Pith Number

pith:AIJAVEOI

pith:2018:AIJAVEOI6D5EU2C4VLDY4RH7J5

not attested not anchored not stored refs pending

Global Instability of the Multi-dimensional Plane Shocks for the isothermal flow

Ning-An Lai, Wei Xiang, Yi Zhou

arxiv:1807.07386 v2 · 2018-07-19 · 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{AIJAVEOI6D5EU2C4VLDY4RH7J5}

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	2026-05-18T00:10:16.230593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02120a91c8f0fa4a685caac78e44ff4f7c4799d63fdf7f5e507944b1898630c1

Aliases

arxiv: 1807.07386 · arxiv_version: 1807.07386v2 · doi: 10.48550/arxiv.1807.07386 · pith_short_12: AIJAVEOI6D5E · pith_short_16: AIJAVEOI6D5EU2C4 · pith_short_8: AIJAVEOI

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/AIJAVEOI6D5EU2C4VLDY4RH7J5 \
  | 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: 02120a91c8f0fa4a685caac78e44ff4f7c4799d63fdf7f5e507944b1898630c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f5924aca70e13515b0e94e7ff2ee25b161ef092c42e0357c2dcfc74091d088c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-19T13:19:50Z",
    "title_canon_sha256": "6b440aa71027e90e81c3c723f3394d37c4d4bdaf89858d4b10dc55668e05221c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07386",
    "kind": "arxiv",
    "version": 2
  }
}