Pith Number

pith:4J45WNFH

pith:2026:4J45WNFHJQ2LARXOBUEUXKWOYJ

not attested not anchored not stored refs pending

Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium

Jin-Han Xie, Zi-Ang Zhang

arxiv:2608.05617 v1 · 2026-08-06 · 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{4J45WNFHJQ2LARXOBUEUXKWOYJ}

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	2026-08-07T00:50:18.547725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e279db34a74c34b046ee0d094baacec271a6bd7210ce20eaf3c1f4636439f147

Aliases

arxiv: 2608.05617 · arxiv_version: 2608.05617v1 · doi: 10.48550/arxiv.2608.05617 · pith_short_12: 4J45WNFHJQ2L · pith_short_16: 4J45WNFHJQ2LARXO · pith_short_8: 4J45WNFH

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/4J45WNFHJQ2LARXOBUEUXKWOYJ \
  | 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: e279db34a74c34b046ee0d094baacec271a6bd7210ce20eaf3c1f4636439f147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f739308aaf8bd70c2769e2b3a4224f03ce77512c94096eefefc5c6c3725332f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-08-06T05:29:25Z",
    "title_canon_sha256": "beb134499b0db7b94c3c0175a39a76c35d16b42d00e57aa5d6aaac15a219df93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05617",
    "kind": "arxiv",
    "version": 1
  }
}