Pith Number

pith:6K5YDUHA

pith:2018:6K5YDUHAILADJ73Q3MBEEKPMID

not attested not anchored not stored refs pending

Coupled constitutive relations: a second law based higher order closure for hydrodynamics

Anirudh Singh Rana, Henning Struchtrup, Vinay Kumar Gupta

arxiv:1805.08077 v3 · 2018-05-18 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6K5YDUHAILADJ73Q3MBEEKPMID}

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	2026-05-17T23:39:58.588271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2bb81d0e042c034ff70db024229ec40e8857d9e81016e99e23fee87d5608e72

Aliases

arxiv: 1805.08077 · arxiv_version: 1805.08077v3 · doi: 10.48550/arxiv.1805.08077 · pith_short_12: 6K5YDUHAILAD · pith_short_16: 6K5YDUHAILADJ73Q · pith_short_8: 6K5YDUHA

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/6K5YDUHAILADJ73Q3MBEEKPMID \
  | 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: f2bb81d0e042c034ff70db024229ec40e8857d9e81016e99e23fee87d5608e72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b292c4d9504babdeba35ae35bad083538e9da43b51985799e204f554ba430b14",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2018-05-18T16:50:16Z",
    "title_canon_sha256": "dad372cfd5e1ce9b07ece2e5fc12741acb27a9d399cad36d4e1395bb8e7199b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08077",
    "kind": "arxiv",
    "version": 3
  }
}