Pith Number

pith:MNAYH3XF

pith:2026:MNAYH3XFKCCLP6H26I33CUFH5K

not attested not anchored not stored refs pending

Nonlinear stability and optimal decay rate of the planar entropy wave for Landau equation

Feimin Huang, Lingda Xu, Renjun Duan, Rui Li

arxiv:2606.14158 v2 · 2026-06-12 · 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{MNAYH3XFKCCLP6H26I33CUFH5K}

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	2026-06-25T01:17:54.860623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634183eee55084b7f8faf237b150a7ea92dd8d28cdf93485fe2e198621060e1e

Aliases

arxiv: 2606.14158 · arxiv_version: 2606.14158v2 · doi: 10.48550/arxiv.2606.14158 · pith_short_12: MNAYH3XFKCCL · pith_short_16: MNAYH3XFKCCLP6H2 · pith_short_8: MNAYH3XF

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/MNAYH3XFKCCLP6H26I33CUFH5K \
  | 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: 634183eee55084b7f8faf237b150a7ea92dd8d28cdf93485fe2e198621060e1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510a5debdfc079026ac782902ccc4e00d2e3f053eb40758ccf405bb13925e80e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-12T06:30:41Z",
    "title_canon_sha256": "6ea67270d377101100dfac6af9cebdd6b7acd9b334ff6b5b720649f615117dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.14158",
    "kind": "arxiv",
    "version": 2
  }
}