Pith Number

pith:HFP5MYVJ

pith:2017:HFP5MYVJ6ZNKBYEV7CKQWLLPOO

not attested not anchored not stored refs pending

Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system

Alexis Vasseur, Moon-Jin Kang

arxiv:1712.07348 v2 · 2017-12-20 · 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{HFP5MYVJ6ZNKBYEV7CKQWLLPOO}

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

Inviscid limit to the shock waves for the fractal Burgers equation

Receipt and verification

First computed	2026-05-17T23:56:34.265755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395fd662a9f65aa0e095f8950b2d6f73847ad4289984d9d06185cf39915135b5

Aliases

arxiv: 1712.07348 · arxiv_version: 1712.07348v2 · doi: 10.48550/arxiv.1712.07348 · pith_short_12: HFP5MYVJ6ZNK · pith_short_16: HFP5MYVJ6ZNKBYEV · pith_short_8: HFP5MYVJ

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/HFP5MYVJ6ZNKBYEV7CKQWLLPOO \
  | 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: 395fd662a9f65aa0e095f8950b2d6f73847ad4289984d9d06185cf39915135b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c38f400376748b05fa160daa8e1e9155366bcb62b09ed7bc09d3c4ff346f4895",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-20T07:41:37Z",
    "title_canon_sha256": "72d81a5e87c2699add14bc9f5eee7d192ba739568ec0b502b6d4c649f315d6ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07348",
    "kind": "arxiv",
    "version": 2
  }
}