Pith Number

pith:ENZ2IHZ2

pith:2015:ENZ2IHZ2E7WWYYKDMYNJLP4WVE

not attested not anchored not stored refs pending

Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and applications

Didier Bresch, Jean-Paul Vila, Pascal Noble

arxiv:1504.06882 v1 · 2015-04-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENZ2IHZ2E7WWYYKDMYNJLP4WVE}

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	2026-05-18T02:17:44.163643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2373a41f3a27ed6c6143661a95bf96a91cd78be0fb98f4de0c82586036338ae6

Aliases

arxiv: 1504.06882 · arxiv_version: 1504.06882v1 · doi: 10.48550/arxiv.1504.06882 · pith_short_12: ENZ2IHZ2E7WW · pith_short_16: ENZ2IHZ2E7WWYYKD · pith_short_8: ENZ2IHZ2

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/ENZ2IHZ2E7WWYYKDMYNJLP4WVE \
  | 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: 2373a41f3a27ed6c6143661a95bf96a91cd78be0fb98f4de0c82586036338ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a232deea3a435cd9046e48f29332d8b4ff4aa372d335a7f503f2927c7a8af8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-26T21:08:18Z",
    "title_canon_sha256": "be410defd941811d15f22a28f13398f4a1df1747bcbdf02e5d48418abfc392a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06882",
    "kind": "arxiv",
    "version": 1
  }
}