Pith Number

pith:J7TYSQO4

pith:2010:J7TYSQO44KWTDFFNSM5QUEEIBQ

not attested not anchored not stored refs pending

The Boltzmann equation without angular cutoff in the whole space: II, Global existence for hard potential

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

arxiv:1005.0447 v3 · 2010-05-04 · 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{J7TYSQO44KWTDFFNSM5QUEEIBQ}

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	2026-05-18T04:38:17.070057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe78941dce2ad3194ad933b0a10880c3cb09fd1f51e95a179182dcaa93edab3

Aliases

arxiv: 1005.0447 · arxiv_version: 1005.0447v3 · doi: 10.48550/arxiv.1005.0447 · pith_short_12: J7TYSQO44KWT · pith_short_16: J7TYSQO44KWTDFFN · pith_short_8: J7TYSQO4

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/J7TYSQO44KWTDFFNSM5QUEEIBQ \
  | 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: 4fe78941dce2ad3194ad933b0a10880c3cb09fd1f51e95a179182dcaa93edab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc6d9d6d0e896a60d556cd8c40d04c0de54f3824c049b0fb90a0860e9953846",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-05-04T06:28:43Z",
    "title_canon_sha256": "f9770dea79e6a8039ad38df7232b8316175876144211f56ad72cda744655e478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0447",
    "kind": "arxiv",
    "version": 3
  }
}