Pith Number

pith:DKSF4GVG

pith:2009:DKSF4GVGHRHODQ4ILYXILX4E27

not attested not anchored not stored refs pending

Regularizing effect and local existence for non-cutoff Boltzmann equation

Chao-Jiang Xu (LMRS), Radjesvarane Alexandre (IRENAV), Seiji Ukai, Tong Yang, Y. Morimoto

arxiv:0909.1229 v2 · 2009-09-07 · 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{DKSF4GVGHRHODQ4ILYXILX4E27}

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	2026-05-18T02:11:59.043237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa45e1aa63c4ee1c3885e2e85df84d7c11e7eb32b6fc931c1ba60bcc9ca2b2f

Aliases

arxiv: 0909.1229 · arxiv_version: 0909.1229v2 · doi: 10.48550/arxiv.0909.1229 · pith_short_12: DKSF4GVGHRHO · pith_short_16: DKSF4GVGHRHODQ4I · pith_short_8: DKSF4GVG

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/DKSF4GVGHRHODQ4ILYXILX4E27 \
  | 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: 1aa45e1aa63c4ee1c3885e2e85df84d7c11e7eb32b6fc931c1ba60bcc9ca2b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a3cc470c62ed0189fdd13aff4d32cc753f86171f422c30730cce7a013a49fd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-09-07T12:02:42Z",
    "title_canon_sha256": "b79f3004806cee4f33f93d4f2f0abd9163ca949013f0644f16f7be66c6268428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1229",
    "kind": "arxiv",
    "version": 2
  }
}