Pith Number

pith:ZXPUKEYQ

pith:2020:ZXPUKEYQG2WBDDUMOGTYDD75OI

not attested not anchored not stored refs pending

No vortex in straight flows -- on the eigen-representations of velocity gradient

Changxin Tang, Wennan Zou, Xiangyang Xu, Xiaohang Zhang, Zhiwen Xu

arxiv:2009.09597 v1 · 2020-09-21 · 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{ZXPUKEYQG2WBDDUMOGTYDD75OI}

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	2026-07-05T01:36:42.323472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cddf45131036ac118e8c71a7818ffd720f9d7238481e0746c3dc1e01f1f6f092

Aliases

arxiv: 2009.09597 · arxiv_version: 2009.09597v1 · doi: 10.48550/arxiv.2009.09597 · pith_short_12: ZXPUKEYQG2WB · pith_short_16: ZXPUKEYQG2WBDDUM · pith_short_8: ZXPUKEYQ

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/ZXPUKEYQG2WBDDUMOGTYDD75OI \
  | 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: cddf45131036ac118e8c71a7818ffd720f9d7238481e0746c3dc1e01f1f6f092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b84957606a6cc900f18caf6021863f30c0566a5f1426d81a01b642080e77404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2020-09-21T03:23:31Z",
    "title_canon_sha256": "5c1d5f563e835569b03aaa7accf861584ef7d615778499fd4d9c4ad3cc0a1663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.09597",
    "kind": "arxiv",
    "version": 1
  }
}