Pith Number

pith:VY5RZWSB

pith:2013:VY5RZWSBB3S6HG4BKFKCVHHJNB

not attested not anchored not stored refs pending

A Remark on the modified Zakharov-Kuznetsov equation in three space dimensions

Axel Gr\"unrock

arxiv:1302.6380 v1 · 2013-02-26 · 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{VY5RZWSBB3S6HG4BKFKCVHHJNB}

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	2026-05-18T03:32:29.417395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3b1cda410ee5e39b8151542a9ce9685e916d118416912d31092d59437f25fb

Aliases

arxiv: 1302.6380 · arxiv_version: 1302.6380v1 · doi: 10.48550/arxiv.1302.6380 · pith_short_12: VY5RZWSBB3S6 · pith_short_16: VY5RZWSBB3S6HG4B · pith_short_8: VY5RZWSB

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/VY5RZWSBB3S6HG4BKFKCVHHJNB \
  | 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: ae3b1cda410ee5e39b8151542a9ce9685e916d118416912d31092d59437f25fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4cff1a8262aed33f7fa00ed9833ea98e5c41fe8bc65451ec35220da366a734e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-26T10:14:12Z",
    "title_canon_sha256": "3a70b205dc1301b189818bc9e4235098eaa8a6491886d66134b051cc288650f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6380",
    "kind": "arxiv",
    "version": 1
  }
}