Pith Number

pith:ZBVRF5YL

pith:2018:ZBVRF5YL3S4DNB2352YTM6AFFH

not attested not anchored not stored refs pending

Stability of planar rarefaction wave to 3D full compressible Navier-Stokes equations

Linan Li, Teng Wang, Yi Wang

arxiv:1801.05706 v2 · 2018-01-17 · 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{ZBVRF5YL3S4DNB2352YTM6AFFH}

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	2026-05-17T23:55:38.857066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86b12f70bdcb836875beeb136780529f8f2293943001b70516d4b9b9405dc70

Aliases

arxiv: 1801.05706 · arxiv_version: 1801.05706v2 · doi: 10.48550/arxiv.1801.05706 · pith_short_12: ZBVRF5YL3S4D · pith_short_16: ZBVRF5YL3S4DNB23 · pith_short_8: ZBVRF5YL

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/ZBVRF5YL3S4DNB2352YTM6AFFH \
  | 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: c86b12f70bdcb836875beeb136780529f8f2293943001b70516d4b9b9405dc70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a168bf673160793262522512741d51b8c1e247e7c2658adf4cf0f2951b5a4c8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-17T15:11:29Z",
    "title_canon_sha256": "bafc987d4e12f14f7e99c8acd63fa008ba79933fd704b8de022f8fa581eb385f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05706",
    "kind": "arxiv",
    "version": 2
  }
}