Pith Number

pith:NS6HQ2LP

pith:2018:NS6HQ2LP2H4UVHFHQ243OOPWNM

not attested not anchored not stored refs pending

Regularity of Boltzmann equation with external fields in convex domains of diffuse reflection

Yunbai Cao

arxiv:1812.09388 v2 · 2018-12-21 · 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{NS6HQ2LP2H4UVHFHQ243OOPWNM}

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	2026-05-17T23:44:29.687379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cbc78696fd1f94a9ca786b9b739f66b3df253581e7bd0f99c286bcc107c643e

Aliases

arxiv: 1812.09388 · arxiv_version: 1812.09388v2 · doi: 10.48550/arxiv.1812.09388 · pith_short_12: NS6HQ2LP2H4U · pith_short_16: NS6HQ2LP2H4UVHFH · pith_short_8: NS6HQ2LP

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/NS6HQ2LP2H4UVHFHQ243OOPWNM \
  | 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: 6cbc78696fd1f94a9ca786b9b739f66b3df253581e7bd0f99c286bcc107c643e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906af021e7c6cd8a3a50c2e0a8ce9c6ab9a057eb5a1db35ca3adccac54b008dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-21T22:01:05Z",
    "title_canon_sha256": "1cb074394594bc78036d1dd55c0cbf240f78ba49229943cb86ced5dcf0fa1735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09388",
    "kind": "arxiv",
    "version": 2
  }
}