Pith Number

pith:4UFTXBA4

pith:2015:4UFTXBA4I4ZZEJEQU75SH7XFQS

not attested not anchored not stored refs pending

Existence of Global Weak Solutions for 3D Degenerate Compressible Navier-Stokes Equations

Alexis F. Vasseur, Cheng Yu

arxiv:1501.06803 v4 · 2015-01-27 · 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{4UFTXBA4I4ZZEJEQU75SH7XFQS}

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	2026-05-18T00:54:41.767076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50b3b841c4733922490a7fb23fee584889e29a39b3b5d4909c378d18e6689a0

Aliases

arxiv: 1501.06803 · arxiv_version: 1501.06803v4 · doi: 10.48550/arxiv.1501.06803 · pith_short_12: 4UFTXBA4I4ZZ · pith_short_16: 4UFTXBA4I4ZZEJEQ · pith_short_8: 4UFTXBA4

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/4UFTXBA4I4ZZEJEQU75SH7XFQS \
  | 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: e50b3b841c4733922490a7fb23fee584889e29a39b3b5d4909c378d18e6689a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560074b9f60a8ffb48e0a2819e9b9b55dba6de0fa170d2f2e6661cb85bb8b4e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-27T16:11:43Z",
    "title_canon_sha256": "97a2fd900c1c1a4ce73f078ef48ea8a76da157f27ffc5118cdbf86e5d5b3fede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06803",
    "kind": "arxiv",
    "version": 4
  }
}