Pith Number

pith:AMLXCCVQ

pith:2017:AMLXCCVQW66HG4MNG2MADJVQG7

not attested not anchored not stored refs pending

Sharp estimates for commutators of bilinear operators on Morrey type spaces

Dinghuai Wang, Jiang Zhou, Zhidong Teng

arxiv:1703.06395 v1 · 2017-03-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMLXCCVQW66HG4MNG2MADJVQG7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:48:23.026747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0317710ab0b7bc73718d369801a6b037f54e37a3f54517191947f35774d7b5ad

Aliases

arxiv: 1703.06395 · arxiv_version: 1703.06395v1 · doi: 10.48550/arxiv.1703.06395 · pith_short_12: AMLXCCVQW66H · pith_short_16: AMLXCCVQW66HG4MN · pith_short_8: AMLXCCVQ

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/AMLXCCVQW66HG4MNG2MADJVQG7 \
  | 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: 0317710ab0b7bc73718d369801a6b037f54e37a3f54517191947f35774d7b5ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96428ebae8e6b6f4d0c9ca02552e14185b3a96694232f137b7e6143c8d20254e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-19T06:38:49Z",
    "title_canon_sha256": "b61a1a1a9cd4d68f1d1eed7357836bc89b6ee37c34bedf550cf503144d99eade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06395",
    "kind": "arxiv",
    "version": 1
  }
}