Pith Number

pith:LWLEHGY7

pith:2012:LWLEHGY7QCJJBLX2V6F2OJAXOP

not attested not anchored not stored refs pending

Shock formation in the compressible Euler equations and related systems

Geng Chen, Qingtian Zhang, Robin Young

arxiv:1205.4995 v1 · 2012-05-22 · 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{LWLEHGY7QCJJBLX2V6F2OJAXOP}

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	2026-05-18T03:55:03.151197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d96439b1f809290aefaaf8ba7241773d101460a9488eaa40c0ee06911a19350

Aliases

arxiv: 1205.4995 · arxiv_version: 1205.4995v1 · doi: 10.48550/arxiv.1205.4995 · pith_short_12: LWLEHGY7QCJJ · pith_short_16: LWLEHGY7QCJJBLX2 · pith_short_8: LWLEHGY7

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/LWLEHGY7QCJJBLX2V6F2OJAXOP \
  | 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: 5d96439b1f809290aefaaf8ba7241773d101460a9488eaa40c0ee06911a19350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed59e092f6eac751f9776159c739aabf9ca9cd5d88af88e6ff5991da6ea4cb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-22T17:58:35Z",
    "title_canon_sha256": "b11e9910b1b4dad56eb63e00f8c1fcfeeaeb8b8df3a89cafc28f54064d4a98df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4995",
    "kind": "arxiv",
    "version": 1
  }
}