Pith Number

pith:Y3UVFHXO

pith:2012:Y3UVFHXOZYAYANTBHKIX6SNOE3

not attested not anchored not stored refs pending

The finite energy method for compressible fluids. The Navier-Stokes-Korteweg model

Philippe G. LeFloch, Pierre Germain

arxiv:1212.5347 v1 · 2012-12-21 · 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{Y3UVFHXOZYAYANTBHKIX6SNOE3}

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	2026-05-18T03:38:02.163021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e9529eeece018036613a917f49ae26eef90f3c6bb7fb8607efb56d12f6903e

Aliases

arxiv: 1212.5347 · arxiv_version: 1212.5347v1 · doi: 10.48550/arxiv.1212.5347 · pith_short_12: Y3UVFHXOZYAY · pith_short_16: Y3UVFHXOZYAYANTB · pith_short_8: Y3UVFHXO

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/Y3UVFHXOZYAYANTBHKIX6SNOE3 \
  | 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: c6e9529eeece018036613a917f49ae26eef90f3c6bb7fb8607efb56d12f6903e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9f35417ba2d19d7380a9dbb67f19f5e919c10dc745d3fcbb9dc5604c2fb917",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-21T07:05:11Z",
    "title_canon_sha256": "58a17bc71fec55eb7ac238fdde3319173d26d4a783b7bd33f65fe448c0a60bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5347",
    "kind": "arxiv",
    "version": 1
  }
}