Pith Number

pith:VV75G4FC

pith:2018:VV75G4FCC42K3YGWS3IKOUH2AP

not attested not anchored not stored refs pending

Physical meaning of vorticity based on the RS decomposition and an explicit formula for the Liutex vector

Chaoqun Liu, Yiqian Wang, Yisheng Gao

arxiv:1812.10672 v1 · 2018-12-27 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VV75G4FCC42K3YGWS3IKOUH2AP}

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	2026-05-17T23:57:20.314503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad7fd370a21734ade0d696d0a750fa03ff920bbfa243bdd2bb64e0970e72d8ae

Aliases

arxiv: 1812.10672 · arxiv_version: 1812.10672v1 · doi: 10.48550/arxiv.1812.10672 · pith_short_12: VV75G4FCC42K · pith_short_16: VV75G4FCC42K3YGW · pith_short_8: VV75G4FC

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/VV75G4FCC42K3YGWS3IKOUH2AP \
  | 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: ad7fd370a21734ade0d696d0a750fa03ff920bbfa243bdd2bb64e0970e72d8ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cde85c58fc7a65e763dfce35ece743a26e8729252685254c6c3b5726eea9431",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2018-12-27T09:31:43Z",
    "title_canon_sha256": "cec099ef065bdecabdc27c4f4c3b95926e45ef71c97444d155ad79698a47bb16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10672",
    "kind": "arxiv",
    "version": 1
  }
}