Pith Number

pith:FUJQBFBZ

pith:2019:FUJQBFBZBXR3YLS72R5UKRAHGK

not attested not anchored not stored refs pending

Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations

Chao Wang, Guilong Gui, Yuxi Wang

arxiv:1905.09456 v1 · 2019-05-23 · 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{FUJQBFBZBXR3YLS72R5UKRAHGK}

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	2026-05-17T23:45:16.970453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d130094390de3bc2e5fd47b454407329631524d82b9154dbd76a9b03a02fff4

Aliases

arxiv: 1905.09456 · arxiv_version: 1905.09456v1 · doi: 10.48550/arxiv.1905.09456 · pith_short_12: FUJQBFBZBXR3 · pith_short_16: FUJQBFBZBXR3YLS7 · pith_short_8: FUJQBFBZ

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/FUJQBFBZBXR3YLS72R5UKRAHGK \
  | 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: 2d130094390de3bc2e5fd47b454407329631524d82b9154dbd76a9b03a02fff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb78790309ad30062828d42b6548a81f0315b2b03fda48273148f67fa55e5d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-23T04:11:05Z",
    "title_canon_sha256": "ab7e06e5bb1013c45eacd2d67ba475d1f0ae380c8d7974dfd8eaf25764c329c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09456",
    "kind": "arxiv",
    "version": 1
  }
}