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Pith Number

pith:M4R66PH2

pith:2013:M4R66PH23EAUP2TH6KYXP54XB5
not attested not anchored not stored refs pending

Scaling of heat flux and energy spectrum for "very large" Prandtl number convection

Ambrish Pandey, Mahendra K. Verma, Pankaj K. Mishra

arxiv:1305.1710 v2 · 2013-05-08 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{M4R66PH23EAUP2TH6KYXP54XB5}

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 2026-05-18T02:59:06.258836Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6723ef3cfad90147ea67f2b177f7970f77b87dab2aecc662f0240ab972379f1e

Aliases

arxiv: 1305.1710 · arxiv_version: 1305.1710v2 · doi: 10.48550/arxiv.1305.1710 · pith_short_12: M4R66PH23EAU · pith_short_16: M4R66PH23EAUP2TH · pith_short_8: M4R66PH2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M4R66PH23EAUP2TH6KYXP54XB5 \
  | 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: 6723ef3cfad90147ea67f2b177f7970f77b87dab2aecc662f0240ab972379f1e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c27bdc14fb1de0ffe5c61e69c59e2f50a1c45ddff42a2a2688964897c47237a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-05-08T03:59:54Z",
    "title_canon_sha256": "a9f94eef82b3e5d79851594ffe10be86661ce281a6ef07e4f218f6005da94498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1710",
    "kind": "arxiv",
    "version": 2
  }
}