Pith Number

pith:6KKLSGT6

pith:2017:6KKLSGT6M7OWDXZRO6GMIHIYGD

not attested not anchored not stored refs pending

A free energy Lagrangian variational formulation of the Navier-Stokes-Fourier system

Fran\c{c}ois Gay-Balmaz, Hiroaki Yoshimura

arxiv:1706.09010 v1 · 2017-06-26 · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KKLSGT6M7OWDXZRO6GMIHIYGD}

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.

Cited by

1 paper in Pith

Emergence of Thermoacoustic Waves: A Variational Approach Consistent with Thermodynamics and the Navier-Stokes Problem

Receipt and verification

First computed	2026-05-18T00:41:20.121569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f294b91a7e67dd61df31778cc41d1830c6339a4ee82b56b1a4b1168231ea4eed

Aliases

arxiv: 1706.09010 · arxiv_version: 1706.09010v1 · doi: 10.48550/arxiv.1706.09010 · pith_short_12: 6KKLSGT6M7OW · pith_short_16: 6KKLSGT6M7OWDXZR · pith_short_8: 6KKLSGT6

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/6KKLSGT6M7OWDXZRO6GMIHIYGD \
  | 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: f294b91a7e67dd61df31778cc41d1830c6339a4ee82b56b1a4b1168231ea4eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea9f5169ab9b64596cd835f6b672d0521c52b5cc7a88d2ab3b3fc461343a9ca8",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-26T10:14:01Z",
    "title_canon_sha256": "afe1ffdec1321889e3d52360195f834949e20d408fbdbf617d01c07c378aa137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09010",
    "kind": "arxiv",
    "version": 1
  }
}