Pith Number

pith:4JKOL4SM

pith:2017:4JKOL4SMTEVFSUZY3IWRRQHEA3

not attested not anchored not stored refs pending

Smoothing effects and decay estimate of the solution of the linearized two species Landau equation

Haitao Wang, Kung-Chien Wu, Yu-Chu Lin

arxiv:1706.07558 v2 · 2017-06-23 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JKOL4SMTEVFSUZY3IWRRQHEA3}

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	2026-05-18T00:35:41.076366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e254e5f24c992a595338da2d18c0e406fe3bc36c943d51b2044c320294f3398e

Aliases

arxiv: 1706.07558 · arxiv_version: 1706.07558v2 · doi: 10.48550/arxiv.1706.07558 · pith_short_12: 4JKOL4SMTEVF · pith_short_16: 4JKOL4SMTEVFSUZY · pith_short_8: 4JKOL4SM

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/4JKOL4SMTEVFSUZY3IWRRQHEA3 \
  | 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: e254e5f24c992a595338da2d18c0e406fe3bc36c943d51b2044c320294f3398e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e38ad95d5fed9c3625372e18aefebf5de2036565a2019a13ae109e438b19e00",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-23T03:47:50Z",
    "title_canon_sha256": "177f3c576f5e365959180549f165965f97a0bbc172a4e13639899279a48c3d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07558",
    "kind": "arxiv",
    "version": 2
  }
}