Pith Number

pith:5GVYALIL

pith:2019:5GVYALILOU5H4J3WO4CE5RMLAC

not attested not anchored not stored refs pending

A Liutex based definition of vortex axis line

Chaoqun Liu, Jian-ming Liu, Yi-fei Yu, Yi-sheng Gao

arxiv:1904.10094 v1 · 2019-04-22 · 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{5GVYALILOU5H4J3WO4CE5RMLAC}

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	2026-05-17T23:47:55.138173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9ab802d0b753a7e277677044ec58b0091b0a698bb1e0b12cc43f7768021ba0f

Aliases

arxiv: 1904.10094 · arxiv_version: 1904.10094v1 · doi: 10.48550/arxiv.1904.10094 · pith_short_12: 5GVYALILOU5H · pith_short_16: 5GVYALILOU5H4J3W · pith_short_8: 5GVYALIL

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/5GVYALILOU5H4J3WO4CE5RMLAC \
  | 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: e9ab802d0b753a7e277677044ec58b0091b0a698bb1e0b12cc43f7768021ba0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3811f33c463086287e510c4a64bcbc745aaeb2f6a6f9a6722fcc7a33882131a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2019-04-22T23:52:34Z",
    "title_canon_sha256": "4a877a1841c73182349ce4b6135b39e7b861d86b3bddd40965a659e6d07b57b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10094",
    "kind": "arxiv",
    "version": 1
  }
}