Pith Number

pith:Q557E5P7

pith:2018:Q557E5P72FACMZ3RRMYH6OPVSF

not attested not anchored not stored refs pending

A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows VI: Dilute Disperse Gas-Particle Multiphase System

Chang Liu, Kun Xu, Zhao Wang

arxiv:1802.04961 v2 · 2018-02-14 · physics.comp-ph · 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{Q557E5P72FACMZ3RRMYH6OPVSF}

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	2026-05-17T23:47:31.465521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

877bf275ffd1402667718b307f39f59146fbefc80d76fc9b3122f48d5b3b0130

Aliases

arxiv: 1802.04961 · arxiv_version: 1802.04961v2 · doi: 10.48550/arxiv.1802.04961 · pith_short_12: Q557E5P72FAC · pith_short_16: Q557E5P72FACMZ3R · pith_short_8: Q557E5P7

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/Q557E5P72FACMZ3RRMYH6OPVSF \
  | 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: 877bf275ffd1402667718b307f39f59146fbefc80d76fc9b3122f48d5b3b0130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "092bc790db7d1031d473c61540cc53ad25fc7f67737adad99e11527dd0542ed7",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2018-02-14T05:33:32Z",
    "title_canon_sha256": "36c8dc09b3f0ae4124b73e8772d5a7d2b6c2cad0740c772ddf34eef5360078c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04961",
    "kind": "arxiv",
    "version": 2
  }
}