Pith Number

pith:RNN52ENG

pith:2017:RNN52ENGCMCP6H6UZ6YOBANHH6

not attested not anchored not stored refs pending

Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$

M. M. Kostenko, N. M. Gulitskiy, N. V. Antonov, T. Lu\v{c}ivjansk\'y

arxiv:1710.03648 v1 · 2017-10-10 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNN52ENGCMCP6H6UZ6YOBANHH6}

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	2026-05-18T00:27:52.121296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5bdd11a61304ff1fd4cfb0e081a73f89c20cd297e68492957fbcc4d396cad0

Aliases

arxiv: 1710.03648 · arxiv_version: 1710.03648v1 · doi: 10.48550/arxiv.1710.03648 · pith_short_12: RNN52ENGCMCP · pith_short_16: RNN52ENGCMCP6H6U · pith_short_8: RNN52ENG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RNN52ENGCMCP6H6UZ6YOBANHH6 \
  | 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: 8b5bdd11a61304ff1fd4cfb0e081a73f89c20cd297e68492957fbcc4d396cad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb2c3be182d92fec41f069d9fe4118d110404b4afe1ac3fb8565fb6589d7028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-10-10T15:16:57Z",
    "title_canon_sha256": "f534b25d22eb5edb4fc360de1dd285dbb876c739f0b4bc5a1ce95c5c33ea07c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03648",
    "kind": "arxiv",
    "version": 1
  }
}