Pith Number

pith:KUGT6F56

pith:2014:KUGT6F56ZVHXNIRT4KJ7ZZ7J5Q

not attested not anchored not stored refs pending

Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation

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

arxiv:1409.4968 v2 · 2014-09-17 · 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{KUGT6F56ZVHXNIRT4KJ7ZZ7J5Q}

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	2026-05-18T02:20:49.562081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

550d3f17becd4f76a233e293fce7e9ec17a8701d29d1a2962590cbc5328b9755

Aliases

arxiv: 1409.4968 · arxiv_version: 1409.4968v2 · doi: 10.48550/arxiv.1409.4968 · pith_short_12: KUGT6F56ZVHX · pith_short_16: KUGT6F56ZVHXNIRT · pith_short_8: KUGT6F56

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/KUGT6F56ZVHXNIRT4KJ7ZZ7J5Q \
  | 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: 550d3f17becd4f76a233e293fce7e9ec17a8701d29d1a2962590cbc5328b9755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5142a3c852eb660114decf8464444c19403a16273b5d71265d312688939b638",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-17T12:27:21Z",
    "title_canon_sha256": "5909b47c2dd1293853c09bf4735ae4ba503a93e8d0b1359f8324840023a221fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4968",
    "kind": "arxiv",
    "version": 2
  }
}