Pith Number

pith:PZVINXTZ

pith:2012:PZVINXTZXEETTEMXZSVBXP5ZYH

not attested not anchored not stored refs pending

Statistics of the Navier-Stokes-alpha-beta regularization model for fluid turbulence

Denis F. Hinz, Eliot Fried, Tae-Yeon Kim

arxiv:1210.7045 v3 · 2012-10-26 · 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{PZVINXTZXEETTEMXZSVBXP5ZYH}

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	2026-05-18T02:45:21.724578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6a86de79b909399197ccaa1bbfb9c1dcd6faaf76abaae3e06958b0b8ed3743

Aliases

arxiv: 1210.7045 · arxiv_version: 1210.7045v3 · doi: 10.48550/arxiv.1210.7045 · pith_short_12: PZVINXTZXEET · pith_short_16: PZVINXTZXEETTEMX · pith_short_8: PZVINXTZ

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/PZVINXTZXEETTEMXZSVBXP5ZYH \
  | 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: 7e6a86de79b909399197ccaa1bbfb9c1dcd6faaf76abaae3e06958b0b8ed3743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3db8d02077330d4cd83ee8d45c1c3fc1112d4a9341b06cf0ae6696d8755318",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-10-26T03:00:47Z",
    "title_canon_sha256": "e7a97d6e789ae382dc1d945ba035a3fa79aecdb729951160c34fd8f6c88d2435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7045",
    "kind": "arxiv",
    "version": 3
  }
}