Pith Number

pith:VILJBXHY

pith:2013:VILJBXHYA5GP2NERU6SMRFBN7F

not attested not anchored not stored refs pending

A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation

Chao-Jiang Xu, Karel Pravda-Starov, Yoshinori Morimoto

arxiv:1301.5566 v1 · 2013-01-23 · math.AP · math-ph · 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{VILJBXHYA5GP2NERU6SMRFBN7F}

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	2026-05-18T03:35:39.400595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1690dcf8074cfd3491a7a4c8942df9655ba1edb86e314e79e66f9090294c10

Aliases

arxiv: 1301.5566 · arxiv_version: 1301.5566v1 · doi: 10.48550/arxiv.1301.5566 · pith_short_12: VILJBXHYA5GP · pith_short_16: VILJBXHYA5GP2NER · pith_short_8: VILJBXHY

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/VILJBXHYA5GP2NERU6SMRFBN7F \
  | 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: aa1690dcf8074cfd3491a7a4c8942df9655ba1edb86e314e79e66f9090294c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d25465f8a2cce07ce196a0b064e8db9b03210f7a276ac3ec4102ca2bfcdf005",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-23T17:04:01Z",
    "title_canon_sha256": "fec2f0b607ee7ac42c400e109eab4044e33faa8e2beedd565f2f1a2b6fc3cfc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5566",
    "kind": "arxiv",
    "version": 1
  }
}