Pith Number

pith:3G63R6XP

pith:2025:3G63R6XPB2S2SE6PCZNXAHOZA6

not attested not anchored not stored refs pending

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$

Gonzalo Cao-Labora

arxiv:2502.01818 v1 · 2025-02-03 · 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{3G63R6XPB2S2SE6PCZNXAHOZA6}

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	2026-07-05T10:09:19.732697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9bdb8faef0ea5a913cf165b701dd90793409ce1d682ac5e0d1e5afff76709fc

Aliases

arxiv: 2502.01818 · arxiv_version: 2502.01818v1 · doi: 10.48550/arxiv.2502.01818 · pith_short_12: 3G63R6XPB2S2 · pith_short_16: 3G63R6XPB2S2SE6P · pith_short_8: 3G63R6XP

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/3G63R6XPB2S2SE6PCZNXAHOZA6 \
  | 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: d9bdb8faef0ea5a913cf165b701dd90793409ce1d682ac5e0d1e5afff76709fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581d9a5112a476eef9ce6daca4f5fb25ced65b940f672d3473f41abad45c1a2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-03T20:46:29Z",
    "title_canon_sha256": "ea9c5512e888e6be88d4edea0fa9056a43857c9a1ee9e13f55ea73b27562dd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01818",
    "kind": "arxiv",
    "version": 1
  }
}