Pith Number

pith:QR6ZLXQN

pith:2018:QR6ZLXQNJIY5CKXFBL3CDV3CRS

not attested not anchored not stored refs pending

Cartesian currents in fractional Sobolev spaces and applications to functions of bounded higher variation

Chuanxi Wu, Qiang Tu

arxiv:1804.00788 v1 · 2018-04-03 · 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{QR6ZLXQNJIY5CKXFBL3CDV3CRS}

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	2026-05-18T00:19:32.149514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847d95de0d4a31d12ae50af621d7628cbaa80bd684cbdf77a1a9a3f89cba2bd2

Aliases

arxiv: 1804.00788 · arxiv_version: 1804.00788v1 · doi: 10.48550/arxiv.1804.00788 · pith_short_12: QR6ZLXQNJIY5 · pith_short_16: QR6ZLXQNJIY5CKXF · pith_short_8: QR6ZLXQN

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/QR6ZLXQNJIY5CKXFBL3CDV3CRS \
  | 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: 847d95de0d4a31d12ae50af621d7628cbaa80bd684cbdf77a1a9a3f89cba2bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd45f5ad8ddb440c7f43fde6e5a0f3a964c613237817556617e9baee883afa58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-03T02:14:43Z",
    "title_canon_sha256": "3adf60ca06e00dea5f7e4bec006ff85ae439521b733b003755eaa8c8702e5cc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00788",
    "kind": "arxiv",
    "version": 1
  }
}