Pith Number

pith:OZU2W7GA

pith:2010:OZU2W7GAOXWN2YOBPPMEUQJKIU

not attested not anchored not stored refs pending

An Efficient NRxx Method for Boltzmann-BGK Equation

Ruo Li, Yanli Wang, Zhenning Cai

arxiv:1011.5789 v2 · 2010-11-26 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZU2W7GAOXWN2YOBPPMEUQJKIU}

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	2026-05-18T04:34:36.579305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7669ab7cc075ecdd61c17bd84a412a452b470db3f767c1ba382b7811d25ffde8

Aliases

arxiv: 1011.5789 · arxiv_version: 1011.5789v2 · doi: 10.48550/arxiv.1011.5789 · pith_short_12: OZU2W7GAOXWN · pith_short_16: OZU2W7GAOXWN2YOB · pith_short_8: OZU2W7GA

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/OZU2W7GAOXWN2YOBPPMEUQJKIU \
  | 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: 7669ab7cc075ecdd61c17bd84a412a452b470db3f767c1ba382b7811d25ffde8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a038b64dfc8899143d7f3a5ca1ce6adb8e4e496a96d285e505ab6a029bde5fc4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-26T14:04:20Z",
    "title_canon_sha256": "3031c3f720901e31376cc1f8f8d289ee35b1ce453f1070c14e5a9bdde9344a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5789",
    "kind": "arxiv",
    "version": 2
  }
}