Pith Number

pith:L75PRSQT

pith:2020:L75PRSQTPDE6NPAEGZDCLYHYJD

not attested not anchored not stored refs pending

Liutex-based Modified Navier-Stokes Equation

Chaoqun Liu, Jianming Liu, Yifei Yu, Yiqian Wang, Yisheng Gao, Yonghua Yan

arxiv:2008.06784 v1 · 2020-08-15 · 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{L75PRSQTPDE6NPAEGZDCLYHYJD}

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	2026-07-05T01:27:32.571441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ffaf8ca1378c9e6bc04364625e0f848e692876523961aea560c4ffe1276fdf4

Aliases

arxiv: 2008.06784 · arxiv_version: 2008.06784v1 · doi: 10.48550/arxiv.2008.06784 · pith_short_12: L75PRSQTPDE6 · pith_short_16: L75PRSQTPDE6NPAE · pith_short_8: L75PRSQT

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/L75PRSQTPDE6NPAEGZDCLYHYJD \
  | 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: 5ffaf8ca1378c9e6bc04364625e0f848e692876523961aea560c4ffe1276fdf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "280868cc0d5ed7ac395ecb61740f1bb1520aed302f5253ae8476edfe10291156",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2020-08-15T20:51:16Z",
    "title_canon_sha256": "8ad399ebdafef1b2d2e4fa4f1958b11da3174c4208fe9edd9e4ec91dd83bb3ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.06784",
    "kind": "arxiv",
    "version": 1
  }
}