Pith Number

pith:NPDFVYBN

pith:2018:NPDFVYBNIONAVFLP77CBUX5LWW

not attested not anchored not stored refs pending

Asymptotic stability of a composite wave for the one-dimensional compressible micropolar fluid model without viscosity

Liyun Zheng, Sina Zhang, Zhengzheng Chen

arxiv:1806.03617 v1 · 2018-06-10 · 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{NPDFVYBNIONAVFLP77CBUX5LWW}

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	2026-05-18T00:13:42.719718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bc65ae02d439a0a956fffc41a5fabb58b7e5e59facae9de46f23d148b51db96

Aliases

arxiv: 1806.03617 · arxiv_version: 1806.03617v1 · doi: 10.48550/arxiv.1806.03617 · pith_short_12: NPDFVYBNIONA · pith_short_16: NPDFVYBNIONAVFLP · pith_short_8: NPDFVYBN

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/NPDFVYBNIONAVFLP77CBUX5LWW \
  | 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: 6bc65ae02d439a0a956fffc41a5fabb58b7e5e59facae9de46f23d148b51db96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "108e521c7f927570a5dd153fbbf1ce6a9ed13e6e91dc717ce5c7024647ecaf84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-10T09:22:53Z",
    "title_canon_sha256": "74858d48157b452fe8e6cf69a4fde9b69609bfdf9007b48ffb47c951bf910f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03617",
    "kind": "arxiv",
    "version": 1
  }
}