Pith Number

pith:IO2V6VPI

pith:2019:IO2V6VPI6KRRB6B76X74FCATDK

not attested not anchored not stored refs pending

On the compactness of oscillation and variation of commutators

Dongyong Yang, Huoxiong Wu, Weichao Guo, Yongming Wen

arxiv:1904.09572 v1 · 2019-04-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IO2V6VPI6KRRB6B76X74FCATDK}

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	2026-05-17T23:48:03.876987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43b55f55e8f2a310f83ff5ffc288131a8e836c46c70c536c5b5fae62275428ac

Aliases

arxiv: 1904.09572 · arxiv_version: 1904.09572v1 · doi: 10.48550/arxiv.1904.09572 · pith_short_12: IO2V6VPI6KRR · pith_short_16: IO2V6VPI6KRRB6B7 · pith_short_8: IO2V6VPI

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/IO2V6VPI6KRRB6B76X74FCATDK \
  | 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: 43b55f55e8f2a310f83ff5ffc288131a8e836c46c70c536c5b5fae62275428ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7bd6274bfa56f18346fcf6f433b300561493db8ae6eee0345f873c3b7e14221",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-21T09:59:33Z",
    "title_canon_sha256": "28ab942aee522440ee46fdfee6c6f155498741f66d65cf35c9ca3ae6edd4d4c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09572",
    "kind": "arxiv",
    "version": 1
  }
}