Pith Number

pith:P4VPIZIM

pith:2013:P4VPIZIM5CRZAIFZ23RGFDXR3Q

not attested not anchored not stored refs pending

A stability condition for turbulence model: From EMMS model to EMMS-based turbulence model

Jinghai Li, Limin Wang, Lin Zhang, Xiaoping Qiu

arxiv:1311.1272 v1 · 2013-11-06 · 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{P4VPIZIM5CRZAIFZ23RGFDXR3Q}

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	2026-05-18T02:49:28.721345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2af4650ce8a39020b9d6e2628ef1dc2a17837e3eddc9ad25ba3e6c98dd75e0

Aliases

arxiv: 1311.1272 · arxiv_version: 1311.1272v1 · doi: 10.48550/arxiv.1311.1272 · pith_short_12: P4VPIZIM5CRZ · pith_short_16: P4VPIZIM5CRZAIFZ · pith_short_8: P4VPIZIM

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/P4VPIZIM5CRZAIFZ23RGFDXR3Q \
  | 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: 7f2af4650ce8a39020b9d6e2628ef1dc2a17837e3eddc9ad25ba3e6c98dd75e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c968491acd37a16809dc54763486cc55d6c70f1205da7247f09f8d28d9dda6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-11-06T02:19:31Z",
    "title_canon_sha256": "82ef7fd29e635dfb3cbfb646510612b647502e3b0ef848fa102163427f60c250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1272",
    "kind": "arxiv",
    "version": 1
  }
}