Pith Number

pith:YKCJKSKA

pith:2009:YKCJKSKA2FJB2JO5YKVCZ7KTVZ

not attested not anchored not stored refs pending

Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD

Kevin Zumbrun

arxiv:0902.2153 v1 · 2009-02-12 · 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{YKCJKSKA2FJB2JO5YKVCZ7KTVZ}

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	2026-05-18T02:14:48.125102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c284954940d1521d25ddc2aa2cfd53ae501e59c10da8d4baa3c8a4765c96191b

Aliases

arxiv: 0902.2153 · arxiv_version: 0902.2153v1 · doi: 10.48550/arxiv.0902.2153 · pith_short_12: YKCJKSKA2FJB · pith_short_16: YKCJKSKA2FJB2JO5 · pith_short_8: YKCJKSKA

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/YKCJKSKA2FJB2JO5YKVCZ7KTVZ \
  | 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: c284954940d1521d25ddc2aa2cfd53ae501e59c10da8d4baa3c8a4765c96191b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea111bc0b417d726f018ba219857533a54e2d8f810186f6d7376e641f85354e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-02-12T16:29:13Z",
    "title_canon_sha256": "9f6a71966a78b9e499bc91becae45b50bb931a3d07abae7f7ad759baa23f120e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2153",
    "kind": "arxiv",
    "version": 1
  }
}