Pith Number

pith:KMHA5RBU

pith:2016:KMHA5RBURWIX2FLC4UPEGXRFZC

not attested not anchored not stored refs pending

Global solutions to the isentropic compressible Navier-Stokes equations with a class of large initial data

Daoyuan Fang, Ruizhao Zi, Ting Zhang

arxiv:1608.06447 v1 · 2016-08-23 · 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{KMHA5RBURWIX2FLC4UPEGXRFZC}

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	2026-05-18T01:08:14.016904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530e0ec4348d917d1562e51e435e25c8bef724f73b5f2ba979b053bb5decce1e

Aliases

arxiv: 1608.06447 · arxiv_version: 1608.06447v1 · doi: 10.48550/arxiv.1608.06447 · pith_short_12: KMHA5RBURWIX · pith_short_16: KMHA5RBURWIX2FLC · pith_short_8: KMHA5RBU

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/KMHA5RBURWIX2FLC4UPEGXRFZC \
  | 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: 530e0ec4348d917d1562e51e435e25c8bef724f73b5f2ba979b053bb5decce1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6dd6f1b2c559a00f04a0f5b6e8a843a8c2207a1a741882fa51c4f5d8e1bdef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-23T10:19:41Z",
    "title_canon_sha256": "424bcb1a956c12c11d129295172e071cd7ed1e1fd92710f8fbc33d4b8722053d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06447",
    "kind": "arxiv",
    "version": 1
  }
}