Pith Number

pith:PQCRTPRO

pith:2009:PQCRTPROINW6OTYHWNPZTFQL4M

not attested not anchored not stored refs pending

Global existence and full regularity of the Boltzmann equation without angular cutoff

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

arxiv:0912.1426 v3 · 2009-12-08 · 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{PQCRTPROINW6OTYHWNPZTFQL4M}

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	2026-05-18T04:38:17.275770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c0519be2e436de74f07b35f99960be31e911fb9a05619173b233142bc6e5c6a

Aliases

arxiv: 0912.1426 · arxiv_version: 0912.1426v3 · doi: 10.48550/arxiv.0912.1426 · pith_short_12: PQCRTPROINW6 · pith_short_16: PQCRTPROINW6OTYH · pith_short_8: PQCRTPRO

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/PQCRTPROINW6OTYHWNPZTFQL4M \
  | 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: 7c0519be2e436de74f07b35f99960be31e911fb9a05619173b233142bc6e5c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8203713a935bf2eb9dca5d3f9b94a7a3f9c73f0f6bbb67b7ba7d5672caed07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-12-08T07:37:00Z",
    "title_canon_sha256": "e4b9d2f7939813fb495b81f85b4023847d48d68bf806c6a5a1aa3f52b0e58fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1426",
    "kind": "arxiv",
    "version": 3
  }
}