pith. sign in
Pith Number

pith:RO23ZPF5

pith:2011:RO23ZPF53NH6S72R5KTI467V5Q
not attested not anchored not stored refs pending

Dissipation anomaly and energy cascade in 3D incompressible flows

Radu Dascaliuc, Zoran Gruji\'c

arxiv:1103.4158 v4 · 2011-03-21 · math.AP · math-ph · math.MP · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RO23ZPF53NH6S72R5KTI467V5Q}

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 2026-05-18T04:04:19.074716Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8bb5bcbcbddb4fe97f51eaa68e7bf5ec3d7f24af70e9645bc28649ab5d238f38

Aliases

arxiv: 1103.4158 · arxiv_version: 1103.4158v4 · doi: 10.48550/arxiv.1103.4158 · pith_short_12: RO23ZPF53NH6 · pith_short_16: RO23ZPF53NH6S72R · pith_short_8: RO23ZPF5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RO23ZPF53NH6S72R5KTI467V5Q \
  | 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: 8bb5bcbcbddb4fe97f51eaa68e7bf5ec3d7f24af70e9645bc28649ab5d238f38
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cbbc6e54ecadd6311863290da9c0db0cacd6cfd64aa5e00e4cf5a6879c611a15",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-21T21:22:58Z",
    "title_canon_sha256": "74d2f549b8b37e2f7a014f1871858f1f8effd9a243560bf9d805b068a88759b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4158",
    "kind": "arxiv",
    "version": 4
  }
}