Pith Number

pith:CZ33BWAK

pith:2018:CZ33BWAKKLM4AL2R6AWQB6E3TS

not attested not anchored not stored refs pending

Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off

Hua Chen, Jinpeng Zhan, Wei-Xi Li, Xin Hu

arxiv:1805.12543 v1 · 2018-05-31 · 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{CZ33BWAKKLM4AL2R6AWQB6E3TS}

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	2026-05-18T00:14:29.930223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1677b0d80a52d9c02f51f02d00f89b9c92f2a3a58377f750582a1ec29e4e88d5

Aliases

arxiv: 1805.12543 · arxiv_version: 1805.12543v1 · doi: 10.48550/arxiv.1805.12543 · pith_short_12: CZ33BWAKKLM4 · pith_short_16: CZ33BWAKKLM4AL2R · pith_short_8: CZ33BWAK

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/CZ33BWAKKLM4AL2R6AWQB6E3TS \
  | 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: 1677b0d80a52d9c02f51f02d00f89b9c92f2a3a58377f750582a1ec29e4e88d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f076a35eb12b29340ec09cb47db03d18eebc1acbddaef1a6f72677e7782e030",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-31T16:23:32Z",
    "title_canon_sha256": "b2db84f8bd2717152b93b9af443b154d8ff649e35d291703881b55e45f82a017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12543",
    "kind": "arxiv",
    "version": 1
  }
}