Pith Number

pith:WXWSOVRO

pith:2024:WXWSOVROV4AYTSTYISI7K6YWZF

not attested not anchored not stored refs pending

Existence, uniqueness and smoothing estimates for spatially homogeneous Landau-Coulomb equation in $H^{-\f12}$ space with polynomial tail

Jie Ji, Ling-Bing He, Yue Luo

arxiv:2412.07287 v4 · 2024-12-10 · 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{WXWSOVROV4AYTSTYISI7K6YWZF}

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.

Cited by

1 paper in Pith

Runaway avalanches in plasmas with external electric fields: spatially inhomogeneous case in a perturbation framework

Receipt and verification

First computed	2026-06-09T01:05:04.357371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ed27562eaf0189ca784491f57b16c975691b4e36574baf28d06f0b489d9046

Aliases

arxiv: 2412.07287 · arxiv_version: 2412.07287v4 · doi: 10.48550/arxiv.2412.07287 · pith_short_12: WXWSOVROV4AY · pith_short_16: WXWSOVROV4AYTSTY · pith_short_8: WXWSOVRO

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/WXWSOVROV4AYTSTYISI7K6YWZF \
  | 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: b5ed27562eaf0189ca784491f57b16c975691b4e36574baf28d06f0b489d9046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a73301bef4bb7dc7d2eb15824d5590d38ddab2d10df3d22866b5a50f80f28c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-10T08:16:49Z",
    "title_canon_sha256": "3250d4f6a61d0e366066c91229c59f99aeb12bf6f8b42da46871ed9934a80a23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07287",
    "kind": "arxiv",
    "version": 4
  }
}