Pith Number

pith:3TTKJNLO

pith:2021:3TTKJNLOK2MAPJEEF3T4LY2NZF

not attested not anchored not stored refs pending

Unified gas-kinetic wave-particle methods VI: Disperse dilute gas-particle multiphase flow

Chang Liu, Kun Xu, Wei Shyy, Xiaojian Yang, Xing Ji

arxiv:2107.05075 v1 · 2021-07-11 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TTKJNLOK2MAPJEEF3T4LY2NZF}

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	2026-07-05T04:03:48.886884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce6a4b56e569807a4842ee7c5e34dc94640ade4dabb85ce85b2daf4dc5e6441

Aliases

arxiv: 2107.05075 · arxiv_version: 2107.05075v1 · doi: 10.48550/arxiv.2107.05075 · pith_short_12: 3TTKJNLOK2MA · pith_short_16: 3TTKJNLOK2MAPJEE · pith_short_8: 3TTKJNLO

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/3TTKJNLOK2MAPJEEF3T4LY2NZF \
  | 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: dce6a4b56e569807a4842ee7c5e34dc94640ade4dabb85ce85b2daf4dc5e6441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69038e8639bbf94dd3c9a706070f0c940acbe2cddfeae40fd385e981197dc93a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2021-07-11T15:54:02Z",
    "title_canon_sha256": "b333a5925ef69248eee3768a10e2247cd464ee358045a46ca5443ce7effd71cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05075",
    "kind": "arxiv",
    "version": 1
  }
}