIRODL3WZ \
  | 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: d837e1b19bd9ebb335afe391170d7bb643d15eae9451aa72464954993cb02f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c94bf47b20d8483fdd3e5104bb9ee37dcfe6ef4444400b6611d61ba6de157df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-28T02:34:13Z",
    "title_canon_sha256": "dd1fac54f5351f58e3e849b3c9969ccdca75dc17ffe0b74cf6454022ee19c840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29265",
    "kind": "arxiv",
    "version": 1
  }
}