Pith Number

pith:JQDJBBTK

pith:2014:JQDJBBTKMGNQ3UWHIPMPJFPE7Q

not attested not anchored not stored refs pending

A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows IV: full Boltzmann and Model Equations

Chang Liu, Kun Xu, Qingdong Cai, Quanhua Sun

arxiv:1405.4479 v2 · 2014-05-18 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQDJBBTKMGNQ3UWHIPMPJFPE7Q}

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	2026-05-18T00:27:37.023608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0690866a619b0dd2c743d8f495e4fc24381e02016ff98facc6ce7c35084ce2

Aliases

arxiv: 1405.4479 · arxiv_version: 1405.4479v2 · doi: 10.48550/arxiv.1405.4479 · pith_short_12: JQDJBBTKMGNQ · pith_short_16: JQDJBBTKMGNQ3UWH · pith_short_8: JQDJBBTK

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/JQDJBBTKMGNQ3UWHIPMPJFPE7Q \
  | 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: 4c0690866a619b0dd2c743d8f495e4fc24381e02016ff98facc6ce7c35084ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48771afbab892509a94388b7e0317dfebc7118d61b9a8730b97dd6a60779c9f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-05-18T09:38:18Z",
    "title_canon_sha256": "4d0c48bc6d4ab0929c127cb476d923105f2a680c9ba75f154c9045bb6c99525e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4479",
    "kind": "arxiv",
    "version": 2
  }
}