Pith Number

pith:26EQKJ6L

pith:2018:26EQKJ6LG7DAZYEKN2PV2SAKW7

not attested not anchored not stored refs pending

Two weight commutators on spaces of homogeneous type and applications

Brett D. Wick, Dongyong Yang, Ji Li, Marie-Jose S. Kuffner, Ruming Gong, Xuan Thinh Duong

arxiv:1809.07942 v1 · 2018-09-21 · math.CA · 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{26EQKJ6LG7DAZYEKN2PV2SAKW7}

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	2026-05-18T00:05:10.825710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7890527cb37c60ce08a6e9f5d480ab7d2b665fa14cde178d63284068c929d86

Aliases

arxiv: 1809.07942 · arxiv_version: 1809.07942v1 · doi: 10.48550/arxiv.1809.07942 · pith_short_12: 26EQKJ6LG7DA · pith_short_16: 26EQKJ6LG7DAZYEK · pith_short_8: 26EQKJ6L

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/26EQKJ6LG7DAZYEKN2PV2SAKW7 \
  | 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: d7890527cb37c60ce08a6e9f5d480ab7d2b665fa14cde178d63284068c929d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cda58a28acecdc7a55ea711f1068c728d050132ffda07eaeb6641d2c147333d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-09-21T04:33:53Z",
    "title_canon_sha256": "368e06bcae6b02a9ee898cd7919593a4323aef8a9aeea22510d44a166b2a0656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07942",
    "kind": "arxiv",
    "version": 1
  }
}