pith. sign in
Pith Number

pith:266P3ZX3

pith:2016:266P3ZX32LWXW7IEYKFXGTTSW4
not attested not anchored not stored refs pending

Helical turbulent Prandtl number in the $A$ model of passive advection: Two loop approximation

Michal Hnati\v{c}, Peter Zalom

arxiv:1605.08713 v1 · 2016-05-05 · cond-mat.stat-mech · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{266P3ZX32LWXW7IEYKFXGTTSW4}

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 2026-05-18T00:54:36.372155Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d7bcfde6fbd2ed7b7d04c28b734e72b715bcaceaff31c4c2a4774000bbf4250f

Aliases

arxiv: 1605.08713 · arxiv_version: 1605.08713v1 · doi: 10.48550/arxiv.1605.08713 · pith_short_12: 266P3ZX32LWX · pith_short_16: 266P3ZX32LWXW7IE · pith_short_8: 266P3ZX3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/266P3ZX32LWXW7IEYKFXGTTSW4 \
  | 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: d7bcfde6fbd2ed7b7d04c28b734e72b715bcaceaff31c4c2a4774000bbf4250f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "17aa29c33aee56d18b18f387226543f3ec92456c3ed25594b9add52b498019e5",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-05-05T10:45:51Z",
    "title_canon_sha256": "07f19f0bf60344eabc92f8388eeac783a278eb142f53a357f30caf95e6d15a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08713",
    "kind": "arxiv",
    "version": 1
  }
}