Pith Number

pith:E5CJEWNJ

pith:2024:E5CJEWNJR2PF7QDS7F4SDHUQRC

not attested not anchored not stored refs pending

Blow-Up Dynamics for the $L^2$ critical case of the $2$D Zakharov-Kuznetsov equation

Francisc Bozgan, Kai Yang, Nader Masmoudi, Tej-Eddine Ghoul

arxiv:2406.06568 v2 · 2024-06-03 · 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{E5CJEWNJR2PF7QDS7F4SDHUQRC}

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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.

Cited by

1 paper in Pith

On the minimal Blow-up rate for the 2D generalized Zakharov- Kuznetsov model

Receipt and verification

First computed	2026-07-05T09:39:55.340960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27449259a98e9e5fc072f979219e9088a29c2460d991d3d3abc0e786b866d2b1

Aliases

arxiv: 2406.06568 · arxiv_version: 2406.06568v2 · doi: 10.48550/arxiv.2406.06568 · pith_short_12: E5CJEWNJR2PF · pith_short_16: E5CJEWNJR2PF7QDS · pith_short_8: E5CJEWNJ

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/E5CJEWNJR2PF7QDS7F4SDHUQRC \
  | 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: 27449259a98e9e5fc072f979219e9088a29c2460d991d3d3abc0e786b866d2b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba7e82d1c1bf98fab5520c91c4adb702a09c7416d89839a0925980d26cf3012",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-03T15:29:14Z",
    "title_canon_sha256": "3b72374ddb642bdca8c889ab76d192dc4e16974fe3312791a859d0acd173d040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.06568",
    "kind": "arxiv",
    "version": 2
  }
}