Pith Number

pith:CA4IIQSP

pith:2017:CA4IIQSP52IPFCQVNUPRDMR3GH

not attested not anchored not stored refs pending

Entropy-bounded solutions to the compressible Navier-Stokes equations: with far field vacuum

Jinkai Li, Zhouping Xin

arxiv:1710.06571 v1 · 2017-10-18 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CA4IIQSP52IPFCQVNUPRDMR3GH}

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	2026-05-18T00:32:33.346060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

103884424fee90f28a156d1f11b23b31f0fffe3e55070769e689e13c09ac4b10

Aliases

arxiv: 1710.06571 · arxiv_version: 1710.06571v1 · doi: 10.48550/arxiv.1710.06571 · pith_short_12: CA4IIQSP52IP · pith_short_16: CA4IIQSP52IPFCQV · pith_short_8: CA4IIQSP

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/CA4IIQSP52IPFCQVNUPRDMR3GH \
  | 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: 103884424fee90f28a156d1f11b23b31f0fffe3e55070769e689e13c09ac4b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b5ee3687373f8e2f3cdeb42b3bfda76921d3978d07db254fb1baa7503dc9351",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-18T03:12:29Z",
    "title_canon_sha256": "00f72e30143c2a6a205e80ff185416bec3d140ac45545f7c9dc98cc9577d42ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06571",
    "kind": "arxiv",
    "version": 1
  }
}