Pith Number

pith:T3BG3MGH

pith:2018:T3BG3MGHB2QY7RMZ5UAAOSGBBD

not attested not anchored not stored refs pending

Boundedness and compactness of commutators associated with Lipschitz functions

Dongyong Yang, Huoxiong Wu, JIanxun He, Weichao Guo

arxiv:1801.06064 v2 · 2018-01-17 · 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{T3BG3MGHB2QY7RMZ5UAAOSGBBD}

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	2026-05-18T00:22:49.066671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec26db0c70ea18fc599ed000748c108c0ba5e4b8a83ffe7dd55041fe35f9e0d

Aliases

arxiv: 1801.06064 · arxiv_version: 1801.06064v2 · doi: 10.48550/arxiv.1801.06064 · pith_short_12: T3BG3MGHB2QY · pith_short_16: T3BG3MGHB2QY7RMZ · pith_short_8: T3BG3MGH

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/T3BG3MGHB2QY7RMZ5UAAOSGBBD \
  | 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: 9ec26db0c70ea18fc599ed000748c108c0ba5e4b8a83ffe7dd55041fe35f9e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "548e48ec93bca8ef85a6b64b3add0be9c17d267355995747e0237e27140ffac5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-17T05:09:42Z",
    "title_canon_sha256": "d7adc6c68014e5b4ec51d9743fb5888a6e4070f33f51ce77c03e635ef1472734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06064",
    "kind": "arxiv",
    "version": 2
  }
}