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Pith Number

pith:M5A7UV4Y

pith:2016:M5A7UV4YTY3Y65PDTUIBFX6FML
not attested not anchored not stored refs pending

On the origin of intrinsic randomness of Rayleigh-Benard turbulence

Lipo Wang, Shijun Liao, Zhiliang Lin

arxiv:1612.00120 v1 · 2016-12-01 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{M5A7UV4YTY3Y65PDTUIBFX6FML}

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 2026-05-18T00:56:06.791469Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6741fa57989e378f75e39d1012dfc562d4a5f3ffc8ca775087040ba5ed49b6b5

Aliases

arxiv: 1612.00120 · arxiv_version: 1612.00120v1 · doi: 10.48550/arxiv.1612.00120 · pith_short_12: M5A7UV4YTY3Y · pith_short_16: M5A7UV4YTY3Y65PD · pith_short_8: M5A7UV4Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M5A7UV4YTY3Y65PDTUIBFX6FML \
  | 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: 6741fa57989e378f75e39d1012dfc562d4a5f3ffc8ca775087040ba5ed49b6b5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "281bd7ec4b684e9224c2802cab33b0852ffa58b318fe535e0017f872dea82771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-12-01T02:56:47Z",
    "title_canon_sha256": "5787f056e89aef5eb846213b9febca378e5d645b5b9883e9b4cdf01c0259362a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00120",
    "kind": "arxiv",
    "version": 1
  }
}