Pith Number

pith:YTVC2UFQ

pith:2016:YTVC2UFQSEFZH2QBVL5EKOS52J

not attested not anchored not stored refs pending

Multidimensional stability of large-amplitude Navier-Stokes shocks

Gregory Lyng, Jeffrey Humpherys, Kevin Zumbrun

arxiv:1603.03955 v1 · 2016-03-12 · 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{YTVC2UFQSEFZH2QBVL5EKOS52J}

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	2026-05-18T00:39:03.040731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ea2d50b0910b93ea01aafa453a5dd25539631dffde7722b8d23a94a97619ad

Aliases

arxiv: 1603.03955 · arxiv_version: 1603.03955v1 · doi: 10.48550/arxiv.1603.03955 · pith_short_12: YTVC2UFQSEFZ · pith_short_16: YTVC2UFQSEFZH2QB · pith_short_8: YTVC2UFQ

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/YTVC2UFQSEFZH2QBVL5EKOS52J \
  | 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: c4ea2d50b0910b93ea01aafa453a5dd25539631dffde7722b8d23a94a97619ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5c0ff0a5754c47e3b3a1121ce8145ff019e80257cd40f225ff02b24b8a9e13f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-12T18:32:10Z",
    "title_canon_sha256": "f75d357eca09c770a0a93251712337081e56f6443a88cc6b1b0ee66fe07be826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03955",
    "kind": "arxiv",
    "version": 1
  }
}