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Pith Number

pith:5GRUZDSP

pith:2011:5GRUZDSP54FV77VAOWIXPZR3ER
not attested not anchored not stored refs pending

The conservative cascade of kinetic energy in compressible turbulence

Hui Li, Hussein Aluie, Shengtai Li

arxiv:1107.5771 v2 · 2011-07-28 · nlin.CD · astro-ph.SR · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5GRUZDSP54FV77VAOWIXPZR3ER}

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 2026-05-18T02:01:08.171374Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e9a34c8e4fef0b5ffea0759177e63b244988a440d212af539e5e6589b271aa61

Aliases

arxiv: 1107.5771 · arxiv_version: 1107.5771v2 · doi: 10.48550/arxiv.1107.5771 · pith_short_12: 5GRUZDSP54FV · pith_short_16: 5GRUZDSP54FV77VA · pith_short_8: 5GRUZDSP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5GRUZDSP54FV77VAOWIXPZR3ER \
  | 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: e9a34c8e4fef0b5ffea0759177e63b244988a440d212af539e5e6589b271aa61
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "78c6945c242c279e2652a7795ebf1ab94b80cb45d077319dddc7f57296493cf5",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-07-28T17:05:55Z",
    "title_canon_sha256": "957b53879d7d444846656983497c495df12718a2246d8fd02e3fe7060e10a845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5771",
    "kind": "arxiv",
    "version": 2
  }
}