Pith Number

pith:Z4KHWDOV

pith:2017:Z4KHWDOVK4NVIHDBX6AOFYRTLV

not attested not anchored not stored refs pending

A Definition of Vortex Vector and Vortex

Chaoqun Liu, Shuling Tian, Xiangrui Dong, Yisheng Gao

arxiv:1712.03887 v1 · 2017-12-11 · 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{Z4KHWDOVK4NVIHDBX6AOFYRTLV}

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	2026-05-18T00:09:19.059004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf147b0dd5571b541c61bf80e2e2335d4e2c7accf1be606c17a70a05b722bf8e

Aliases

arxiv: 1712.03887 · arxiv_version: 1712.03887v1 · doi: 10.48550/arxiv.1712.03887 · pith_short_12: Z4KHWDOVK4NV · pith_short_16: Z4KHWDOVK4NVIHDB · pith_short_8: Z4KHWDOV

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/Z4KHWDOVK4NVIHDBX6AOFYRTLV \
  | 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: cf147b0dd5571b541c61bf80e2e2335d4e2c7accf1be606c17a70a05b722bf8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e1af7e69c558dc8fc36178b041f747d428ce01fdd55e72fb89bf373ea68472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2017-12-11T16:54:00Z",
    "title_canon_sha256": "9f543aeef79b9bed7080affb2eeb1530fc2eab147b6f83f195e15528c0c9c27d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03887",
    "kind": "arxiv",
    "version": 1
  }
}